# CBSE – Syllabus Grade 12

May 11, 2021 2024-06-26 11:43## CBSE – Syllabus Grade 12

##### CBSE SYLLABUS 2024-25

## Senior School - Grade 12

Global Public School

**Text Book – Flamingo(Prose) **The Last Lesson, Lost Spring, Deep Water, The Rattrap, Indigo, Poets and Pancakes, The Interview, Going Places

**(Poetry)**

My Mother at Sixty-Six, Keeping Quiet, A Thing of Beauty, A Roadside Stand, Aunt Jennifer’s Tigers

**Text Book -Vistas**

The Third Level, The Tiger King, Journey to the End of the Earth, The Enemy, On the Face of It Memories of Childhood, The Cutting of My Long Hair, We Too are Human Beings

**Reading Comprehension**

Reading Comprehension through Unseen Passage

1. One unseen passage to assess comprehension, interpretation, analysis and inference.

2. One unseen case-based factual passage with verbal/visual inputs like statistical data, charts etc. to assess comprehension, interpretation, analysis, inference and evaluation.

**Creative Writing Skills**

1. Notice Writing

2. Formal/Informal Invitation and Reply

3. Letters based on verbal/visual input:Letter types include application for a job with bio data or resume. Letters to the editor (giving suggestions or opinion on issues of public interest).

4. Article/ Report Writing

**Internal Assessment**

Assessment of Listening and Speaking Skills (ASL) & Project Work

**NCERT Mathematics Part I & II****Unit-I: Relations and Functions**

1. Relations and Functions

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

functions.

2. Inverse Trigonometric Functions

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions**Unit-II: Algebra**

1. Matrices Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operations on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). 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), minors, co-factors 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.**Unit-III: Calculus**

1. Continuity and Differentiability

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

𝑙𝑖𝑘𝑒 sin−1 𝑥 , cos−1 𝑥 and tan−1 𝑥, derivative of implicit functions. Concept of exponential and logarithmic functions.

Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.

2. Applications of Derivatives

Applications of derivatives: rate of change of quantities, increasing/decreasing functions, 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 reallife situations).

3. Integrals

Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.

4. Applications of the Integrals

Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)

5. Differential Equations

Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

dy/dx + py = q, where p and q are functions of x or constants.

d𝑥/d𝑦 + px = q, where p and q are functions of y or constants.**Unit-IV: Vectors and Three-Dimensional Geometry**

1. Vectors Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. 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. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.

2. Three – dimensional Geometry Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.**Unit-V: Linear Programming**

1. Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).**Unit-VI: Probability**

1. Probability Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.

**Physics, Class XII, Part -I and II, Published by NCERT**

**Unit I-Electrostatics-Chapter–1** Electric Charges and Fields-Electric charges, 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 uniform electricfield.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 uniformly charged thin spherical shell (field inside and outside).**Chapter–2** Electrostatic potential and Capacitance :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 polarization, capacitors and capacitance, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor (no derivation, formulae only).**Unit II – Current Electricity** **-Chapter 3** Current electricity -Electric current, flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current; Ohm’s law, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity and conductivity, 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 rules, Wheatstone bridge**Unit III-Magnetic Effects of Current and Magnetism -Chapter 4** Moving charges and Magnetism Concept of magnetic field, Oersted’s experiment.Biot – Savart law and its application to current carrying circular loop.Ampere’s law and its applications to infinitely long straight wire. Straight solenoid (only qualitative treatment), force on a moving charge in uniform magnetic and electric fields.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; Current loop as a magnetic dipole and its magnetic dipole moment, moving coil galvanometer- its current sensitivity and conversion to ammeter and voltmeter.**Chapter 5** Magnetism and matter -Bar magnet, bar magnet as an equivalent solenoid (qualitative treatment only), magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis (qualitative treatment only), torque on a magnetic dipole (bar magnet) in a uniform magnetic field (qualitative treatment only), magnetic field lines.Magnetic properties of materials- Para-, dia- and ferro -magnetic substances with examples, Magnetization of materials, effect of temperature on magnetic properties.**Unit IV: Electromagnetic Induction and Alternating Currents -Chapter 6-**Electromagnetic induction-Electromagnetic induction; Faraday’s laws, induced EMF and current;Lenz’s Law, Self and mutual induction **Chapter 7** Alternating Current-Alternating currents, peak and RMS value of alternating current/voltage; reactance and impedance; LCR series circuit (phasors only), resonance, power in AC circuits, power factor, wattless current. AC generator, Transformer**Unit V: Electromagnetic waves-Chapter 8** Electromagnetic waves -Basic idea of displacement current, Electromagnetic waves, their characteristics, their transverse nature (qualitative idea only).Electromagnetic spectrum (radio waves, microwaves, infrared, visible,ultraviolet, X-rays, gamma rays) including elementary facts about their uses.

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