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Deleted
Syllabus
CBSE Board
DELETED PORTION
MATHEMATICS - 041
CLASS XI
UNIT/ CHAPTER SYLLABUS REDUCED
Unit- I: Sets and Functions
1.Sets  Difference of sets.
 Complement of a set. Properties of Complement
2.Relations & Functions  (up to RXRXR ).
 Sum, Difference, product and quotients of functions
3. Trigonometric Functions  General Solutions of trigonometric equations of the
type siny=sina, cosy=cosa and tany= tana.
Unit II: Algebra
1.Principle of Mathematical Induction  Delete full chapter
2.Complex Numbers and Quadratic
Equations
 Polar representation of complex numbers.
 Square root of a complex number.
3.Linear Inequalities
Nil
4. Permutations and Combinations  Derivationof formulae for n
Prandn
Cr
5.Binomial theorem  Delete full Chapter
6. Sequence and Series 
Formulae for the following special sums
∑ 𝑘,∑k2
,∑ 𝑘3
.
Unit III: Coordinate geometry
1.Straight Lines  Shifting of origin.
 Equation of family of lines passing through the point
of intersection of two lines.
2 Conic sections  a point, a straight line and a pair of intersecting lines
as a degenerated case of a conic section.
3.Introduction to Three-dimensional
Geometry
Nil
Unit-IV : Calculus
1.Limits and Derivatives Nil
Unit-V : Mathematical Reasoning
1.Mathematical Reasoning  Delete full chapter
Unit-VI: Statistics and Probability
1. Statistics  Analysis of frequency distributions with equal means
but different variances.
2. Probability  Axiomatic (set theoretic) probability, connections
with other theories of earlier classes
CLASS XII
UNIT/CHAPTER SYLLABUS REDUCED
Unit1: 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
Unit2: 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-III: 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
∫ √𝑎x2 + 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 mathematical formulation of L.P. problems
(unbounded)
Unit-VI: Probability
1. Probability mean and variance of random variable. Binomial
probability distribution.
CBSE Board
Preparation
Sample Papers
Syllabus
Previous Year Question Papers
Notes
Mock Test
Study Material
Free
NCERT Books
NCERT Solutions
Practice Papers
Question Bank
More Resources
#1
#3
#2
#4
#5

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CBSE Deleted Syllabus Class 11, 12 Mathematics 2020-21

  • 2. DELETED PORTION MATHEMATICS - 041 CLASS XI UNIT/ CHAPTER SYLLABUS REDUCED Unit- I: Sets and Functions 1.Sets  Difference of sets.  Complement of a set. Properties of Complement 2.Relations & Functions  (up to RXRXR ).  Sum, Difference, product and quotients of functions 3. Trigonometric Functions  General Solutions of trigonometric equations of the type siny=sina, cosy=cosa and tany= tana. Unit II: Algebra 1.Principle of Mathematical Induction  Delete full chapter 2.Complex Numbers and Quadratic Equations  Polar representation of complex numbers.  Square root of a complex number. 3.Linear Inequalities Nil 4. Permutations and Combinations  Derivationof formulae for n Prandn Cr 5.Binomial theorem  Delete full Chapter 6. Sequence and Series  Formulae for the following special sums ∑ 𝑘,∑k2 ,∑ 𝑘3 . Unit III: Coordinate geometry 1.Straight Lines  Shifting of origin.  Equation of family of lines passing through the point of intersection of two lines. 2 Conic sections  a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. 3.Introduction to Three-dimensional Geometry Nil Unit-IV : Calculus 1.Limits and Derivatives Nil Unit-V : Mathematical Reasoning 1.Mathematical Reasoning  Delete full chapter Unit-VI: Statistics and Probability
  • 3. 1. Statistics  Analysis of frequency distributions with equal means but different variances. 2. Probability  Axiomatic (set theoretic) probability, connections with other theories of earlier classes
  • 4. CLASS XII UNIT/CHAPTER SYLLABUS REDUCED Unit1: 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 Unit2: 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-III: 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 ∫ √𝑎x2 + 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
  • 5. Unit-V: Linear Programming 1. Linear Programming mathematical formulation of L.P. problems (unbounded) Unit-VI: Probability 1. Probability mean and variance of random variable. Binomial probability distribution.
  • 6. CBSE Board Preparation Sample Papers Syllabus Previous Year Question Papers Notes Mock Test
  • 7. Study Material Free NCERT Books NCERT Solutions Practice Papers Question Bank More Resources #1 #3 #2 #4 #5