JKCET 2021 Exam Date has been Revised now. Now the test will be released on 26th April 2021 (tentative). JKCET is widely called as Jammu & Kashmir Common Entrance Test, which is held state-wise per year for all students curious to get admission in Engineering & Architecture or say B.Tech & B.Arch courses. Jammu & Kashmir Board of Professional Entrance Examination will organize the entrance test of JKCET 2021. This state-level entrance exam is conducted every year to offer admission into B.Tech & B.E Programs. Students have to qualify for this entrance exam to get admission into Engineering programs in different private or government institutions situated in Jammu & Kashmir.

JKCET 2021 Exam Dates

• Important dates given below:

Events	Dates (Tentative)
Release of Notification	1st week of February 2021
Starting of Online registration process	1st week of February 2021
Last date to fill the application	4th week of February 2021
Release of Admit card	2nd week of April 2021
JKCET 2021 Exam	26th April 2021
Result declaration	2nd week of May 2021
Starting off the Counselling process	1st week of June 2021

Eligibility Criteria for JKCET 2021

• The students will be eligible who are belonging to the state of Jammu & Kashmir. Applying students must be a permanent resident of Jammu and Kashmir as per section 6 of the Constitution of J&K state.
• The students will be considered for the exam on the score sheet of 12th issued by the reputed board. Applicants must have passed the 12th level/Higher Secondary test or its equivalent from a recognized University or Board.
• The minimum 50% is required by students to be achieved in the qualifying exam. The reserved students will be eligible for the test by 40% in their exam.
• Those who are applying for Engineering courses need to qualify 12th or the equivalent test with Physics, Chemistry, & Maths. English must be there as language compulsory subject
• The age limit should be 17 years on or prior 31st Dec 2021. Students in his qualifying test must have passed with the primary subjects of Physics, Mathematics, English, & Chemistry.
• Those who are students in the examination can also apply for the test.

JKCET 2021 Application Form

• Students can go through the below details to know complete details of JKCET Application 2021:
• The Application form of JKCET 2021 is expected to be available in the 1st week of February 2021.
• Students have to fill the application form JKCET 2021 online by visiting the website.
• The complete online application process will involve – Registration process, filling up of application form, payment of application fee, uploading the images & printing the application form.
• Keep a scanned copy of signatures, photographs, & other relevant documents ready.
• The last date to fill the application form online is expected until the 4rth week of February 2021.
• During filling the application form, students must make sure to fill all the details correctly in the form. No details can be edited by the students after the final submission of the application.

Application Fee

• The Application Fee is Rs.800/-.
• Applicants can pay the application fee through a credit card/net banking/debit card.

JKCET 2021 Exam Pattern

The exam pattern for JKCET 2021 is given here:

• Exam mode: Offline (Pen-paper based)
• The medium of test: English
• Marking scheme: +1 mark for each correct answer
• Duration: 3 Hours
• Type of questions: Multiple choice questions(MCQ)
• Total marks: 180
• Total questions: 180
• Negative marking: -0.25 marks for each wrong answer

JKCET Syllabus 2021

JKCET Syllabus 2021 has been available officially by the JKCET 2021 authority online. In JKCET there are 4 Subjects are as given below:-

• Physics
• Chemistry
• Biology
• Mathematics

Physics: Unit 1:

Physical World & Measurement (Marks: 02)

S.I. Units, Fundamental And Derived Units, Errors In Measurement, Dimensions Of Physical Quantities, Errors In Measurement, Dimensional Analysis, And Its Applications. Accuracy And Precision Of Measuring Instruments Errors In Measurement. 

Unit 2:

Kinematics (Marks: 03)

Motion In A Straight Line: Position-Time Graph, Speed And Velocity. Elementary Concepts Of Differentiation And Integration For Describing Motion, Motion In A Plane, Addition And Subtraction Of Vectors, General Vector, Notation, Relative Velocity, Scalar And Vector Quantities, Scalar And Vector Products Of Two Vectors With Properties, Unit Vector, Resolution Of A Vector In-Plane Rectangular Components, Projectile Motion. Uniform And Non-Uniform Motion, Average Speed And Instantaneous Velocity.Uniformly Accelerated Motion, Velocity-Time Graph, Position-Time Graphs, Relations For Uniformly Accelerated Motion, (Graphical Treatment And Calculus Approach). 

Unit 3:

Laws Of Motion (Marks: 02)

Concept Of Force And Inertia, Newton’s First Law Of Motion; Momentum And Newton’s Second Law Of Motion, Laws Of Friction, Equilibrium Of Concurrent Forces, Law Of Conservation Of Linear Momentum And Its Applications, Friction, Static And Kinetic Friction, Rolling Friction.

Impulse; Newton’s Third Law Of Motion.

Dynamics Of Uniform Circular Motion: Centripetal Force And Examples Of Circular Motion (Vehicle On Banked Road, Vehicle On Level Circular Road.)

Unit 4:

Work, Energy, And Power (Marks: 02)

Concept Of Scalar Products Of Vectors: Work Done By A Constant Force And Variable Force; Kinetic Energy, Conservation Of Mechanical Energy (K.E. & P.E.) ,Potential Energy Of Spring, Non-Conservative Forces; Elastic And Inelastic Collisions In One And Two Dimensions. Work-Energy Theorem, Power.Potential Energy, Conservative Forces.

Unit 5:

Motion Of System Of Particles and Rigid Body (Marks: 02)

Centre Of Mass of A Two-Particle System, Centre Of Mass Of A Rigid Body.Concepts Of Vector Product Of Vectors: Moment Of A Force, Values Of Moment Of Inertia For Simple Geometric Objects (No Derivation), Torque, Angular Momentum, Conservation Of Angular Momentum With Some Examples, Statement Of Parallel And Perpendicular Axes Theorems And Their Applications, Rigid Body Rotation And Equations Of Rotational Motion.Moment Of Inertia, Radius Of Gyration.

Unit 6:

Gravitation (Marks: 02)

The Universal Law Of Gravitation, Depth, And Shape, Geo-Stationary Satellites, Kepler’s Laws Of Planetary Motion, Orbital Velocity Of Satellite, Acceleration Due To Gravity And Its Variation With Altitude, Gravitational Potential; Gravitational Potential Energy, Escape Velocity.

Unit 7:

Properties Of Bulk Matter (Marks: 02)

Elastic Behavior, Stress-Strain Relationship. Hooke’s Law, Young’s Modulus, Bulk Modulus, Shear Modulus Of Rigidity. Pressure Due To A Fluid Column; Viscosity, Reynolds Number, Stokes’ Law, Pascal’s Law And Its Applications (Hydraulic Lift And Hydraulic Brakes) Terminal Velocity, Streamline & Turbulent Flow, Bernoulli’s Theorem And Its Applications Surface Energy And Surface Tension, Angle Of Contact, Applications Of Surface Tension – Ideas To Drops, Bubbles & Capillary Rise. Heat, Temperature, Thermal Expansion; Specific Heat,  Newton’s Law Of Cooling, Calorimetry, Change Of State-Latent Heat, Heat Transfer-Conduction, Convection, Radiation.

Unit 8:

Thermodynamics (Marks: 02)

 Heat Engines And Refrigerators (Concept Only), Thermal Equilibrium & Definition Of Temperature (Zeroth Law Of Thermodynamics),.Heat Work And Internal Energy, First Law Of Thermodynamics.Second Law Of Thermodynamics: Reversible And Irreversible Processes.

Unit 9:

Behaviour Of Perfect Gas and Kinetic Theory (Marks: 02)

Equation Of State Of A Perfect Gas, Work Done On Compressing A Gas, Kinetic Theory Of Gases – Concept Of Pressure, Assumptions, Kinetic Energy & Temperature: RMS Speed Of Gas Molecules; Degrees Of Freedom, Concept Of Mean Free Path, Law Of Equipartition Of Energy (Statement Only) & Applications To Specific Heat Capacities Of Gases; Avogadro’s Number.

Unit 10:

Oscillations and Waves (Marks: 04)

Periodic Motion – Period, Frequency, Displacement As A Function Of Time Periodic Functions.Simple Harmonic Motion (S.H.M.) And Its Equation; Phase; Oscillations Of A Spring-Restoring Force And Force Constant; Energy In S.H.M. – Kinetic And Potential Energies; Simple Pendulum-Derivation Of Expression For Its Time Period; Free, Forced And Damped Oscillations, Resonance. Wave Motion.Longitudinal And Transverse Waves, Fundamental Mode And Harmonics, the Speed Of A Wave.Principle Of Superposition Of Waves, Displacement Relation For A Progressive Wave, Reflection Of Waves, Standing Waves In Strings And Organ Pipes, Beats, Doppler Effect.

Unit 11:

Electrostatics (Marks: 04)

Electric Charges: Conservation Of Charge, Forces Between Multiple Charges; Coulomb’s Law-Forces Between Two Point Charges, Superposition Principle & Continuous Charge Distribution.

Electric Field: Electric Field Lines, Electric Dipole, Electric Field Due To A Dipole, Combination Of Capacitors In Series & In Parallel, Van De Graff Generator, Torque On A Dipole In Uniform Electric Field, Electric Flux, Electric Field Due To A Point Charge, Statement Of Gauss’s Theorem And Its Applications To Find Field Due To an Infinitely Long Straight Wire, Conductors And Insulators, Uniformly Charged Infinite Plane Sheet And Uniformly Charged Thin Spherical Shell (Field Inside And Outside), Electric Potential, Electric Potential Due To A Point Charge, A Dipole And System Of Charges; Energy Stored In A Capacitor, Equipotential Surfaces, Electrical Potential Energy Of A System Of Two Point Charges And Of Electric Dipole In An Electrostatic Field, Dielectrics And Electric Polarization, Capacitor & Capacitance, Capacitance Of Parallel Plate Capacitor With And Without Dielectric Medium Between The Plates.

Unit 12:

Current Electricity (Marks: 04)

 Ohm’s Law, Electric Current, Electrical Resistance, V-I Characteristics (Linear & Non-Linear), Electrical Resistivity And Conductivity, Electrical Energy And Power, Carbon Resistors, Drift Velocity Kirchhoff’s Laws And Their Applications, Colour Code For Carbon 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. Measurement Of Internal Resistance Of A Cell.Wheatstone Bridge, Metre Bridge.Potentiometer – Principle And Its Application To Measure The Potential Difference And For Comparing E.M.F. Of Two Cells.

Unit 13:

Magnetic Effects Of Current And Magnetism (Marks: 05)

Biot – Savart Law And Its Application To Current-Carrying Circular Loop.Straight And Toroidal Solenoids. Force On 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 AmpereTorque Experienced By A Current Loop In Uniform Magnetic Field; Electromagnets & Factors Affecting Their Strength, Moving Coil Galvanometer, Permanent Magnets.Earth’s Magnetic Field & Magnetic Elements. Its Current Sensitivity And Conversion With Examples.Current Loop As A Magnetic Dipole And Its Magnetic Dipole Moment, Magnetic Field Lines; Para-, Dia- And Ferro-Magnetic Substances With Examples, Ampere’s Law And Its Applications To Infinitely Long Current-Carrying Straight Wire.

Unit 14:

Electromagnetic Induction and Alt. Currents (Marks: 04)

Electromagnetic Induction: Faraday’s Law, Induced Emf, And Current; Lenz’s Law. Eddy Currents, Alternating Currents, Self & Mutual Inductance, Wattless Current, Peak And RMS Value Of Alternating Current/Voltage; Reactance And Impedance; LC Oscillations (Qualitative Treatment Only) & LCR Circuits Series, Resonance; Power In AC Circuits, AC Generators & Transformers.

Unit 15:

Electromagnetic Induction and Alt. Currents (Marks: 04)

Ultraviolet, Electromagnetic Spectrum (Radio Waves, Electromagnetic Waves & Their Characteristics, Transverse Nature Of Electromagnetic Waves, Microwaves, Infrared, Visible, X- Rays, Gamma Rays) Including Elementary Facts About Their Uses.

Unit 16:

Optics (Marks: 07)

Ray Optics-Reflection Of Light, Mirror Formula,  Spherical Mirrors, Refraction Of Light-Total Internal Reflection And Its Applications, Magnification, Refraction At Spherical Surfaces, Lenses, Thin Lens The formula, Lens-Makers Formula, Power Of A Lens.Combination Of Thin Lenses In Contact, Microscope & Astronomical Telescope (Reflecting And Refracting) And Their Magnifying Powers.

Wave Optics: Reflection And Refraction Of Plane Wave At A Plane Surface Using Wave Fronts. Proofs Of Laws Of Reflection And Refraction Using Huygens Principle, Brewster’s Law, Interferences, Uses Of Plane Polarized Light And Polaroid’s, Young’s Double Slit Experiment And Expression For Fringe Width, WaveFront And Huygens’ Principle,  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 Polarized Light.

Unit 17:

Dual Nature Of Matter And Radiation (Marks: 02)

Dual Nature Of Radiation, Particle Nature Of Light, Photoelectric Effect, Matter Waves-Wave Nature Of Particle Hertz And Lenard’s Observations; Einstein’s Photoelectric Equation, Davisson-Germer Experiment, De Broglie Relation.

Unit 18:

ATOMS and NUCLEI (Marks: 03)

Rutherford’s Model Of Atom; Binding Energy Per Nucleon And Its Variation With Mass Number, Bohr’s Model Of Atom, Energy Levels, Alpha-Particle Scattering Experiment, Hydrogen Spectrum. Composition And Size Of Nucleus, Nuclear Fission & Fusion, Atomic Masses, Isotopes, Isobars; Isotones.Radioactivity-Alpha, Beta And Gamma Particles/Rays And Their Properties; Radioactive Decay Law. Mass-Energy Relation, Mass Defect.

Unit 19:

Electronic Devices (Marks: 04)

Conductors, Insulators, And Semiconductors, Quantitative Ideas On Energy Bands In Solids,

Semiconductor Diode: I-V Characteristics In forwarding And Reverse Bias; Solar Cell, Diode As A Rectifier; I-V Characteristics Of LED, Photodiode, Zener Diode; Zener Diode As A Voltage Regulator.Junction Transistor & Its Action, Characteristics Of A Transistor; Transistor As An Amplifier (Common Emitter Configuration) And Oscillator, Transistor As A Switch.Logic Gates (OR, AND, NOT) Concept Of NAND And NOR Gates.

Unit 20:

Communication System (Marks: 02)

Basic Elements Of Communication System (Block Diagram Only), Bandwidth Of Transmission Medium, Bandwidth Of Signals (Speech, TV And Digital Data); Propagation Of Electromagnetic Waves In The Atmosphere, Sky And Space Wave Propagation, Need For Modulation: Production & Detection Of An Amplitude Modulated Wave.

JKCET Chemistry Syllabus 

Unit 1:

Chemical Arithmetic & Atomic Structure (Marks: 03)

Laws of chemical combination, Mole concept (numerical) Percentage composition, Stoichiometry & calculations based on stoichiometry, Chemical reactions.

Atomic structure: Bohr’s model of the Hydrogen atom, de-Broglie wave equation and its significance.Quantum numbers, Pauli’s exclusion principle, Hund’s rule, and Aufbau principle. Heisenberg’s uncertainty principle.

Unit 2:

Chemical Equilibrium (Marks: 04)

Law of mass action, Le-Chatelier’s principle, and its application to physical and chemical equilibria. Hydrolysis of salts, Buffer solutions Common ion effect, Ionization of weak electrolytes (Ostwald’s dilution law)Acids and bases: Acid-base equilibria. Bronsted-Lowry and Lewis concept of acids and bases.Ionic product of water.pH and pOH scales, pKa & pKb values, Solubility product.

Unit 3:

Chemical Kinetics (Marks: 02)

Rate of chemical reaction, Activation energy. Average and instantaneous rate, Arrhenius equation, Factors affecting the rate of reaction, Order and molecularity of reaction, Integrated rate equation and Half-life period (for zero and first-order) reaction.

Unit 4:

Solutions (Marks: 02)

Raoult’s law, Ideal and Non-ideal solutions, Colligative properties.Vapour pressure, Determination of the molecular mass of non-volatile solutes through colligative properties. Abnormal molecular masses & Van’t Hoff Factor.

Unit 5:

Chemical Thermodynamics (Marks: 04)

Enthalpy of combustion, Solution, Neutralization.Internal Energy & Enthalpy changes, Hess’s Law (Numerical problems) Laws of thermodynamics-first, second & third, Energy changes taking place during chemical reactions, Concepts of Entropy and Free energy, Spontaneity of a chemical reaction and Thermodynamic equilibrium.

Unit 6:

Redox Reactions and Electrochemistry (Marks: 03)

Dependence of electrode and cell potential on concentration (Nernst Equation), Relationship between free energy change and E.M.F. of a cell.Electrode potential as a criterion for product formation in electrolysis.Specific conductivity.E.M.F. of Galvanic cell, Definition and units of Equivalent, Molar.

Unit 7:

Solid State & States Of Matter (Marks: 04)

 Charle’s law, Dalton’s law of partial pressures, Vander Waals equation, Graham’s law of diffusion of gases. Causes of deviation from ideal behavior, ideal gas equation, calculation of the density of unit cell, nature of ‘R’, Magnetic & Dielectric, surface tension and viscosity of liquids. Crystalline and amorphous solids, Crystal lattice, Crystal types, Packing efficiency.A number of atoms per unit cell in a cubic cell. Coordination number, Boyle’s Law, Stoichiometric defects: Schottky, Frenkel & interstitial. Properties of solids: Electrical.

Unit 8:

Surface Chemistry (Marks: 02)

Freundlich Adsorption isotherm.Electrical properties (cataphoresis, electroosmosis, coagulation, protective colloids) Homogeneous & Heterogeneous Catalyst Preparation of colloidal solutions by physical and chemical methods.

Unit 9:

Periodic Properties (Marks: 02)

Variation of Ionization energy, Electronegativity, Atomic & Ionic radii along the period and down the group in the periodic table, Electron affinity, Classification of elements as s, p, d, and f block elements.

Unit 10:

Chemical Bonding and Molecular Structure (Marks: 04)

Types of chemical bonds, Ionic & covalent bonds, Hybridization involving s, p, & d-orbitals, Bond parameters, Quantum theory of a covalent bond, pi & sigma bonds, Dipole moments & hydrogen bond.

VSEPR: Shapes of simple molecules ( H2O, NH3, SO2, CO2, PCl3, PCl5, CIF3, BF3, SF4, XeF2, XeF4 ).

Molecular orbital theory: Energy Levels and M.O. diagrams of H2, H2+,He2, O2,O1- 2, O2 2-& F2. Bond order & its significance.

Unit 11:

Chemistry Of Representative Elements (Marks: 04)

S and P Block Elements: Electron configuration, Oxidation states, atomic radii, electron affinity, trends in various properties like ionization energy, electronegativity, and diagonal relationship.

• Alkali metals: Hydration of ions, action with ammonia, the solubility of hydroxides, carbonates, flame coloration, sulfates.
• Alkaline Earth Metals:  sulfates, Solubility of carbonates, hydroxides.
• Boron Family: relative acid strength of trihalides of boron.Structure of halides. 
• Carbon family: oxides and Hydrides
• Nitrogen family:  reducing nature, Oxides of Nitrogen & Phosphorus, basic strength 7 & boiling points of their halides.
• Oxygen family: volatility, thermal stability, oxyacids of sulfur, acid character, reducing character & bond angles of their hydrides.
• Halogen family: color, and oxidizing power, reducing the power of hydracids, boiling point, Bond energy, acid strength & dipole moment, thermal stability, relative acidity & oxidizing power of oxyacids of halogens.

Unit 12:

Transition Elements Including Lanthanides (Marks: 02)

Oxidation states, Colour, and Magnetic properties. Oxides of Vanadium, Chromium and Manganese Alloys of Copper, Silver, and Iron. Metallurgy of Iron, Copper, Electron configuration.

Unit 13:

Coordination Chemistry (Marks: 04)

Introduction: Coordination Number, IUPAC Nomenclature, Ligands.

Bonding theories: Werner’s, VBT & CFT.

Isomerism in Coordination compounds (Ionization, Linkage, Hydrate, Geometrical & Optical). Applications of Coordination complexes in Biology, Medicine & Analytical Chemistry.

Unit 14:

Nomenclature And Basic Concepts Inorganic Chemistry (Marks: 03)

Nomenclature of organic compounds (monofunctional and polyfunctional groups), inductive, electromeric resonance & hyperconjugation effects, elimination,  reaction intermediates, carbocations, carbanions and free radicals with their general stability order, types of organic reactions (addition, substitution, and redox reactions), Ortho, aromaticity on the basis

of Huckel rule, meta, para directing groups.

Unit 15:

Hydrocarbons (Marks: 03)

alkenes, alkynes, and arenas, stereoisomerism: geometrical and optical isomerism, Structural isomerism in alkanes, chirality, the origin of chirality, specific rotation, racemization, and the resolution, relative configuration (D, L- Nomenclature), absolute (R & S system of nomenclature), conformations in ethane and cyclohexane,

Unit 16:

Organic Chemistry Based On Functional Group-I (Marks: 02)

haloarenes, Haloalkanes, alcohols, and phenols: General methods of preparation and

properties. Chloroform & Iodoform.

Unit 17:

Organic Chemistry Based On Function Group-ii (Marks: 03)

Ethers, Aldehydes, Ketones, Monocarboxylic acids: General methods of preparation and properties. Derivatives of monocarboxylic acids such as acid halides, The relative strength of carboxylic acids, acid anhydrides acid amides and esters.

Unit 18:

Organic Chemistry Based On Functional Group-iii (Marks: 03)

Isocyanides, Cyanides Nitrocompounds, and Amines: General methods of preparation and properties, The relative basic character of amines.

Unit 19:

Molecules Of Life (Marks: 03)

Carbohydrates: Definition, Classification, Chemicals in medicine and health care, Mutarotation, Peptides, and Proteins (Polish and ninhydrin tests).Structure of Amino-acids, GreenHouse effect & Global warming.Classification and uses of vitamins.Dyes, and drugs. Chemical reactions in the atmosphere, ozone depletion, and its effects.Acid rain.

Unit 20:

Introduction, Classification, Methods of Polymerisation (Addition, Condensation, Free Radical, Cationic & Anionic).Natural & Synthetic Polymers: Polythene, Polyester, Bakelite, Nylon, Rubber, Biodegradable & Non-Biodegradable Polymers.

JKCET Biology Syllabus

Diversity and classification of plants, Morphology, and anatomy of plants, Biotechnology, and its applications, Plant physiology, Reproduction in flowering plants, Genetics, Ecology, and environment, Biology and human welfare, Diversity in the living world, Histology & morphology, Cell-structure & function

Human physiology, Reproduction, Genetics & Evolution, Biology, and human welfare.

JKCET Mathematics Syllabus 

Unit 1-

Sets, Relations, And Functions (Marks -06)

Sets and their representation, finite and infinite sets, empty set subsets, a subset of real numbers especially intervals, power set, universal set.product,  the inverse of a function.

quotients of functions. Venn diagram, union, and the intersection of sets.binary operations, The difference of sets, Complement of a set.Ordered pairs, the inverse of a function, Cartesian product of sets, the number of elements in the Cartesian product of two finite sets.Relations, Domain, codomain, and range of a relation, types of relations, reflexive, symmetric, transitive and equivalence relations. Functions as a special kind of relations from one set to another, domain, co-domain and range of a function.One to one, onto functions.constant, identity, polynomial, rational, Real-valued functions of a real variable; modulus, signum and the greatest integer functions with their graphs.Sum, difference, Composition of functions.

Unit 2: 

Complex Number; Linear In equation; Linear Programming (Marks: 06)

modulus and amplitude (argument) of a complex number, Argand’s plane and polar representation of complex numbers, The square root of a complex number.algebraic properties of complex numbers.Conjugate of a complex number, The fundamental theorem of algebra, solution of Quadratic equation in the complex number system.

Linear Inequation: The Algebraic solution of linear inequalities in one variable and two variables.feasible and infeasible regions, Linear programming: Introduction, the definition of related terminology such as constraints, objective function, optimization, feasible and infeasible solutions, optimal feasible solutions, different types of linear programming problem (L.P), the mathematical formulation of L.P problem, graphical method of solution for problems in two variables.

Unit 3:

Sequence And Series, Permutation And Combination & Binomial Theorems (Marks: 06)

Sequence and Series: Arithmetic progression (A.P), arithmetic mean (A.M), nth term, sum to n-terms of an A.P, Geometric progression (G.P), Geometric Mean (G.M), nth term, sum to n- terms and sum to infinity of a G.P. Relation between A.M and G.M.Sum to n terms of n, n 2and n 3. Permutation and combination: Fundamental principle of counting, factorial n, permutations P(n,r) and combinations C(n,r), simple applications.

Binomial Theorem: Binomial theorem for positive integral power.Pascal’s triangle & simple applications, general and middle terms in the Binomial expansion.

Unit 4:

Trigonometric & Inverse Trigonometric Functions (Marks: 06)

Measuring angles in radians and degrees,Positive and negative angles, Conversion from one measure to another. Definition of trigonometric functions with the help of the unit circle.Periodicity of Trigonometric functions.Basic Trigonometric identities sin2 x+cos2 x=1 for all Sign of x etc.Trigonometric functions & their graphs.Expressions for sin(x  y),cos(x y),tan(x y),cot(x y), sum & product formulae.Identities related to Sin2x, Cos2x, tan2x, Sin3x, Cos3x, & tan3x. General and principal solutions of trigonometric equations of the type Sin x= Sin a Cos x= Cos a, Tan x= Tan a.Inverse trigonometric functions, range, elementary properties of inverse trigonometric functions,domain, principal value branches. Graphs of inverse trigonometric functions.

Unit 5:

Matrices And Determinants (Marks: 04)

Matrices, concepts, notation, order, equality, types of matrices, Zero matrix, transpose of a matrix, symmetric and skew-symmetric matrices. multiplication,Addition,differentiation.

simple properties of addition, scalar multiplication of matrices, solving systems of linear equations in two or three variables using the inverse of a matrix.multiplication and scalar multiplication of matrices. Non-commutativity of multiplication of matrices and existence of non zero matrices whose product is the zero matrices (order 2×2).Concept of elementary row and column operation, Invertible matrices and uniqueness of inverse, if it exists. (Matrices with real entries). Determinants of square matrix (up to 3×3 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, Integration of a variety of functions.inconsistency, and a number of solutions of a system of linear equations by examples.

Unit 6:

Limit, Continuity, And Differentiation (Marks: 08)

Theorems on Limits, Concept of the limit of a function.quotient of functions.Evaluation of limits using standard results Continuity of a function at a point.product, Continuity of sum, product.

Derivative: Definition of a derivative of a function, geometrical interpretation of the derivative.

A derivative of the sum, difference, A derivative of algebraic and composite functions.A derivative of trigonometric and inverse trigonometric functions. Approximation, Chain rule, derivative of implicit functions.increasing and decreasing functions, The derivative of logarithmic and exponential functions. Rolle’s and Lagrange’s Mean Value Theorem and their geometrical interpretation and their simple applications. product & quotient of two or more functions.Logarithmic differentiation.The derivative of functions expressed in parametric forms. Second-order derivatives.Application of Derivative: Rate of change, tangents, and normals, maxima, and minima (first derivative and second derivative test). Simple problems.

Unit 7:

Integration and Differential Equations (Marks: 07)

partial fractions. Definite integrals as a limit of a sum.Integration as the inverse process of diSubstitution by parts, Basic properties of definite integrals Evaluation of definite integrals.Fundamental Theorem of calculus, Areas of circles, Application of integrals: Application in finding the area under simple curves, especially lines. parabolas, and ellipses (in standard form) Area under the curve y= Sinx, y= Cox, area between the above two curves. Differential Equations: Definition, order, and degree of a differential equation.General & particular solutions of a differential equation.The solution of differential equations by the method of separation of variables.The solution of the linear differential equation of the type.Formation of a differential equation whose general solution is given.The solution of Homogeneous differential equation of first order and first degree. 

Unit 8:

Straight Lines and Conic Sections (Marks: 05)

Distance between two points, section, the slope of a line, General equation of a line.point-slope form, a distance of a point from a line, the angle between two lines, various forms of equations of lines, intercept form, two-point form, and normal form.

Conic Section: Sections of a cone, circles, parabola, ellipse, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerate case of the conic section. Standard equation of a circle, parabola, ellipse, and hyperbola and their simple properties.

Unit 9:

Statistics and Probability (Marks: 06)

STATISTICS Measure of dispersion, mean deviation, variance and standard deviation of ungrouped/ grouped data. Analysis of frequency distributions with equal means but different variances.

• PROBABILITY: Random Experiment: outcome, sample spaces.
• Events: Mutually exclusive and exhaustive events. Axiomatic (set-theoretic) probability, probability of an event, the probability of “Not” and “Or” events.Multiplication theorem on probability, conditional probability, independent events, total probability, Baye’s theorem, random variable and its probability, distribution, mean and variance of a random variable. Repeated independent (Bernoulli) trials and Binomial distribution.

Unit 10:

Vectors and scalars, magnitude and direction of a vector Direction Cosines and ratios of a vector.Types of vector, equal, zero, unit, parallel and collinear vectors. The position vector of appointing, negative of a vector, components of a vector, the addition of vectors, Scalar multiplication, 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, Scalar triple product. Coordinate axes and coordinate planes in three dimensions of a point, the distance between two points and sectional formula.Straight Lines and Space: Direction cosines and direction ratios of a line joining two points. Cartesian and vector equation of a line (in various forms), coplanar and skew lines, the shortest distance between two lines.

Planes: Cartesian and vector equation of a plane (in various forms). The distance of a point

from a plane.

Angle between:

1. Two lines
2. Two planes.
3. A-line and a plane

Admit Card for JKCET 2021

• KCET 2021 Admit can be downloaded from the official websites on the specified dates.
• Students must verify all the information mentioned in the admit card before appearing in the test. Students must ensure that their admit card is not mutilated and damaged in any manner.
• Admit card is an important document, therefore, every student must be present at the test center on the day of the test with a valid admit card. No students will be allowed to enter the test hall without a valid card.

Result for JKCET 2021

JKCET results will be available through online mode. Through the online, the official portal of authority students can check their results. The result will be announced in the form of a merit list on the second or third week of June. To check result students have to enter her/his detail portal if students types incorrect detail web page will show the error for correct page type correct detail in the portal.

Counseling for JKCET 2021

After shortlisting of qualified students in the merit list, JKCET 2021 Counselling process will be organized. The counseling will be organized in online mode in the 1st week of June 2021. Students have to fill their choice of programs and institutions. Also, an amount of Rs.1200 has to be paid by the students as counseling fees. Students will be allotted seats as per the rank obtained in the merit list. Also, students have to submit their original as well as photocopies of their documents/testimonials for the document verification process.