Topic Trends

Properties of Definite Integrals (King's Rule etc.)

Class 12 · 45 min

Area Under / Between Curves

Class 12 · 120 min

Area Between Two Curves

Class 12 · 75 min

Definite Integration as Limit of Sum

Class 12 · 60 min

Leibniz Rule — Differentiation under integral sign

Class 12 · 60 min

Even/Odd Function Integration

Class 12 · 40 min

Area Under Curves — Simple regions

Class 12 · 75 min

Periodic Function Integration

Class 12 · 60 min

King's Rule — ∫f(a+b-x) = ∫f(x)

Class 12 · 60 min

Properties of Definite Integrals — All 9 properties

Class 12 · 75 min

3D Geometry — Line and Plane Equations

Class 12 · 90 min

Shortest Distance + Skew Lines

Class 12 · 75 min

Shortest Distance Between Skew Lines

Class 12 · 60 min

Family of Planes

Class 12 · 60 min

Equation of Plane — Normal form, intercept form

Class 12 · 50 min

Equation of Line — Symmetric, parametric form

Class 12 · 75 min

Angle Between Line and Plane

Class 12 · 50 min

Distance from Point to Plane

Class 12 · 40 min

Direction Cosines & Direction Ratios

Class 12 · 60 min

Angle Between Two Planes

Class 12 · 40 min

Image of Point in Plane

Class 12 · 60 min

Maxima & Minima — First + Second Derivative Test

Class 12 · 100 min

Tangents & Normals to Curves

Class 12 · 75 min

Monotonicity — Increasing/decreasing functions

Class 12 · 75 min

Maxima & Minima — First and second derivative test

Class 12 · 75 min

Tangents & Normals — Slope, equations

Class 12 · 75 min

Global vs Local Extrema — Closed interval method

Class 12 · 60 min

Approximation using Differentials

Class 12 · 45 min

Rate of Change

Class 12 · 75 min

Rolle's & LMVT — Mean Value Theorems

Class 12 · 75 min

Linear Differential Equations (IF Method)

Class 12 · 75 min

Order & Degree

Class 12 · 45 min

Applications — Growth/decay, orthogonal trajectories

Class 12 · 75 min

Exact Differential Equations

Class 12 · 60 min

Bernoulli Differential Equations

Class 12 · 60 min

Linear Differential Equations — IF method

Class 12 · 75 min

Homogeneous Differential Equations

Class 12 · 75 min

Variable Separable

Class 12 · 60 min

Arithmetic Progression — nth term + Sum

Class 11 · 75 min

Geometric Progression + Infinite GP

Class 11 · 80 min

Summation of Series — Telescoping + Σr Σr² Σr³

Class 11 · 90 min

Telescoping Series

Class 11 · 60 min

AM-GM Inequality — Applications

Class 11 · 75 min

AP — nth term, sum, AM

Class 11 · 75 min

HP — nth term, HM, AM-GM-HM inequality

Class 11 · 75 min

GP — nth term, sum, infinite GP, GM

Class 11 · 60 min

Summation — Natural numbers, Σr², Σr³

Class 11 · 60 min

AGP — Arithmetico-Geometric Progression

Class 11 · 60 min

Probability — Bayes' Theorem + Distributions

Class 12 · 90 min

Independent Events

Class 12 · 50 min

Bayes' Theorem

Class 12 · 75 min

Classical Probability — Equally likely outcomes

Class 12 · 75 min

Conditional Probability — P(A

Class 12 · 60 min

Binomial Distribution — Mean, variance

Class 12 · 40 min

Random Variable & Probability Distribution

Class 12 · 75 min

Poisson Distribution

Class 12 · 50 min

Limits — Standard Forms + L'Hopital

Class 12 · 75 min

L'Hopital's Rule — 0/0 and ∞/∞ forms

Class 12 · 60 min

Standard Limits — sinx/x, (eˣ-1)/x, (aˣ-1)/x, (1+1/x)ˣ

Class 12 · 75 min

Squeeze Theorem

Class 12 · 60 min

Continuity — Definition, types of discontinuity

Class 12 · 60 min

Intermediate Value Theorem

Class 12 · 45 min

Limits by Expansion — Taylor series use

Class 12 · 60 min

Circles — Tangent Chord of Contact

Class 12 · 60 min

Vectors — Dot Cross Triple Product

Class 12 · 90 min

Position Vector — Midpoint, section formula

Class 12 · 60 min

Scalar Triple Product — Volume of parallelepiped

Class 12 · 50 min

Vector Triple Product

Class 12 · 60 min

Cross Product — Area, perpendicular vector

Class 12 · 60 min

Dot Product — Angle between vectors, projection

Class 12 · 60 min

Unit Vector — Direction cosines, ratios

Class 12 · 60 min

Permutation & Combination — Distribution Problems

Class 11 · 75 min

Combinations — nCr, properties

Class 11 · 75 min

Distribution Problems — Identical/distinct objects into boxes

Class 11 · 75 min

Selection Problems — Geometry problems (lines, triangles)

Class 11 · 60 min

Derangement

Class 11 · 45 min

Fundamental Principle — Counting techniques

Class 11 · 60 min

Permutations — nPr, with repetition, circular

Class 11 · 75 min

Integration by Parts + Partial Fractions

Class 12 · 90 min

Binomial Theorem — General Term + Coefficient

Class 11 · 60 min

Greatest Term

Class 11 · 60 min

Multinomial Theorem

Class 11 · 60 min

Coefficient of xⁿ — Finding specific coefficients

Class 11 · 75 min

Binomial Coefficients — Properties, sum of coefficients

Class 11 · 60 min

General Term — Tr+1 in (a+b)ⁿ

Class 11 · 50 min

Middle Term — Even/odd n

Class 11 · 45 min

System of Linear Equations — Cramer's Rule

Class 12 · 60 min

Complex Numbers — Locus + Rotation

Class 11 · 80 min

Parabola — Tangent Normal Chord

Class 12 · 80 min

Trigonometric Equations — General Solutions

Class 11 · 75 min

Sets Functions — Domain Range Composition

Class 11 · 75 min

Quadratic Equations — Nature of Roots + Graph

Class 11 · 75 min

Statistics — Variance and Standard Deviation

Class 11 · 60 min

Domain & Range — Finding for various functions

Class 11 · 75 min

Types of Functions — One-one, onto, bijective

Class 11 · 90 min

Even & Odd Functions

Class 11 · 45 min

Relations — Equivalence relation, types

Class 11 · 75 min

Graphs — Standard function transformations

Class 11 · 75 min

Periodic Functions — Period, fundamental period

Class 11 · 75 min

Composition & Inverse Functions

Class 11 · 90 min