Sets
Types of sets, Venn diagrams and operations.
Mathematics · Class 11
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Relations and Functions
Cartesian products, relations and functions.
Trigonometric Functions
Radian measure and trigonometric identities.
Complex Numbers
Algebra of complex numbers and the Argand plane.
Permutations and Combinations
Counting principles, nPr and nCr.
Binomial Theorem
Expansion of (a + b)ⁿ for positive integers n.
Sequences and Series
Arithmetic and geometric progressions.
Straight Lines
Slope and various forms of a line's equation.
Limits and Derivatives
Intuitive limits and first-principle derivatives.
Conic Sections
Circles, parabolas, ellipses and hyperbolas in coordinate form.
Linear Inequalities
Solve and represent one-variable and two-variable inequalities with correct boundary logic.
Introduction to Three Dimensional Geometry
Locate points in space and calculate distances and internal division coordinates.
Statistics
Measure dispersion around a central value using deviations, variance, and standard deviation.
Probability
Use sample spaces, events, set operations, and probability axioms to model chance.