Class 11 · Mathematics (041)

Sets, subsets, power sets, universal set, Venn diagrams, operations on sets.

Cartesian products, relations, functions, domain, range, real-valued functions.

Angles, radian measure, trigonometric functions, identities, and equations.

Complex numbers, Argand plane, modulus, conjugate, and complex roots of quadratics.

Solve linear inequalities in one variable algebraically and represent solutions on the number line.

Fundamental counting principle, permutations, combinations, and their applications.

$(a + b)^n$ expansion for positive integer $n$ using binomial coefficients.

Arithmetic and geometric progressions, sum to $n$ terms, arithmetic and geometric means.

Slope, forms of a line, distance from a point to a line, angle between two lines.

Circle, parabola, ellipse, hyperbola — standard forms and key properties.

Coordinates in 3D, distance between two points, and section formula.

Intuitive idea of limits, algebra of limits, and derivative from first principles.

Measures of dispersion: range, mean deviation, variance, and standard deviation.

Axiomatic probability, sample spaces, and probability of events.