27 cardsWBJEE

WBJEE: Mathematics and Physics Formulas

Flashcards on algebra, calculus, coordinate geometry and physics formulae for WBJEE. Original study material.

Free account needed to save, copy or download. We bring you back here.

1 / 27

0 known

TermClick or press Space to flip

Determinant of a 2×2 matrix

GetMyMockTestQuestion side

Full list

Terms in this deck (27)

Determinant of a 2×2 matrix

a d - b c

Eigenvalues of a triangular matrix

The diagonal entries.

Sum and product of roots

α + β = - \frac{b}{a}

α β = \frac{c}{a}

Binomial general term

T_{r + 1} = (r n) a^{n - r} b^{r}

Distance from a point to a line

\frac{∣ a x _{0} + b y _{0} + c ∣}{a ^{2} + b ^{2}}

Focus of

y^{2} = 4 a x

(a, 0)

Eccentricity of an ellipse

\frac{a ^{2} - b ^{2}}{a}

Eccentricity of a hyperbola

\frac{a ^{2} + b ^{2}}{a}

Derivative of

x^{n}

n x^{n - 1}

Integral of

x^{n}

\frac{x ^{n + 1}}{n + 1} + C

Volume of revolution about the x-axis

π \int y^{2} d x

Cross product magnitude

∣ a ∣∣ b ∣ sin θ

Dot product

∣ a ∣∣ b ∣ cos θ

Permutations

P (n, r) = \frac{n !}{( n - r )!}

Kinetic energy

\frac{1}{2} m v^{2}

Work done by a force

F s cos θ

Pressure due to a liquid column

ρ g h

Wave speed

v = f λ

Series resistors

R = R_{1} + R_{2}

Parallel resistors

\frac{1}{R} = \frac{1}{R _{1}} + \frac{1}{R _{2}}

Coulomb's law

F = \frac{k q _{1} q _{2}}{r ^{2}}

Force on a wire in a magnetic field

B I L sin θ

Transformer

\frac{V _{s}}{V _{p}} = \frac{N _{s}}{N _{p}}

Heat energy

Q = m c Δ T

Critical angle

sin C = \frac{1}{n}

Lens formula

\frac{1}{f} = \frac{1}{u} + \frac{1}{v}

Radioactive decay

N = N_{0} (1/2)^{t / T}

In India, WBJEE is part of: Engineering entrance.

Students on the same pathway also practise: