Mathematics for JEE

Set operations, types of relations, functions, domain, range, composition and inverse functions for JEE.

Algebra of complex numbers, Argand plane, De Moivre's theorem, roots of unity and geometry of complex numbers for JEE.

Trigonometric identities, equations, inverse trig functions, properties of triangles and height & distance for JEE.

Binomial expansion, general term, middle term, greatest coefficient and divisibility problems for JEE.

AP, GP, HP, AGP, telescoping series, sum to n terms and mathematical induction for JEE.

Fundamental counting, permutations, combinations, derangements and distribution problems for JEE.

Evaluation of limits, L'Hôpital's rule, continuity, differentiability and intermediate value theorem for JEE.

Order and degree, variable separable, homogeneous, linear first-order and exact differential equations for JEE.

Indefinite and definite integrals, integration techniques, properties of definite integrals and area under curves for JEE.

Straight lines, circles, parabola, ellipse and hyperbola for JEE Main and Advanced.

Equation of circle, tangent, normal, chord of contact, radical axis and family of circles for JEE.

Direction cosines, lines in 3D, planes, shortest distance between lines and angle between planes for JEE.

Vector algebra, scalar and vector products, triple products and applications of vectors for JEE.

Mean, variance, standard deviation, conditional probability, Bayes' theorem and random variables for JEE.

Matrix operations, determinants, adjoint, inverse, system of linear equations and Cramer's rule for JEE.

Rate of change, tangents and normals, maxima and minima, monotonicity and Rolle's & LMVT for JEE.