English Medium इयत्ता ९ - CBSE Question Bank Solutions for Mathematics

Fill in the blank so as to make the following statement true: 

Two distinct points in a plane determine a ________ line. 

Fill in the blank so as to make the following statement true: 

Two distinct ________ in a plane cannot have more than one point in common. 

Factorize the following expressions:

y³ +125

Factorize the following expressions

1- 27a³

Fill in the blank so as to make the following statement 

Geven a line and a point, not on the line, there is one and only         line pwahsiscehs through the given point and is       to the given line. 

Factorize the following expressions

8x³ y³ + 27a³

Fill in the blank so as to make the following statement 

A line separates a plane into                              parts namely the and the                  itself.

Factorize the following expressions

64a³ – b³

Factorize the following expressions:

`x^3/216 - 8y^3`

Factorize the following expressions:

10x⁴y – 10xy⁴

In a ΔABC, if ∠A = 55°, ∠B = 40°, find ∠C. 

If the angles of a triangle are in the ratio 1: 2 : 3, determine three angles. 

Factorize the following expressions:

54x⁶y + 2x³y⁴

The angles of a triangle are (x − 40)°, (x − 20)° and `(1/2x-10)^@.` find the value of x 

Factorize the following expressions:

32a³ + 108b³

The angles of a triangle are arranged in ascending order of magnitude. If the difference
between two consecutive angles is 10°, find the three angles. 

Factorize the following expressions:

(a - 2b)³ - 512b³

Two angles of a triangle are equal and the third angle is greater than each of those angles
by 30°. Determine all the angles of the triangle. 

If one angle of a triangle is equal to the sum of the other two, show that the triangle is a
right triangle. 

Factorize the following expressions:

(a + b)³ – 8(a – b)³