English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

If sin (A − B) = sin A cos B − cos A sin B and cos (A − B) = cos A cos B + sin A sin B, find the values of sin 15° and cos 15°.

In ΔABC is a right triangle such that ∠C = 90° ∠A = 45°, BC = 7 units find ∠B, AB and AC

Solve the following quadratic equations by factorization:

(x − 4) (x + 2) = 0

Solve the following quadratic equations by factorization:

(2x + 3)(3x − 7) = 0

Solve the following quadratic equations by factorization:

4x² + 5x = 0

Solve the following quadratic equations by factorization:

9x² − 3x − 2 = 0

Solve the following quadratic equations by factorization:

6x² - x - 2 = 0

Solve the following quadratic equations by factorization:

6x² + 11x + 3 = 0

Solve the following quadratic equations by factorization:

5x² - 3x - 2 = 0

Solve the following quadratic equations by factorization:

48x² − 13x − 1 = 0

Solve the following quadratic equations by factorization:

3x² = -11x - 10

Solve the following quadratic equations by factorization:

25x(x + 1) = -4

Solve the following quadratic equations by factorization:

`10x-1/x=3`

Solve the following quadratic equations by factorization:

`2/2^2-5/x+2=0`

Solve the following quadratic equations by factorization:

`4sqrt3x^2+5x-2sqrt3=0`

Solve the following quadratic equations by factorization:

`sqrt2x^2-3x-2sqrt2=0`

Solve the following quadratic equations by factorization:

a²x² - 3abx + 2b² = 0

Solve the following quadratic equations by factorization:

`x^2-(sqrt2+1)x+sqrt2=0`

Solve the following quadratic equations by factorization:

`x^2-(sqrt3+1)x+sqrt3=0`

Solve the following quadratic equations by factorization:

4x² + 4bx - (a² - b²) = 0