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SKU: ZDIVCDR036100.

Category: Higher Secondary School.

**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

**CLASS 11 – MATHEMATICS**

**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**** **

**1.Statistics**** **

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

**2.Probability**** **

Random experiments, Addition Rule of probability

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