## CBSE Class 11 Maths Syllabus 2020-21| Check Latest Exam Pattern

CBSE has released revised Class 11 Maths Syllabus 2020-21. This year, the board has decided to reduce the syllabus by 30 percent. The annual board examination will be of 80 marks, while internal assessment (Periodic Tests and Mathematics Activities) will be of 20 Marks.

No. | Units | Marks |

I | Sets and Functions | 23 |

II | Algebra | 30 |

III | Coordinate Geometry | 10 |

IV | Calculus | 07 |

V | Statistics and Probability | 10 |

- | Total | 80 |

- | Internal Assessment | 20 |

In Board examination, the listed topics will come. The written examination will be of 80 marks. No chapter/unit-wise weightage is given. There will be no overall choice in the question paper. However, 33% internal choices will be given in all the sections

**Unit-I: Sets and Functions**

**1. Sets**

Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams.

Union and Intersection of sets.

**2. Relations & Functions**

**3. Trigonometric Functions**

Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x.

**Unit-II: Algebra**

**1. Complex Numbers and Quadratic Equations**

Need for complex numbers, especially√−1, to be motivated by inability to solve some of the quardratic equations. Algebraic properties of complex numbers. Argand plane. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.

**2. Linear Inequalities**

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical method of finding a solution of system of linear inequalities in two variables.

**3. Permutations and Combinations**

**4. Sequence and Series**

Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.

**Unit-III: Coordinate Geometry**

**1. Straight Lines**

Brief recall of two dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point -slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Distance of a point from a line.

**2. Conic Sections**

Sections of a cone: circles, ellipse, parabola, hyperbola. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

**3. Introduction to Three-dimensional Geometry**

Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

**Unit-IV: Calculus**

**1. Limits and Derivatives**

Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

**Unit-V: Statistics and Probability**

**1. Statistics**

**2. Probability**

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

**Internal Assessment**

Internal Assessment | 20 Marks |

Periodic Tests ( Best 2 out of 3 tests conducted) | 10 Marks |

Mathematics Activities | 10 Marks |

**Prescribed Books:**

1) Mathematics Textbook for Class XI, NCERT Publications

2) Mathematics Exemplar Problem for Class XI, Published by NCERT

3) Mathematics Lab Manual class XI, published by NCERT

**Download Class 11 Mathematics Syllabus 2020-21**