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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
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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