Chapter Name
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Topics / Sub-Topics
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Sets
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Sets and their Representations, Venn Diagrams, Operations on Sets, Union and Intersection of sets, etc.
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Relations & Functions
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Cartesian Product of Sets, Relations, Functions etc.
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Trigonometric Functions
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Trigonometric Functions, Angles, Trigonometric Equations
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Principle of Mathematical Induction
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Principle of Mathematical Induction, Motivation
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Complex Numbers and Quadratic Equations
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Complex Numbers and its Algebra, Modulus and Conjugate of Complex Number, Quadratic Equations, Argand Plane and Polar Representation
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Linear Inequalities
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Inequalities, Algebraic and Graphical Solutions of Linear Inequalities, Solution of System of Linear Inequalities
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Permutations and Combinations
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Fundamental Principle of Counting, Permutations, Combinations
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Binomial Theorem
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General Term, Binomial Theorem, Middle Term
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Sequence and Series
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Sequences, Series, AP, GP, Relationship Between A.M. and G.M.,
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Straight Lines
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General Equation of a Line, Slope of a Line, Distance of a Point From a Line
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Conic Sections
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Sections of a Cone, Circle, Parabola, Ellipse, Hyperbola
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Introduction to Three-dimensional Geometry
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Coordinate Axes and Coordinate Planes in
3-D Space, Distance between Two Points, Section Formula
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Limits and Derivatives
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Limits, Derivatives, Limits of Trigonometric Functions,
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Mathematical Reasoning
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Statements, New Statements from Old, Validating Statements, Special Words/Phrases
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Statistics
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Measures of Dispersion, Range, Mean Deviation, Variance and Standard Deviation, Analysis of Frequency Distributions
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Probability
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Random Experiments, Event, Axiomatic Approach to Probability
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