JEE Main Syllabus 2026 for BE/BTech, BArch, BPlanning, Complete Topics List, PDF

JEE Main 2026 Paper 1: BE/BTech (Overview)

Exam Mode

Computer-Based Test (CBT)

Type of Questions

Objective Type – Multiple Choice Questions (MCQs)

Number of Sections/Subjects

• Each of the following subjects (PCM) will have two sections: Section A and Section B.

• Section B will contain Questions whose answers are to be filled in as a numerical value.

• The total number of sections will be 6.

1. Physics (Section A = 20 questions, Section B = 5 Questions, Total Marks = 100)

2. Chemistry (Section A = 20 questions, Section B = 5 Questions, Total Marks = 100)

3. Mathematics (Section A = 20 questions, Section B = 5 Questions, Total Marks = 100)

JEE Main 2026 Paper 2A: BArch (Overview)

Exam Mode

Part I: Mathematics Exam Mode: Computer-Based Test (CBT)

Part II: Aptitude Test Exam Mode: Computer-Based Test (CBT)

Part II: Drawing Test Exam Mode: Pen and Paper Based (Offline)

Type of Questions

Part I: Mathematics: Objective Type - Multiple Choice Questions (MCQs)

Part II: Aptitude Test: Objective Type - Multiple Choice Questions (MCQs)

Part II: Drawing Test Exam: Questions to test drawing aptitude

Number of Sections/Subjects

• Section A of Mathematics will contain MCQs.

• Section B of Mathematics will contain Questions whose answers are to be filled in as a numerical value.

• The total number of sections will be 4.

1. Part I: Mathematics (20 questions, Section B = 5 Questions, Total Marks = 100)

2. Part II: Aptitude Test (50 questions, Total Marks = 200)

3. Part III: Drawing Test (2 questions, Total Marks = 100)

JEE Main 2026 Paper 2B: BPlanning (Overview)

Exam Mode

Part I: Mathematics Exam Mode: Computer-Based Test (CBT)

Part II: Aptitude Test Exam Mode: Computer-Based Test (CBT)

Part II: Planning-Based Questions Exam Mode: Computer-Based Test (CBT)

Type of Questions

Part I: Mathematics: Objective Type - Multiple Choice Questions (MCQs)

Part II: Aptitude Test: Objective Type - Multiple Choice Questions (MCQs)

Part III: Planning: Questions to test drawing aptitude

Number of Sections/Subjects

• Section A of Mathematics will contain MCQs.

• Section B of Mathematics will contain Questions whose answers are to be filled in as a numerical value.

• The total number of sections will be 4.

1. Part I: Mathematics (Section A = 20 questions, Section B = 5 Questions, Total Marks = 100)

2. Part II: Aptitude Test (50 questions, Total Marks = 200)

3. Part III: Planning (25 questions, Total Marks = 100)

JEE Main 2026 Paper 1 (BE/BTech) Mathematics Syllabus

Unit 

Topics

Unit 1: Sets, Relations and Functions

Sets and their representation; Union, intersection and complement of sets their algebraic properties; Power set; Relations, type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions.

Unit 2: Complex Numbers and Quadratic Equations

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, Quadratic equations in real and complex number systems and their solutions; Relations between roots and coefficients, nature of roots, the formation of quadratic equations with given roots.

Unit 3: Matrices and Determinants

Matrices, algebra of matrices, type of matrices, determinants and matrices of order two and three, evaluation of determinants, area of triangles usingdeterminants; Adjoint and inverse of a square matrix; Test of consistency andsolution of simultaneous linear equations in two or three variables using matrices.

Unit 4: Permutations and Combinations

The fundamental principle of counting, permutations and combinations; Meaningof P(n, r) and C(n, r). Simple applications.

Unit 5: Binomial Theorem and its Simple Applications

Binomial theorem for a positive integral index, general term and middle term and simple applications.

Unit 6: Sequence and Series 

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M.

Unit 7: Limit, Continuity and Differentiability

Real–valued functions, algebra of functions; polynomial, rational, trigonometric, logarithmic and exponential functions; inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite andimplicit functions; derivatives of order upto two, Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable.

Unit 8: Integral Calculus

Integral as an anti-derivative, Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type

The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves by simple curves in standard forms.

Unit 9: Differential Equations

Ordinary differential equations, their order and degree, the solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type

Unit 10: Co-Ordinate Geometry

Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the co-ordinate axis.

Straight line: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point from a line, and co-ordinates of the centroid, orthocentre and circumcentre of a triangle.

Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre, the equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms.

Unit 11: Three Dimensional Geometry

Coordinates of a point in space, the distance between two points, the section formula, direction ratios and direction cosines and the angle between two intersecting lines. Equation of a line; Skew lines, the shortest distance between them and its equation

Unit 12: Vector Algebra

Vectors and scalars, the addition of vectors, components of a vector in twodimensions and three-dimensional spaces, scalar and vector products.

Unit 13: Statistics and Probability

Measures of dispersion; calculation of mean, median, and mode of grouped and ungrouped data; calculation of standard deviation, variance, and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Bayes' theorem, distribution of a random variable.

Unit 14: Trigonometry

Trigonometrical identities and trigonometrical functions, inverse trigonometrical functions their properties.

Unit

Topics

Unit 1: Units and Measurements

Units of measurements, System of units, SI Units, fundamental and derived units, least count, significant figures, errors in measurements. Dimensions of physical quantities, dimensional analysis and its applications.

Unit 2: Kinematics

Frame of reference, motion in a straight line, speed and velocity, uniform and non-uniform motion, average and instantaneous velocity, uniformly accelerated motion, velocity-time and position-time graphs, equations of motion, relative velocity. Motion in a plane, projectile motion, uniform circular motion.

Unit 3: Laws of Motion

Force and inertia, Newton’s laws of motion, momentum, impulse, conservation of linear momentum and applications, equilibrium of concurrent forces. Static and kinetic friction, laws of friction, rolling friction. Dynamics of uniform circular motion, centripetal force and applications (vehicle on level and banked roads).

Unit 4: Work, Energy and Power

Work done by constant and variable force, kinetic and potential energy, work-energy theorem, power. Potential energy of a spring, conservation of mechanical energy, conservative and non-conservative forces, motion in a vertical circle. Elastic and inelastic collisions in one and two dimensions.

Unit 5: Rotational Motion

Centre of mass of two-particle system and rigid body, rotational motion basics, torque, angular momentum and its conservation. Moment of inertia, radius of gyration, values for simple geometrical bodies, parallel and perpendicular axis theorems. Equilibrium of rigid bodies, rotational motion equations, comparison of linear and rotational motion.

Unit 6: Gravitation

Universal law of gravitation, acceleration due to gravity and its variation, Kepler’s laws, gravitational potential energy and potential, escape velocity, satellite motion, orbital velocity, time period and energy of satellite.

Unit 7: Properties of Solids and Liquids

Elastic behaviour, stress-strain relationship, Hooke’s law, Young’s modulus, bulk modulus, modulus of rigidity. Fluid pressure, Pascal’s law, viscosity, Stoke’s law, terminal velocity, streamline and turbulent flow, Bernoulli’s principle. Surface tension, surface energy, angle of contact, capillary rise. Heat, temperature, thermal expansion, calorimetry, latent heat, heat transfer (conduction, convection, radiation).

Unit 8: Thermodynamics

Thermal equilibrium, zeroth law of thermodynamics, heat, work and internal energy. First law of thermodynamics, isothermal and adiabatic processes. Second law of thermodynamics, reversible and irreversible processes.

Unit 9: Kinetic Theory of Gases

Equation of state of perfect gas, work done in compressing gas, assumptions of kinetic theory, pressure concept, RMS speed, degrees of freedom, law of equipartition of energy, mean free path, Avogadro’s number.

Unit 10: Oscillations and Waves

Oscillations, periodic motion, SHM and its equation, phase, oscillations of spring, energy in SHM, simple pendulum time period derivation. Wave motion, longitudinal and transverse waves, wave speed, progressive waves, superposition principle, reflection, standing waves, harmonics, beats.

Unit 11: Electrostatics

Electric charges and conservation, Coulomb’s law, superposition principle. Electric field and field lines, dipole and torque on dipole. Electric flux, Gauss’s law and applications. Electric potential, potential energy, equipotential surfaces. Capacitors, capacitance, series and parallel combinations, parallel plate capacitor, energy stored in capacitor.

Unit 12: Current Electricity

Electric current, drift velocity, mobility, Ohm’s law, resistance, I-V characteristics, resistivity, conductivity, series and parallel resistors, temperature dependence. Internal resistance, EMF, combination of cells. Kirchhoff’s laws, Wheatstone bridge, Metre bridge.

Unit 13: Magnetic Effects of Current and Magnetism

Biot-Savart law, Ampere’s law, force on moving charge and current-carrying conductor, torque on current loop, moving coil galvanometer and its conversion. Magnetic dipole, bar magnet as solenoid, magnetic properties of materials, effect of temperature.

Unit 14: Electromagnetic Induction and Alternating Currents

Faraday’s law, Lenz’s law, eddy currents, self and mutual inductance. Alternating currents, RMS and peak values, reactance, impedance, LCR circuit, resonance, AC generator, transformer.

Unit 15: Electromagnetic Waves

Displacement current, characteristics of electromagnetic waves, transverse nature, electromagnetic spectrum and applications.

Unit 16: Optics

Reflection and refraction, spherical mirrors and lenses, lens maker formula, total internal reflection, prism, microscope and telescope. Wave optics: Huygens’ principle, interference, Young’s double-slit experiment, diffraction, polarization and Brewster’s law.

Unit 17: Dual Nature of Matter and Radiation

Photoelectric effect, Einstein’s equation, particle nature of light, matter waves, de Broglie relation.

Unit 18: Atoms and Nuclei

Rutherford model, Bohr model, hydrogen spectrum. Nuclear composition, mass defect, binding energy, nuclear fission and fusion.

Unit 19: Electronic Devices

Semiconductors, p-n junction diode characteristics, rectifier, LED, photodiode, solar cell, Zener diode and voltage regulation. Logic gates (OR, AND, NOT, NAND, NOR).

Unit 20: Experimental Skills

Vernier calipers, screw gauge, simple pendulum, metre scale (principle of moments), Young’s modulus, surface tension, viscosity, speed of sound, specific heat capacity, metre bridge, Ohm’s law, galvanometer, focal length (mirror and lens), prism deviation, refractive index, diode and Zener characteristics, identification of electronic components.

Unit

Topics

Unit 1: Some Basic Concepts in Chemistry

Matter and its nature, Dalton’s atomic theory, atom, molecule, element and compound, laws of chemical combination, atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae, chemical equations and stoichiometry.

Unit 2: Atomic Structure

Electromagnetic radiation, photoelectric effect, hydrogen spectrum, Bohr’s model and its limitations, dual nature of matter, de Broglie relation, Heisenberg uncertainty principle, quantum mechanical model, atomic orbitals, quantum numbers, shapes of s, p, d orbitals, electron spin, Aufbau principle, Pauli’s exclusion principle, Hund’s rule, electronic configuration and stability of half-filled and fully filled orbitals.

Unit 3: Chemical Bonding and Molecular Structure

Ionic and covalent bonding, lattice enthalpy, electronegativity, Fajan’s rule, dipole moment, VSEPR theory, valence bond theory, hybridization, resonance, molecular orbital theory, bond order, bond length, bond energy, metallic bonding, hydrogen bonding.

Unit 4: Chemical Thermodynamics

Thermodynamic system and surroundings, state functions, first and second laws of thermodynamics, enthalpy, entropy, Gibbs free energy, Hess’s law, bond enthalpy, spontaneity criteria, equilibrium constant and relation with ΔG°.

Unit 5: Solutions

Concentration terms (molarity, molality, mole fraction, percentage), Raoult’s law, ideal and non-ideal solutions, colligative properties, abnormal molar mass, van’t Hoff factor.

Unit 6: Equilibrium

Physical and chemical equilibrium, equilibrium constants (Kp, Kc), Le Chatelier’s principle, ionic equilibrium, acids and bases (Arrhenius, Bronsted-Lowry, Lewis), pH scale, buffer solutions, solubility product, hydrolysis of salts.

Unit 7: Redox Reactions and Electrochemistry

Oxidation-reduction concepts, oxidation number, balancing redox reactions, electrolytic and galvanic cells, electrode potential, Nernst equation, relation between cell potential and Gibbs energy, conductance, Kohlrausch’s law, fuel cells, dry cell, lead accumulator.

Unit 8: Chemical Kinetics

Rate of reaction, factors affecting rate, order and molecularity, rate law, integrated rate equations (zero and first order), half-life, Arrhenius equation, activation energy, collision theory (basic idea).

Inorganic Chemistry

Unit 9: Classification of Elements and Periodicity

Modern periodic law, periodic table blocks (s, p, d, f), periodic trends (atomic radius, ionization enthalpy, electron gain enthalpy, valency, oxidation states).

Unit 10: p-Block Elements

Group 13–18 elements, electronic configuration, general trends, unique behaviour of first element in each group.

Unit 11: d- and f-Block Elements

Transition elements (properties, oxidation states, catalytic behaviour, complex formation), lanthanoids and actinoids (electronic configuration, oxidation states, lanthanoid contraction), preparation and uses of KMnO₄ and K₂Cr₂O₇.

Organic Chemistry

Unit 12: Coordination Compounds

Werner’s theory, ligands, coordination number, nomenclature, isomerism, bonding theories (VBT and basic CFT), colour and magnetic properties, importance in biological systems and metallurgy.

Unit 13: Purification and Characterisation of Organic Compounds

Crystallization, sublimation, distillation, chromatography, qualitative detection of N, S, P, halogens, quantitative analysis (C, H, N, halogens, S, P), empirical and molecular formula calculations.

Unit 14: Some Basic Principles of Organic Chemistry

Tetravalency of carbon, hybridization, classification, isomerism, IUPAC nomenclature, reaction intermediates (carbocation, carbanion, free radical), electrophiles and nucleophiles, inductive effect, resonance, hyperconjugation, substitution, addition, elimination and rearrangement reactions.

Unit 15: Hydrocarbons

Alkanes (conformations, halogenation), alkenes (electrophilic addition, Markovnikov and peroxide effect, ozonolysis), alkynes (acidic nature, addition reactions), aromatic hydrocarbons (benzene structure, electrophilic substitution, Friedel-Crafts reactions).

Unit 16: Organic Compounds Containing Halogens

Preparation, properties, substitution mechanisms, environmental effects of chloroform, iodoform, freons, DDT.

Unit 17: Organic Compounds Containing Oxygen

Alcohols, phenols, ethers, aldehydes, ketones and carboxylic acids — preparation, properties, mechanisms, reactions (Aldol, Cannizzaro, Haloform), acidity, dehydration, oxidation and reduction reactions.

Unit 18: Organic Compounds Containing Nitrogen

Amines (classification, structure, basic character), diazonium salts and their importance in synthesis.

Unit 19: Biomolecules

Carbohydrates (glucose, fructose, sucrose, lactose, maltose), proteins (structure levels, enzymes, denaturation), vitamins, nucleic acids (DNA & RNA), hormones (basic idea).

Unit 20: Principles Related to Practical Chemistry

Detection of extra elements and functional groups, preparation of inorganic (Mohr’s salt, potash alum) and organic compounds (acetanilide, iodoform, etc.), titration principles, qualitative salt analysis (common cations and anions), enthalpy experiments, colloids preparation, kinetic study of iodide–hydrogen peroxide reaction.

JEE Main 2026 Paper 2A (BArch) Mathematics Syllabus

Unit 

Topics

Unit 1: Sets, Relations and Functions

Sets and their representation; Union, intersection and complement of sets their algebraic properties; Power set; Relations, type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions.

Unit 2: Complex Numbers and Quadratic Equations

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, Quadratic equations in real and complex number systems and their solutions; Relations between roots and coefficients, nature of roots, the formation of quadratic equations with given roots.

Unit 3: Matrices and Determinants

Matrices, algebra of matrices, type of matrices, determinants and matrices of order two and three, evaluation of determinants, area of triangles usingdeterminants; Adjoint and inverse of a square matrix; Test of consistency andsolution of simultaneous linear equations in two or three variables using matrices.

Unit 4: Permutations and Combinations

The fundamental principle of counting, permutations and combinations; Meaningof P(n, r) and C(n, r). Simple applications.

Unit 5: Binomial Theorem and its Simple Applications

Binomial theorem for a positive integral index, general term and middle term and simple applications.

Unit 6: Sequence and Series 

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M.

Unit 7: Limit, Continuity and Differentiability

Real–valued functions, algebra of functions; polynomial, rational, trigonometric, logarithmic and exponential functions; inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite andimplicit functions; derivatives of order upto two, Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable.

Unit 8: Integral Calculus

Integral as an anti-derivative, Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type

The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves by simple curves in standard forms.

Unit 9: Differential Equations

Ordinary differential equations, their order and degree, the solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type

Unit 10: Co-Ordinate Geometry

Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the co-ordinate axis.

Straight line: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point from a line, and co-ordinates of the centroid, orthocentre and circumcentre of a triangle.

Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre, the equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms.

Unit 11: Three Dimensional Geometry

Coordinates of a point in space, the distance between two points, the section formula, direction ratios and direction cosines and the angle between two intersecting lines. Equation of a line; Skew lines, the shortest distance between them and its equation

Unit 12: Vector Algebra

Vectors and scalars, the addition of vectors, components of a vector in twodimensions and three-dimensional spaces, scalar and vector products.

Unit 13: Statistics and Probability

Measures of dispersion; calculation of mean, median, and mode of grouped and ungrouped data; calculation of standard deviation, variance, and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Bayes' theorem, distribution of a random variable.

Unit 14: Trigonometry

Trigonometrical identities and trigonometrical functions, inverse trigonometrical functions their properties.

Unit

Topics

Unit 1: Awareness and Reasoning Ability

Objects, Texture related to Architecture and Build-environment, Visualising three-dimensional objects from two-dimensional drawings. Visualizing. Different sides of three- dimensional objects. Analytical Reasoning Mental Ability (Visual, Numerical and Verbal)

Unit 2: Three-Dimensional Perception 

Understanding and appreciation of scale and proportions ofobjects, building forms and elements, colour, texture, harmony and contrast Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms in both 2D and 3D union, subtraction rotation, development of surfaces and volumes, Generation of plans, elevations and views of objects, and creation of two-dimensional and three-dimensional compositions using given shapes and forms.

JEE Main 2026 Paper 1 (BE/BTech) Mathematics Syllabus

Unit 

Topics

Unit 1: Sets, Relations and Functions

Sets and their representation; Union, intersection and complement of sets their algebraic properties; Power set; Relations, type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions.

Unit 2: Complex Numbers and Quadratic Equations

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, Quadratic equations in real and complex number systems and their solutions; Relations between roots and coefficients, nature of roots, the formation of quadratic equations with given roots.

Unit 3: Matrices and Determinants

Matrices, algebra of matrices, type of matrices, determinants and matrices of order two and three, evaluation of determinants, area of triangles usingdeterminants; Adjoint and inverse of a square matrix; Test of consistency andsolution of simultaneous linear equations in two or three variables using matrices.

Unit 4: Permutations and Combinations

The fundamental principle of counting, permutations and combinations; Meaningof P(n, r) and C(n, r). Simple applications.

Unit 5: Binomial Theorem and its Simple Applications

Binomial theorem for a positive integral index, general term and middle term and simple applications.

Unit 6: Sequence and Series 

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M.

Unit 7: Limit, Continuity and Differentiability

Real–valued functions, algebra of functions; polynomial, rational, trigonometric, logarithmic and exponential functions; inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite andimplicit functions; derivatives of order upto two, Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable.

Unit 8: Integral Calculus

Integral as an anti-derivative, Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type

The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves by simple curves in standard forms.

Unit 9: Differential Equations

Ordinary differential equations, their order and degree, the solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type

Unit 10: Co-Ordinate Geometry

Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus and its equation, the slope of a line, parallel and perpendicular lines, intercepts of a line on the co-ordinate axis.

Straight line: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point from a line, and co-ordinates of the centroid, orthocentre and circumcentre of a triangle.

Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre, the equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms.

Unit 11: Three Dimensional Geometry

Coordinates of a point in space, the distance between two points, the section formula, direction ratios and direction cosines and the angle between two intersecting lines. Equation of a line; Skew lines, the shortest distance between them and its equation

Unit 12: Vector Algebra

Vectors and scalars, the addition of vectors, components of a vector in twodimensions and three-dimensional spaces, scalar and vector products.

Unit 13: Statistics and Probability

Measures of dispersion; calculation of mean, median, and mode of grouped and ungrouped data; calculation of standard deviation, variance, and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Bayes' theorem, distribution of a random variable.

Unit 14: Trigonometry

Trigonometrical identities and trigonometrical functions, inverse trigonometrical functions their properties.

Unit

Topics

Unit 1

Awareness of persons, Buildings, Materials, Objects and Textures related to Architecture andBuild-environment, Visualizing three-dimensional objects from two-dimensional drawings. Visualizing different sides of three-dimensional objects, Analytical Reasoning Mental Ability (Visual, Numerical and Verbal)

Unit 2

Three dimensional- perception: Understanding and appreciation of scale and proportions of objects, building forms and elements, colour, texture, harmony and contrast Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms, both 2D and 3D union, subtraction, rotation, development of surfaces and volumes, Generation of plans, elevations and 3D views of objects; and creating two-dimensional and three-dimensional compositions using given shapes and forms.