Formula Sheets

Chapter 1

Logarithm · Inequalities and modulus

10 formulas Flashcards

Chapter 2

Roots and coefficients · Nature of roots · Common roots · Location of roots · Sign of a quadratic

15 formulas Flashcards

Chapter 3

Arithmetic progression (AP) · Geometric progression (GP) · Harmonic progression and means · Special series

13 formulas Flashcards

Chapter 4

Basics, conjugate and modulus · Polar form and argument · De Moivre's theorem and roots of unity · Geometry and rotation

14 formulas Flashcards

Chapter 5

Counting basics · Circular permutations · Selections and distribution · Derangements

12 formulas Flashcards

Chapter 6

Expansion and general term · Binomial coefficients · Any index

11 formulas Flashcards

Chapter 8

Matrix basics · Determinants · Adjoint and inverse · Systems of linear equations

13 formulas Flashcards

Chapter 9

Basic identities · Compound angles · Multiple and sub-multiple angles · Sum–product formulas · Standard results · Conditional identities (A + B + C = π) · Maximum and minimum

21 formulas Flashcards

Chapter 10

General solutions · a cos θ + b sin θ = c · Principal values and inequalities

7 formulas Flashcards

Chapter 11

Domains and principal ranges · Properties · Sum and difference

11 formulas Flashcards

Chapter 12

Sine, cosine and projection rules · Half angles and area · Circles of a triangle · m–n rule · Heights and distances

13 formulas Flashcards

Chapter 13

Sets · Relations

9 formulas Flashcards

Chapter 14

Types of functions · Special functions · Even, odd and periodic · Composite and inverse

9 formulas Flashcards

Chapter 15

Standard limits · 1^∞ form · Expansions and L'Hospital's rule

9 formulas Flashcards

Chapter 16

Continuity · Differentiability

6 formulas Flashcards

Chapter 17

Standard derivatives · Rules · Higher derivatives

9 formulas Flashcards

Chapter 18

Tangent and normal · Rate of change and approximation · Monotonicity · Maxima and minima · Mean value theorems

10 formulas Flashcards

Chapter 19

Standard integrals · Special integrals · Methods

14 formulas Flashcards

Chapter 20

Properties · Newton–Leibniz rule · Limit as a sum · Standard results

10 formulas Flashcards

Chapter 21

Area bounded by curves

3 formulas Flashcards

Chapter 22

Order, degree and formation · Variable separable and homogeneous · Linear differential equations · Applications

9 formulas Flashcards

Chapter 23

Distance, section and locus · Centres of a triangle · Equations of a line · Angle, distance and position · Family of lines and pair of lines

19 formulas Flashcards

Chapter 24

Equations · Point, line and power · Tangent, normal and chord · Two circles

17 formulas Flashcards

Chapter 25

Standard parabola y² = 4ax · Tangent, normal and chord

9 formulas Flashcards

Chapter 26

Standard ellipse x²/a² + y²/b² = 1 (a > b) · Tangent, normal and chord

7 formulas Flashcards

Chapter 27

Standard hyperbola x²/a² − y²/b² = 1 · Tangent, normal and chord

8 formulas Flashcards

Chapter 28

Vectors, addition and section formula · Scalar (dot) product · Vector (cross) product · Triple products

12 formulas Flashcards

Chapter 29

Direction cosines and ratios · Lines in space · Planes · Line and plane

15 formulas Flashcards

Chapter 30

Classical probability · Conditional probability and independence · Total probability and Bayes' theorem · Random variables and binomial distribution

9 formulas Flashcards

Chapter 31

Mean, median and mode · Mean deviation · Variance and standard deviation

8 formulas Flashcards

Chapter 32

Statements and connectives

3 formulas Flashcards

Chapter 33

Principle of mathematical induction

1 formulas Flashcards

Chapter 34

Linear programming problems

1 formulas Flashcards