English Medium कक्षा ९ - CBSE Question Bank Solutions for Mathematics

Factorise the following:

9x² – 12x + 4

Factorise the following:

1 – 64a³ – 12a + 48a²

Factorise the following:

`8p^3 + 12/5 p^2 + 6/25 p + 1/125`

Factorise:

1 + 64x³ 

Factorise:

`a^3 - 2sqrt(2)b^3`

Find the following product:

(2x – y + 3z)(4x² + y² + 9z² + 2xy + 3yz – 6xz)

Factorise:

a³ – 8b³ – 64c³ – 24abc

Factorise:

`2sqrt(2)a^3 + 8b^3 - 27c^3 + 18sqrt(2)abc`

Without finding the cubes, factorise:

(x – 2y)³ + (2y – 3z)³ + (3z – x)³

If both x – 2 and `x - 1/2` are factors of px² + 5x + r, show that p = r.

In ∆ABC, AB = AC and ∠B = 50°. Then ∠C is equal to ______.

In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to ______.

In ∆PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is ______.

D is a point on the side BC of a ∆ABC such that AD bisects ∠BAC. Then ______.

It is given that ∆ABC ≅ ∆FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be ______.

In ∆PQR, if ∠R > ∠Q, then ______.

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are ______.

If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer

In ∆PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your answer.