BCECE 2023 Application Form | Apply online, Courses, Exam Pattern, Syllabus

BCECE 2023 represents the Bihar Combined Entrance Competitive Examination and is conducted by Bihar Combined Entrance Competitive Examination Board (BCECEB). It is a state-level exam organised by BCECEB every year. The exam is conducted for admission to undergraduate courses in domains such as  agriculture, pharmacy, and medical in several colleges of Bihar. The exam will be conducted one time only. Candidates will have to  submit the application form in online mode only. We are going to provide you with complete details about the BCECE 2023  exam, such as overview, exam dates, Application form, exam pattern, syllabus, eligibility etc.

The qualified candidates will be eligible to take admission into several government and private institutions in Bihar state. In this blog we have provided details about the BCECE 2023 application form, including eligibility, application dates, etc. In this blog we are going to discuss all the information such as eligibility, application dates, syllabus, important books etc

The BCECE 2023 Application Form is going to be released from 7th May 2023. It is a state level entrance exam conducted by the Bihar Combined Entrance Competitive Examination Board (BCECEB). The BCECEB conducts the Exam every year. Candidates who wish to get admission to various Under-graduate courses  in the domain of pharmacy, agriculture & other courses can apply for the exam. 

Application fees can be paid online as well as in offline mode. For online, debit card, credit card, or net banking can be used.  Offline fees can be paid via NEFT challan.  Fees will be non-refundable in any circumstances.

The application fee Structure  for BCECE 2023 is given below for different categories.

The BCECE 2023 exam will be conducted in one  phase. Candidates must check below the exam pattern of BCECE 2023. The exam will be conducted for medidal, pharmacy and agricultural courses. A total of 100 questions will be given at BCECE 2023. There will be Objective Type Questions that will consist of 4 alternative options. The question paper includes the Physics, Chemistry, Mathematics, Biology & Agriculture subjects. It is compulsory to attempt the Physics & Chemistry sections. Candidates who will apply for engineering will have to attempt mathematics. Question papers will be asked in Hindi and English. The mode of examination will be offline. Candidates will have to solve the question paper in 1 hour 30 minutes (It is for each subject).  Every correct answer will carry +4 marks, and every wrong answer will carry a -1 mark.

The bCECE 2023 Syllabus consists of various subjects such as physics, chemistry, mathematics, biology & agriculture. Below we have the entire syllabus for BCECE 2023 so students can prepare well before appearing for the exam.

scope and excitement, nature of physical laws; physics, technology and society.

Need for measurement : Units of measurement, systems of units. S.I. units, fundamental and derived units, length,mass and time measurements, accuracy and precision of measuring instruments, errors in measurement, significant figures, regular and irregular errors.

Dimensions of physical quantities, dimensional analysis and its applications.

Frame of reference, Motion in straight line, position time graph, speed and velocity. Uniform and non-uniform

motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity time and position time graphs, relations between uniformly accelerated motion (graphical treatment).Elementary concepts of differentiation and integration for describing motion.

Scalar and vector quantities, position and displacement vectors, general vectors and notation, equality of vectors,

Multiplication of vectors by a real number, addition and subtraction of vectors, relative velocity. Unit vector, resolution of a vector in a plane-rectangular component.

Motion in a plane, cases of uniform velocity and uniform acceleration - projectile motion, uniform circular motion.

Intutive concept of force, Inertia, Newton's first law of motion, momentum and Newton's Second law of motion,

impulse, Newton's third law of motion, Law of conservation of linear momentum and its applications.

Equilibrium of concurrent forces, static and kinetic friction, laws of friction, rolling friction, lubrication, dynamics of

uniform circular motion : centripetal force examples of circular motion (vehicle on level circular road, vehicle on banked road).

The scalar product of Victor's work is done by a constant force and a variable force, kinetic energy, work-energy theorem,power.

Notion of potential energy, potential energy of a spring, conservative forces; conservation of mechanical energy

(Kinetic and potential energies), non conservative forces, elastic and inelastic collissions in one and two dimension.

Centre of mass of a two-particle system, momentum, conservation and centre of mass motion, centre of mass of a rigid body, centre of mass of circular ring, disc, rod and sphere.

Vector product of vectors; momentum of a force, torque angular momentum, conservation of angular momentum with some examples.

Equilibrium of rigid bodies, rigid body rotation and equations of rotational motion, comparison of linear and rotational motion, moment of inertia, radius of gyration. Values of M.I. for simple geometrical objects (no derivation), statement of parallel and perpendicular axis theorems and their applications.

Keplar's laws of planetary motion, The universal law of gravitation, Acceleration due to gravity and its variation in altitude and depth.

Gravitational potential energy, gravitational potential, escape velocity, orbital velocity of satellites, Geo-stationary satellites.

Elastic behaviour, stress-strain relationship, Hooke's law, Young's modulus, Bulk modulus, Deformation, Shear modulus of rigidity.

Pressure due to fluid column, Pascal's law and its applications / hydraulic lift and hydraulic brakes).Effect of gravity on fluid pressure.

Viscocity, Stoke's law terminal velocity, Reynold's number, Streamline and turbulent flow, Bernoulli's theorem and its applications.

Surface energy and surface tension, angle of contact, application of surface tension, ideas to drop bubbles and

capillary rise.

Heat, temperature, thermal expansion, specific heat capacity, Calorimetry, change of state, latent heat.

Heat transfer - conduction, convection and radiation, thermal conductivity, Newton's law of cooling.

Thermal equilibrium and definition of temperature (Zeroth law of thermodynamics). Heat, work and internal energy. First law of thermodynamics. Second law of thermodynamics: reversible and irreversible processes. Heat engines and refrigerators.

Equation of state of a perfect gas, work done on compressing a gas.

Kinetic theory of gases : Assumptions, concept of pressure, Kinetic energy and temperature, rms speed of gas

molecules, degrees of freedom, law of equipartition of energy (statement only) and application to specific heat

capacities of gases, concept of mean free path, Avogadro's number.

Periodic motion - period, frequency, displacement as a function of time, periodic functions, simple harmonic motion

(SHM) and its equation, phase, oscillation of a spring - restoring force and force constant energy in SHM - Kinetic

and potential energies, simple pendulum - derivation of expression for its time period) free, forced and damped oscillations (qualitative ideas only), resonance.

Wave motion, longitudinal and transverse waves, speed of wave motion, displacement relation to progressive

waves, principle of superposition of waves, reflection of waves, standing waves in strings and organ pipes,fundamental mode and harmonics, Beats, Doppler effect.

Electric Charge; Conservation of charge, Coulomb's law-force between two point charges, forces between multiple

charges; superposition principle and continuous charge distribution.

Electric field; electric field due to a point charge; electric field lines; electric dipole; electric field due to a dipole; torque on a dipole in a uniform electric field.

Electric flux, statement of Gauss's theorem and its applications to find field due to infinitely long straight wire,

uniformly charged infinite plane sheet and a uniformly charged thin spherical shell (field inside and outside).

Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges;

equipotential surfaces, electrical potential energy of a system of two point charges and of electric dipole in an electrostatic field.

Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarisation,

capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate

is a capacitor with and without dielectric medium between the plates. Energy is stored in a capacitor. Van de Graaff generator.

Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric

current; Ohm's law, electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power,

electrical resistivity and conductivity. Carbon resistors, colour code for carbon resistors; series and parallel

combinations of resistors; temperature dependence of resistance.

Internal resistance of a cell, potential difference and emf of a cell, combination of cells in series and in parallel.

Kirchhoff's laws and simple applications. Wheatstone bridge, metre bridge.

Potentiometer - principle and its applications to measure potential difference and for comparing emf of two cells;

measurement of internal resistance of a cell.

Concept of magnetic field, Oersted's experiment.

Biot- Savart law and its application to the current carrying circular loop.

Ampere's law and its applications to infinitely long straight wire, straight and toroidal solenoids.

Force on a moving charge in uniform magnetic and electric fields. Cyclotron.

Force on a current-carrying conductor in a uniform magnetic field. Force between two parallel current-carrying

conductors-definition of ampere. Torque experienced by a current loop in uniform magnetic field, moving coil

galvanometer-its current sensitivity and conversion to ammeter and voltmeter.

Current loop as a magnetic dipole and its magnetic dipole moment. Magnetic dipole moment of a revolving electron.

Magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on a magnetic dipole (bar magnet) in an uniform magnetic field; bar magnet as an equivalent solenoid; magnetic

field lines; Earth's magnetic field and magnetic elements. Para-, dia- and ferro- magnetic substances, with examples.

Electromagnets and factors affecting their strengths. Permanent magnets.

Electromagnetic induction; Faraday's law, induced emf and current; Lenz's Law, Eddy currents. Self and mutual

inductance.

Need for displacement current.

Alternating currents, peak and rms value of alternating current/ voltage; reactance and impedance; LC oscillations

(qualitative treatment only), LCR series circuit, resonance; power in AC circuits, wattless current.

AC generator and transformer.

Electromagnetic waves and their characteristics (qualitative ideas only). Transverse nature of electromagnetic

waves.

Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays gamma rays) including

elementary facts about their uses.

Reflection of light, spherical mirrors, mirror formula, Refraction of light, total internal reflection and its applications,

optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lens-maker's formula. Magnification, power

of a lens, combination of thin lenses in contact, Refraction and dispersion of light through a prism.

Scattering of light-blue colour of the sky and reddish appearance of the sun at sunrise and sunset.

Optical instruments; Human eye, image formation and accommodation, correction of eye defects (myopia,

hypermetropia, presbyopia and astigmatism) using lenses. Microscopes and astronomical telescopes (reflecting

and refracting) and their magnifying powers.

Wave optics: wave front and Huygens' principle, reflection and refraction of plane wave at a plane surface using

wave fronts. Proof of laws of reflection and refraction using Huygens' principle. Interference, Young's double slit

experiment and expression for fringe width, coherent sources and sustained interference of light. Diffraction due to

a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes. Polarisation,

plane polarised light; Brewster's law, uses of plane polarised light and Polaroids.

Photoelectric effect, Hertz and Lenard's observations; Einstein's photoelectric equation-particle nature of light.

Matter waves-wave nature of particles, de Broglie relation. Davission-Germer experiment.

Alpha-particle scattering experiment; Rutherford's model of atom; Bohr model, energy levels, hydrogen spectrum.

Composition and size of nucleus, atomic masses, isotopes, isobars; isotones, Radioactivity-alpha, beta and gamma

particles/rays and their properties; radioactive decay law. Mass-energy relation, mass defect; binding energy per

nucleon and its variation with mass number; nuclear fission and fusion.

Semiconductors; semiconductor diode - I-V characterstics in forward and reverse bias, diode as a rectifier; I-V

characteristics of LED, photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator. Junction

transistor, transistor action, characterstics of a transistor; transistor as an amplifier (common emitter configuration)

and oscillator. Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch.

Elements of a communication system (block diagram onbly); bandwidth of signals (speech, TV and digital data);

bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky and space

wave propagation. Need for modulation. Production and detection of an amplitude-modulated wave.

General Introduction : Importance and scope of chemistry. Historical approach to particulate nature of matter, laws

of chemical combination, Dalton's atomic theory; concept of elements, atoms and molecules, Atomic and molecular

masses. Mole concept and molar mass; percentage composition, empirical and molecular formula; chemical

reactions, stoichiometry and calculations based on stoichiometry.

Discovery of electron, proton and neutron and their characteristics; atomic number, Isotopes & Isobars, Thomson's

model and its limitation, Rutherford's model and its limitations, Bohr's model and its limitations, concept of shells

and subshells, dual nature of matter and light, De Broglic's relationship, Heisenberg uncertainty principle, concept

of orbitals, Quantum numbers, shapes of S.P. and D orbitals, rules, for filling electrons in orbitals Aufbau principle,

Pauli exclusion principle and Hund's rule, electronic configuration of atoms, stability of half filled and completely

filled orbitals.

Significance of classification, brief history of the development of periodic table, modern periodic law and the present

form of periodic table, periodic trends in properties of elements - atomic radii, ionic radii, ionization enthalpy,

electron gain enthalpy, electro negativity, valence.

Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond,

Covalent characters of Ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR

theory, concept of hybridization involving s, p and d orbitals and shapes of some simple molecules, molecular

orbital, theory of homonuclear diatomic molecules (qualitative idea only). Hydrogen bonding.

Three states of matter, Intermolecular interactions, type of bonding, melting and boiling points. Role of gas laws in

elucidating the concept of the molecule, Boyle's law, Charle's law, Gay Lussac's law Avogadro's law, Ideal behaviour,

empirical derivation of gas equation. Avogadro's number. Ideal gas equation. Derivation from ideal behaviour,

liquification of gases, critical temperature.

Liquid State - Vapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations).

Concepts of system, types of systems, surroundings, work, heat, energy, extensive and intensive properties, state

functions, First law of thermodynamics - internal energy and enthalpy, heat capacity and specific heat, measurement

of ?U and ?H, Hess's law of constant heat summation enthalpy of : bond dissociation, combustion, formation,

atomization, Sublimation, phase transformation, ionization and solution.

Introduction of entropy as a state function, free energy change for spontaneous and non-sponteneous process,

criteria for equilibrium.

Equilibrium in physical and chemical processes dynamic nature of equilibrium, law of mass action, equilibrium

constant, factors affecting equilibrium - Le Chatelier's principle; ionic equilibrium - ionization of acids and bases,

strong and weak electrolytes, degree of ionization, concept of pH. Hydrolysis of salts (elementary idea), buffer

solutions, solubility product, common ion effect (with illustrative examples).

Concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions, applications of

redox reactions.

Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen; hydrides

- ionic, covalent and interstitial; physical and chemical properties of water, heavy water; hydrogen peroxide -

preparation, reactions and structure; hydrogen as a fuel.

s-Block Elements (Alkali and Alkaline earth metals):

General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group,

diagonal relationship, trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii)

trends in chemical reactivity with oxygen, water, hydrogen and halogens; uses.

Sodium carbonate, sodium chloride, sodium hydroxide and sodium hydrogen carbonate, biological importance of 

sodium and potassium.

CaO, CaCO3

and industrial use, lime and limestone. Biological importance of Mg and Ca.

General Introduction p-Block Elements

Group 3 elements : General introduction, electronic configuration, occurrence, Variation of properties, oxidation

states, trends in chemical reactivity, anomalous properties of first element of the group; Boron-physical and chemical

properties, some important compounds : borax, boric acids, boron hydrides. Aluminium : uses, reactions with acids

and alkalies.

Group 4 elements : General introduction, electronic configuration, occurrence, variation of properties, oxidation

states, trends in chemical reactivity, anomalous behaviour of first element, Carbon - catenation, allotropic forms,

physical and chemical properties; uses of some important compounds : oxides. Important compounds of Silicon

and a few uses: Silicon tetrachloride, silicons, silicates and zeolite. (Part-I)

General introduction, methods of qualitative and quantitative analysis, classification and IUPAC nomenclature of

organic compounds.

Electronic displacements in a covalent bond; inductive effect, electromeric effect, resonance and hyper conjugation.

Hemolytic and heterolytic fission of a covalent bond: free radicals, carbocations, carboanions; electrophiles and

nucleophiles, types of organic reactions.

Hydrocarbons :

Alkanes - Nomenclature, isomerism, conformations (ethane only), methods of preparation, physical properties,

chemical reactions including halogenation, free radical mechanism, combustion and pyrolysis.

Alkenes - Nomenclature, structure of double bond (ethane), geometrical isomerism, methods of preparation, physical

properties, chemical reaction : addition of hydrogen, halogen, water, hydrogen halides (Markovnikov's addition

and peroxide effect), ozonolysis, oxidation, mechanism of electrophyllic addition.

Alkynes - Nomenclature, structure of triple bond (ethyne), methods of preparation, physical properties, chemical

reactions; acidic character of alkynes, addition reactions of hydrogen, halogenes, hydrogen halides and water.

Aromatic hydrocarbons - Introduction, IUPAC nomenclature, Benzene : resonance, aromaticity : methods of

preparation, chemical properties.

Mechanism of electrophilec substitution - nitration, sulphonation, halogenation, Friedal Craft's alkylation and

acylation; directive influence of functional group in mono-substituted benzene; carcinogenicity and toxicity.

Environmental pollution - Air, water and soil pollution, chemical reactions in atmosphere smogs, major atmospheric

pollutants : acid rain, ozone and its reactions, effects of depletion of ozone layer, greenhouse effect and global

warming - pollution due to industrial wastes, green chemistry as an alternative tool for reducing pollution, strategy

for control of environmental pollution.

* Solid State

Classification of solids based on different binding forces : molecular, ionic covalent and metallic solids, amorphous

and crystalline solids (elementary idea), unit cell in two dimensional and three dimensional lattices, calculation of

density of unit cell, packing in solids, voids, number of atoms per unit cell in a cubic unit cell, point defects, electrical

and magnetic properties.

Types of solutions, expression of concentration of solutions of solids in liquids, solubility of gases in liquids, solid

solutions, colligative properties--relative lowering of vapour pressure, elevation of Boiling Point, depression of

freezing point, osmotic pressure, determination of molecular masses using colligative properties, abnormal molecular

mass.

Redox reactions, conductance in electrolytic solutions, specific and molar conductivity variations of conductivity

with concentration, Kohlrausch's law, electrolysis and laws of electrolysis (elementary idea), dry cell-electrolytic

cells and Galvanic cells; lead accumulator, EMF of a cell, standard electrode potential, Nernst equation and its

application to chemical cells, fuel cells; corrosion.

Rate of a reaction (average and instantaneous), factors affecting rates of reaction; concentration, temperature,

calatyst; order and molecularity of a reaction; rate law and specific rate constant, integrated rate equations and half

life (only for zero and first order reactions); concept of collision theory (elementary idea, no mathematical treatment)

Adsorption - physisorption and chemisorption; factors affecting adsorption of gases on solids; catalysis: homogenous

and heterogeneous, activity and selectivity: enzyme catalysis; colloidal state: distinction between true solutions,

colloids and suspensions; lyophilic, lyophobic, multimolecular and macromolecular colloids: properties of colloids;

Tyndall effect, Brownian movement, electrophoresis, coagulation; emulsion - types of emulsions.

Principles and methods of extraction - concentration, oxidation, reduction electrolytic method and refining; occurrence

and principles of extraction of aluminium, copper, zinc and Iron.

Group - 5 elements : General introduction, electronic configuration, occurrence, oxidation states, trends in physical

and chemical properties; nitrogen - preparation, properties and uses; compounds of nitrogen: preparation, properties

and uses; compounds of nitrogen: preparation and properties of ammonia and nitric acid, oxides of nitrogen (structure

only); Phosphorous-allotropic forms; compounds of phosphorous: preparation and properties of phosphine, halides

(PCl3, PCl5) and oxoacids (elementary idea only).

Group - 6 elements : General introduction, electronic configuration, oxidation states, occurrence, trends in physical

and chemical properties; dioxygen: preparation, properties and uses; simple oxdides; Ozone, Sulphur-allotropic

forms; compounds of sulphur: preparation, properties and uses of sulphur dioxide; sulphuric acid: industrial process

of manufacture, properties and uses, oxoacids of sulphur (structures only).

Group - 7 elements : General introduction, electronic configuration, oxidation states, occurrence, trends in physical

and chemical properties; compounds of halogens; preparation, properties and uses of chlorine and hydrochloric

acid, interhalogen compounds, oxoacids of halogens (structures only).

Group - 8 elements : General introduction, electronic configuration. Occurrence, trends in physical and chemical

properties, uses. (Part-II)

General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends

in properties of the first row transition metals - metallic character, ionization enthalpy, oxidation states, ionic radii,

colour, catalytic property, magnetic properties, interstitial compounds, alloy formation. Preparation and properties

of K2Cr2O7 and KMnO4.

Lanthanoids - electronic configuration, oxidation states, chemical reactivity and lanthanoid contraction.

Actinoids - Electronic configuration, oxidation states.

Coordination Compounds

Coordination Compounds - Introduction, ligands, coordination number, colour, magnetic properties and shapes,

IUPAC nomenclature of mononuclear coordination compounds, bonding; isomerism, importance of coordination

compounds (in qualitative analysis, extraction of metals and biological systems).

Haloalkanes: Nomenclature, nature of C-X bond, physical and chemical properties, mechanism of substitutionreactions.

Haloarenes: Nature of C-X bond, substitution reactions (directive influence of halogen for monosubstituted

compounds only)

Uses and environmental effects of - dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons,

DDT.

Alcohols : Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only);

identification of primary, secondary and tertiary alcohols; mechanism of dehydration, uses of methanol and ethanol.

Phenols : Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol,

electrophillic substitution reactions, uses of phenols.

Ethers : Nomenclature, methods of preparation, physical and chemical properties, uses.

Aldehydes and Ketones : Nomenclature, nature of carbonyl group, methods of preparation, physical and chemical

properties mechanism of nucleophilic addition, reactivity of alpha hydrogen in aldehydes; uses.

Carboxylic Acids : Nomenclature, acidic nature, methods of preparation, physical and chemical properties; uses.

Amines : Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses,

identification of primary, secondary and tertiary amines.

Cyanides and Isocyanides will be mentioned in relevant places in a context.

Diazonium salts : Preparation, chemical reactions and importance in synthetic organic chemistry.

Carbohydrates - Classification (aldoses and ketoses), monosaccahrides (glucose and fructose), oligosaccharides

(sucrose, lactose, maltose), polysaccharides (starch, cellulose, glycogen); importance.

Proteins - Elementary idea of a - amino acids, peptide bond, polypeptides proteins, primary structure, secondary

structure, tertiary structure and quaternary structure (qualitative idea only), denaturation of proteins; enzymes.

Vitamins - Classification and functions.

Nucleic Acids: DNA & RNA.

Classification - natural and synthetic, methods of polymerization (addition and condensation), copolymerization.

Some important polymers: natural and synthetic like polythene, nylon, polyesters, bakelite, rubber.

Chemistry in Everyday life:

1. Chemicals in medicines - analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs,

antibiotics, antacids, antihistamines.

2. Chemicals in food - preservatives, artificial sweetening agents.

3. Cleansing agents - soaps and detergents, cleansing action. 

1. Sets:

Sets and their representations, Empty set, Finite & Infinite sets. Equal sets, Subsets, Subsets of the set of real

number especially intervals (with notations). Power set, Universal set, Venn diagrams, Union and Intersection of

sets, Difference of sets, Complement of a set.

2. Relation & Functions:

Ordered pairs, Cartesian product of sets, Number of elements in the Cartesian product of two finite sets. Cartesian

product of the reals with itself (upto R X R X R). Definition of relation, pictorial diagrams, domain, condomain and

range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a

function, domain, co-domain & range of a function. Real valued function of the real variable, domain and range of

these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their

graphs, Sum, difference, product and quotients of functions.

3. Trigonometric Functions:

positive and negative angles. Measuring angles in radians & in degrees and conversion from one measure to

another. Definition of trigonometric functions with the help of unit circle. Truth of the identify sin2x + cos2 x = 1, for

all x. Signs of trigonometric functions and sketch of their graphs. Expressing sin (x + y) and cos (x + y) in terms of

sin x, sin y, cos x, & cos y.

Identities related to sin2x, cos2x, tan2x, sin3x, cos3x and tan3x. General solution of trigonometric equations of the

type sin? = sina, cos? = cosa and tan? = tana. Proof and simple application of sine and cosine formula.

1. Principle of Mathematical Induction :

Processes of the proof by induction, motivating the application of the method by looking at natural numbers as the

least inductive subset of real numbers. The principle of mathematical induction and simple applications.

2. Complex Numbers and Quadratic Equations:

Need for complex numbers, especially v-1, to be motivated by inability to solve every quadratic equations. Brief

description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers.

Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.

3. Linear Inequalities:

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number

line. Graphical solution of linear inequalities in two variables. Solution of a system of linear inequalities in two

variables - graphically.

4. Permutation & Combination :

Fundamental principle of counting. Factorial n. (n!) Permutation and combinations, derivation of formulae and their

connections, simple applications.

5. Binomial Theorem:

History, statement and proof of the binomial theorem for positive integral indices. Pascal's triangle, General and

middle term in binomial expansion, simple applications.

6. Sequence & Series:

Sequence and Series. Arithmetic progression (A.P.) arithmetic mean (A.M.) Geometric progression (G.P.), general

term of a G.P. Sum of n terms of a G.P., geometric mean (G.M.), relation between A.M. and G. M. Sum to n terms

of the special series , ?n and ?n2 and ?n3.

1. Straight Lines :

Brief recall of 2D from earlier classes. Slope of a line and angle between two lines. Various forms of equations of

a line : parallel to axes, point-slope form, slope-intercept form, two-point form, intercepts form and normal form.

General equation of a line, Distance of a point from a line.

2. Conic Section :

Sections of a cone : circle, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a

degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola.

Standard equation of a circle.

3. Introduction to Three Dimensional Geometry :

Coordinate axes and coordinate planes in three dimensions, Coordinates of a point. Distance between two points

and section formula.

1. Limits and Derivatives :

Derivative introduced as rate of change both as that of distance function and geometrically, intuitive idea of limit.

Definition of derivative, relate it to slope of tangent of the curve, derivative of sum, difference, product and quotient

of functions. Derivatives of polynomial and trigonometric functions.

MATHEMATICAL REASONING

1. Mathematical Reasoning

Mathematically acceptable statements. Connecting words / phrases - consolidating the understanding of "if and

only if (necessary and sufficient) condition", "implies", "and / or", "implied by", "and", "or", "there exists" and their

use through variety of examples related to real life and Mathematics. Validating the statements involving the

connecting words - difference between contradiction, converse and contrapositive.

STATISTICS & PROBABILITY (I)

1. Statistics :

Measure of dispersion; mean deviation, variance and standard deviation of ungrouped / grouped data. Analysis of

frequency distributions with equal means but different variances.

2. Probability :

Random experiments: outcomes, sample spaces (set representation). Events: occurrence of events, 'not', 'and' 'or'

events, exhaustive events, mutually exclusive events Axiomatic (set theoretic) probability, connections with the

theories of earlier classes. Probability of an event, probability of 'not' 'and' & 'or' events.

* RELATIONS AND FUNCTIONS.

1. Relations and Functions :

Types of relations : reflexive, symmetric, transitive and equivalence relations, One to one and onto functions,

composite functions inverse of a function, Binary operations.

2. Inverse Trigonometric Functions :

Definition, range, domain principal value branches. Graphs of inverse trigonometric functions Elementary properties

of inverse trigonometric functions.

1. Matrices :

Concept, notation, order, equality types of matrices zero matrix transpose of a matrix, symmetric and skew symmetric

matrices, Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication

and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose

product is the zero matrix (restrict to square matrices of order 2). Concept of elementary row and column operations,

Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

2. Determinants :

Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications

of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency

and number of solutions of system of linear equations by examples, solving system of linear equations in two or

three variables (having unique solution) using inverse of a matrix.

1. Continuity and Differentiability :

Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric

functions, derivative of implicit function. Concept of exponential and logarithmic functions and their derivatives.

Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second order derivatives, Rolle's

and Lagrange's Mean Value Theorems (without proof) and their geometric interpretations.

2. Applications of Derivatives :

Applications of derivatives : rate of change, increasing/decreasing functions, tangents & normals, approximation,

maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable

tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

Integrals :

Integration as inverse process of differentiation. Integration of a variety of functions by substitution by partial

fractions and by parts, only simple integrals. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus

(without proof). Basic properties of definite integrals and evaluation of definite integrals.

4. Applications of the Integrals :

Applications in finding the area under simple curves, especially lines, areas of circles / parabolas / ellipses (in

standard form only), area between the two above said curves (the region should be clearly identifiable).

5. Differential Equations :

Definition, order and degree, general and particular solutions of a differential equation. Formation of differential

equation whose general solution is given. Solution of differential equations by method of separation of variables,

homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the

type:

dy

____ + py = q, where p and q are functions of x.

dx

1. Vectors :

Vectors and scalars, magnitude and direction of a vector. Direction cosines / ratios of vectors. Types of vectors

(equal unit zero parallel and collinear vectors), position vector of a point, negative of a vector, components of a

vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment

in a given ratio. Scalar (dot) product of vectors, projection of a vector on a line. Vector (cross) product of vectors.

2. Three - dimensional Geometry :

Direction cosines / ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew

lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines,

(ii) two planes, (iii) a line and a plane. Distance of a point from a plane.

LINEAR PROGRAMMING

1. Linear Programming :

Introduction, definition of related terminology such as constraints, objective function, optimization, different types

of linear programming (L.P.) problems, mathematical formulation of L.P. problems, graphical method of solution for

problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions

(up to three non-trivial constaints).

PROBABILITY (II)

1. Probability :

Multiplication therorem on probability. Conditional probability, independent events, total probability, Baye's theorem,

Random variable and its probability distribution, mean and variance of haphazard variable. Repeated independent

(Bernoulli)trials and Binomial distribution.

- Diversity of living organism.

- Classification of the living organisms (five kingdom classification, major groups principles of classification within

each kingdom).

- Systematics and binomial system of nomentlature.

- Salient features of animal (non chlordates up to phylum level, and chlordates up to class level) and plant (major

groups; Angiosperms up to subclass) classification.

- Botanical garden, herbaria, zoological parks museums.

Tissues in animals and plants.

Morphology, anatomy and functions of different parts of flowering plants : Root, stem, leaf, inflorensence, flower,

fruit and seed.

Morphology, anatomy and functions of different systems of an annelid (earthworm), an insect (cockroach) and an

amphibian (frog.)

Cell : Cell wall, cell membrane and cell organelles (plastids, mitochondria, endoplasmic reticulum, Golgi bodies/

dictyosomes, ribosomes, lysosomes, vacuoles, centrioles) and nuclear organisation.

Mitosis, meiosis, cell cycle.

Basis chemical constituents of living bodies.

Structure and functions of carbohydrates, proteins, lipids and nucleic acids.

Enzymes : Types, properties and function.

Movement of water, food, nutrients and gases.

Plants and Water : Mineral nutrition

Respiration

Photosynthesis

Plant growth and development

Digestion and absorption.

Breathing and respiration

Body fluids and circulation

Excretory products and elimination

Locomotion and movement

Control and coordination

- Pollination and fertilization in flowering plants.

- Development of seeds and fruits.

- Human reproduction : reproductive system in male and female, menstrual cycle. Production of gametes, fertilization,

implantation, embryo development,, pregnancy and parturation.

- Reproductive health-birth control, contraception and sexually transmitted diseases.

- Mendelian inheritance.

- Chromosome theory of inheritance, deviations from Mendelian ratio (gene interaction-Incomplete dominance, codominance, complementary genes, multiple alleles.)

- Sex determination in human beings: XX, XY.

- Linkage and crossing over.

- Inheritance pattern of haemophilia and blood groups in human beings.

DNA : replication, transcription, translation.

- Gene expression and regulation.

- Genome and Human Genome Project.

- DNA fingerprinting.

Evolution : Theories and evidences.

- Animal husbandry.

- Basic concepts of immunology, vaccines.

- Pathogens, Parasites.

- Plant breeding, tissue culture, food production.

- Microbes in household food processing, industrial production, sewage treatment and energy generation.

- Cancer and AIDS.

- Adolescene and drug/alcohol abuse.

- Recombinant DNA technology.

- Applications in Health, Agriculture and Industry.

- Genetically modified (GM) organism; biosafety issues.

- Insulin and Bt cotton.

Ecosytems: components, types and energy flow.

Species, population and community.

Ecological adaptations.

Centres of diversity and conservation of biodiversity, national parks and sanctuaries.

- Definition of Agriculture, Brief history of Agriculture.

- Disciplines of Agriculture: Agronomy, Soil Science, Plant breeding and genetics, Horticulture, Entomology, Plant pathology,

Extension education, Agricultural economics, Agricultural engineering, Agricultural statistics ( One paragraph description on

each discipline)

- National and International agricultural institutes in India.

- Agro climatic Zones of India and Bihar.

- Elements of Weather-rainfall, temperature, humidity, wind velocity, sunshine, weather forecasting' Climate change in

relation to crop production.

- Tillage: Definition, Objective and types of tillage.

- Tillage implements (primary, secondary and inter tillage).

- Soil tilth, its importance and effect on soil properties.

- Tillage practices (conventional) Vs. conservation and zero tillage).

- Methods of sowing / planting, Depth of sowing, transplanting and harvesting.

- Soil as a natural three dimensional resource.

- Soil classification, major soils of India/ Bihar.

- Soil profile, soil texture and structure, Soil Organism, Soil reaction / pH.

- Soil water.

- Soil fertility & productivity and their indicators.

- Essential plant nutrients, their functions and deficiency symptoms.

- Sufficiency and toxic levels of nutrients.

- Fertilizers, manures, bio-=fertilizers, integrated nutrient management.

- Fertilizer placement, top dressing ad foliar application.

- Mendle's Laws of inheritance and its exception and significance.

- Qualitative and quantitative traits and their inheritance.

- Plant Breeding: Definition, history, objective and its achievements.

- Hetrosis, its basis and exploitation.

- Breeding methods for crop improvement:- Introduction, selection, hybridization, mutation, polyploidy, population improvement.

- Recent method of crop improvement, plant biotechnology and genetic engineering.

- Plant Genetic Resources: their collection, conservation and utilization.

- Seed: Formation, classification and multiplication.

- Intellectual Property Right: Definition, Classification and its importance.

- Agricultural Implements:- cultivators, M.B. plough, Disc, Zero till seed drill, Rotavator, Power tiller, Tractor, Harvester

- Engine- I.C. Engine: parts of engine and their work. Working of I.C. Engine, Working of 2 and 4 stroke engines. Difference

between 2 stroke and 4 stroke engine, Difference between diesel and petrol engine, problems and troubleshooting of engine,

Maintenance of engine, Maintenance after 100 hours and Maintenance after 500 hours.

- Electric motor: D.C. and A.C. 3 phase induction motor, Single phase induction motor, Types of motor, Capacitor, Selection

of electric motor.

- Sowing: Method of seeding or sowing, Seed-cum-fertilizer drill, Calibration of seed drill machine, thresher- its working and

maintenance, winnower.

- Harvesting Equipment, working principle of mower, Problems and maintenance of harvesting equipments.

- Importance of crop insect-pests, diseases, nematodes, rodents.

- Important insect-pest and diseases of field crops, vegetables, fruits and stored grain pests and their management.

- Methods of control of insects-pests and disease:- Physical, Mechanical, cultural, biological, chemical, anticidal, legal method

and integrated pest management.

- Pesticides and their classification, symptoms of poisoning, First aids and antidotes.

- Harmful effects of insecticides.

- Effect of the environment (temperature, moisture, wind, light, soil pH) on pest development.

Animal Husbandry, Dairy and Fish Production

- Importance of livestock in agriculture & industry

- Important developmental programmes by Central or State Government for improvement of livestock ( Operation Flood)

- Important indigenous and exotic breeds of Cattle, buffalo, sheep, goat & poultry.

- System of housing in cattle & poultry.

- Principles of feeding.

- Management of cattles at the time of (i) calving (ii) new born calf (iii) heifers (iv) milch animals (v) pregnant animals and

poultry (vi) Bullocks (Chicks pullets, Layers, Broilers)

- Principles of feeding of different classes of animals, calves, pregnant animals, lactating animals, Bullocks and Poultry

(Chicks, Pullets, Layers & Broilers)

- Methods of conservation of green fodder (hay making & silage making)

- Sign of sick & healthy animals, etiology symptoms, prevention and control of common diseases in cattle & poultry.

(i) Rinderpest (ii) Foot & mouth disease (iii) Rabies (iv) Haemorrahagicsepticaemia (v) Black quarter (vi) Mastitis (Vii)

Trypanosoniasis (viii) Basesiosis (ix) Coccidiosis (x) Ranikhat disease (xi) Fowl pox (xii) I.B.D. or Gumboro disease.

- Artificial insemination (Definition, Benefits, Drawbacks).

- Principle and methods of milking, clean milk production.

- Modern methods of fish production.

Economic importance, origin, distribution, soil and climatic requirement, varieties, cultural practices (Seed bed preparation,

seed treatment, time and method of sowing/ planting, seed rate; dose, method and time of fertilizer application, irrigation, inter culture

and weed control; common pests and diseases caused by bacteria, fungi, virus and nematode, integrated pest management, harvesting,

threshing, post harvest technology, storage, processing and marketing and major production constraints) of following crops:

- Cereals: Paddy, Wheat, maize.

- Pulses: pigeon pea, gram, lentil, pea mung bean, urd bean.

- Oilseeds: Groundnut, rapeseed and mustard, Linseed, sunflower.

- Cash crops: Sugarcane, jute.

- Fooder and forage crops: Sorghum, maize, oat, napier grass berseem

- Crop rotation, sequential cropping, mixed cropping, inter cropping, parallel cropping multi-storied cropping, multiple

cropping, cropping system / cropping pattern, cropping intensity.

- Important cropping system for rainfed and irrigated ecosystem of Bihar.

- Water requirement, Irrigation requirement, concept of irrigation scheduling.

- Field capacity, permanent wilting point, plant available water.

- Method of irrigation.

- Importance of drainage, drainage methods.

- Problem soils and its management-saline alkaline, acid soil and water logged (Diara and Tal)

1. Definition of weeds, Characteristics of weeds, Harmful and beneficial effects of weeds.

2. Crop-weed competition,

3. Weed management : Principles, mechanical, cultural, chemical, biological, Integrated weed management.

4. Herbicides.

Organic farming, Integrated farming system, recycling of plant nutrients, precision farming, watershed management, ground

water recharge, targeted yield concept.

Agricultural economics

- Major economic problems in agriculture.

- Role and share of agriculture in state economy.

- Land use classification.

- Land distribution and size of holding.

Area, production, and productivity of major crops in the state with reference to country.

- Marketing of agricultural produce, cooperative farming, corporate farming, contract farming, integrated value chain

- Importance of fruits and vegetables in human diet.

- Area & production of horticultural crops and its future prospect.

- Classification of horticultural crops according to climatic adaption and economic use.

- Planting system, high density orchard, training, pruning, intercropping and rejuvenation of fruit trees.

- Protection from frost and sunburn

- Plant propagation and nursery management.

- Establishment of new orchards and its layout.

- Coltivation of major fruit crops :

Mango, Papaya, Banana, Guava, Citrus, Litchi, Strawberry, Coconut, Aonla, Ber, Jack fruit.

- Cultivation practices of major vegetables -

Radish, Carrot, Sugar beet, Potato, Onion, Garlic, Chillies, Cauliflower, Brinjal, Tomato, Spinach, Cabbage, Elephant foot

yam, Colocasia, Corriender, Pointed gourd, Bottle gourd, Bitter gourd, Sponge gourd and Cucumber, Bhindi, Cowpea, French

bean, Pea.

- Nutritional kitchen gardening.

- Cultivation of Chrysanthemums, Roses, Dahlia, Marigold, Tube rose, Gladiolus.

- Cultivation of ornamental shrubs, avenue trees, and climbers.

- Cultivation of Mentha, Lemon grass, Citronella.

- Introduction of medicinal plants.

- Principles and methods of fruit and vegetable preservation.

- Preparation of fruit squash, jellies, jams, ketchup, chips, pickles and their packing.

VI. Extension education

- Extension education : Definition, Scope, Objective, Importance.

- Extension methods and tools.

  Here we are going to discuss the eligibility criteria to apply for BCECE 2023 in various courses such as medical, agriculture, pharmacy, etc. Candidates can check the qualification, domicile & other eligibility from below. 

Nationality- 

Qualifying Exam-Candidates must pass the intermediate or equivalent exam of a recognized board.

Subjects- It is compulsory to pass the qualifying exam with physics and chemistry as compulsory subjects and there will be one elective subject from mathematics/biology subjects.

Minimum Marks- the minimum 45% marks (for the general students) and 40% marks (for the reserved students) in the intermediate or equivalent exam.

Students who are appearing in the 12th/equivalent exam are also eligible to apply but they should have passed the appearing exam during the time of counselling.

Qualifying Exam- Pass 10+2/higher secondary/ISc or its equivalent examination from the recognized university.

Subjects- Candidates should pass the above exam with English (Language & Literature), Physics, Chemistry, Biology (Botany & Zoology). Students who are appearing in the 12th/equivalent exam are also eligible to apply but they should have passed the appearing exam during the time of counselling.

The BCECE  2023 Admit Card details will be declared a few days before the exam. Students are advised to keep checking our page for further details regarding the Admit Card. The admit cards will be available on the BCECEB official website.

The results for the BCECE  2023 will be released after the completion of the exam. Candidates can check the official site of BCECEB of Bihar state for further updates.

Ans-The full form of BECEB is the Bihar Combined Entrance Competitive Examination Board.  

  Ans-1 mark will be cut as a negative marking in BCECE 2023.

Ans- Counseling will be done after the BCECE  exam 2023?

Ans- Application will start from 3rd week of May 2023

Ans- BCECE 2023 exam will take place on the 4th week of July 2023.