English Medium इयत्ता १० - CBSE Question Bank Solutions

Evaluate the Following

`sin 30^2/sin 45^@ + tan 45^@/sec 60^@ - sin 60^@/cot 45^@ - cos 30^@/sin 90^@`

Evaluate the Following:

`tan 45^@/(cosec 30^@) + sec 60^@/cot 45^@  - (5 sin 90^@)/(2 cos 0^@)`

Find the value of x in the following :

`2sin 3x = sqrt3`

Find the value of x in the following :

`2 sin  x/2 = 1`

Find the value of x in the following :

`sqrt3 sin x = cos x`

Find the value of x in the following :

`sqrt3 tan 2x = cos 60^@ + sin45^@ cos 45^@`

Find the value of x in each of the following :

cos x = cos 60º cos 30º + sin 60º sin 30º

Find the value of x in the following :

cos 2x = cos 60° cos 30° + sin 60° sin 30°

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