Class 11 – Mathematics


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CLASS  11 – MATHEMATICS with following units explained in details :Unit I. Sets and Functions, Unit II. Algebra, Unit III. Coordinate Geometry, Unit IV. Calculus, Unit V. Mathematical Reasoning, Unit VI. Statistics and Probability

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Unit I. Sets and Functions

1. Sets 

Sets and their Representation, Operations on Sets, Application of Sets

2. Relations and Functions

Relations, Functions, Product and Quotient Rules

3. Trigonometric Functions

Trigonometric Functions of Sum and Difference, Trigonometric Functions of Multiples and Submultiples, Conditional Identities, Trigonometric Equations

Unit II. Algebra 

1. Principle of Mathematical Induction 

Mathematical Induction

2. Complex Numbers and Quadratic Equations

Algebra of Complex Numbers, Applications of Complex Numbers in Geometry,   Theory of Equations, Roots of Quadratic Equations, Equations Reducible to Quadratic Equations, Quadratic Functions

3. Linear Inequalities 

Algebraic Solution of System of Linear Inequations in One Variable, Graphical Solution of System of Linear Inequations in Two Variables

4.Permutations and Combinations 

Fundamental Principal of Counting, Permutations, Combinations

5.Binomial Theorem 

Binomial Theorem for positive integral index, Binomial Coefficients, Binomial Theorem for any Index

6.Sequence and Series 

General term of A.P, Sum of n terms of A P, General term of G.P, Sum of n terms of G P, Arithmetic Geometric Progression, Special sequences
Unit III. Coordinate Geometry

1. Straight Lines

Slope of a Line, Equation of Line in Slope intercept form, Equation of Line in Symmetric, Parametric and Intercept forms, Equation of a Line in Normal form, Intersection of lines, Angles between two straight lines, Family of lines, Angle between Two Lines

2.Conic Sections 

Equation of a Circle in Standard Form, Parametric Form of Equation of Circle, Equation of tangent, Family of circles, Equations of Parabola, Equation of Ellipse in Standard form, General Equation of Ellipse, Equations of Hyperbola 

3. Introduction to Three-dimensional Geometry 

Distance formula, Section formula, Distance formula and Section Formula

Unit IV. Calculus

1.Limits and Derivatives 

Limits of Algebraic Functions, Limits of Trigonometric Functions, Derivative at a Point
Unit V. Mathematical Reasoning 
1.Mathematical Reasoning

Mathematical Reasoning

Unit VI. Statistics and Probability 


Mean, Median, Partition Values, Mode, Mean Deviation, Standard Deviation 


Random experiments, Addition Rule of probability


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