CBSE Reduced Syllabus for Classes 9 to 12 by up to 30% for Board Exams in 2021

UNIT/CHAPTER

CLASS 12 SYLLABUS REDUCED

Unit 1: Relations and Functions

1. Relations and Functions

• composite functions
• Inverse of a function

2. Inverse Trigonometric Functions

• Graphs of inverse trigonometric functions
• Elementary properties of inverse trigonometric functions

Unit 2: Algebra

1. Matrices

• Existence of non-zero matrices whose product is the
  zero matrix.
• Concept of elementary row and column operations.
• Proof of the uniqueness of inverse, if it exists.

2. Determinants

• Properties of determinants
• Consistency, inconsistency and number of solutions of
  system of linear equations by examples,

Unit-Ill: Calculus

1. Continuity and Differentiability

Rolle’s and Lagrange's Mean Value Theorems (without proof) and
their geometric interpretation.

2. Applications of Derivatives

Rate of change of bodies, use of derivatives in
approximation

3. Integrals

/ Vax2 + bx + c dx,

/ (ax + b)^ax2 + bx + c dx

□ Definite integrals as a limit of a sum

4. Applications of the Integrals

Area between any of the two above-said curves

5. Differential Equations

• Formation of differential equation whose general solution
  is given.
• Solutions of linear differential equation of the type:
  ^+px=q,where p and q are functions of y or constants.

Unit-IV: Vectors and Three-Dimensional Geometry

1. Vectors

Scalar triple product of vectors.

2. Three - dimensional Geometry

Angle between (i) two lines, (ii) two planes, (iii) a line and a plane

Unit-V: Linear Programming

1. Linear Programming

The mathematical formulation of L.P. problems (unbounded)

Unit-VI: Probability

1. Probability

Mean and variance of random variable. Binomial probability distribution.

CHAPTER

TOPICS REMOVED

UNIT l-NUMBER SYSTEMS

REAL NUMBERS

Euclid’s division lemma

UNIT ll-ALGEBRA

POLYNOMIALS

Statement and simple problems on division algorithm
for polynomials with real coefficients.

PAIR OF LINEAR EQUATIONS
IN TWO VARIABLES

Cross multiplication method

QUADRATIC EQUATIONS

Situational problems based on equations reducible to
quadratic equations

ARITHMETIC PROGRESSIONS

Application in solving daily life problems based on sum
to n terms

UNIT lll-COORDINATE GEOMETRY

COORDINATE GEOMETRY

Area of a triangle.

UNIT IV-GEOMETRY

TRIANGLES

• Proof of the following theorems are deleted
• The ratio of the areas of two similar triangles is equal to
  the ratio of the squares of their corresponding sides.
• In a triangle, if the square on one side is equal to sum
  of the squares on the other two sides, the angle
  opposite to the first side is a right angle.

CIRCLES

No deletion

CONSTRUCTIONS

Construction of a triangle similar to a given triangle.

UNIT V- TRIGONOMETRY

INTRODUCTION TO
TRIGONOMETRY

Motivate the ratios whichever are defined at 0° and 90°

TRIGONOMETRIC IDENTITIES

Trigonometric ratios of complementary angles.

HEIGHTS AND DISTANCES

No deletion

UNIT VI-MENSURATION

AREAS RELATED TO CIRCLES

Problems on central angle of 120°

SURFACE AREAS AND
VOLUMES

Frustum of a cone.

UNIT VI-STATISTICS & PROBABILITY

STATISTICS

• Step deviation Method for finding the mean
• Cumulative Frequency graph

PROBABILITY

No deletion