English Medium इयत्ता ९ - CBSE Question Bank Solutions for Mathematics

Fill in the blanks:

Segment of a circle is the region between an arc and __________ of the circle.

Fill in the blanks:

A circle divides the plane, on which it lies, in __________ parts.

Write True or False. Give reason for your answer.

Line segment joining the centre to any point on the circle is a radius of the circle.

Write True or False. Give reason for your answer.

A circle has only finite number of equal chords.

Write True or False. Give reasons for your answers.

If a circle is divided into three equal arcs, each is a major arc.

Write True or False. Give reasons for your answers.

A chord of a circle, which is twice as long as its radius, is a diameter of the circle.

Write True or False. Give reason for your answer. 

Sector is the region between the chord and its corresponding arc.

Write True or False. Give reason for your answer.
A circle is a plane figure.

Evaluate the following using identities:

`(2x+ 1/x)^2`

Evaluate the following using identities:

(2x + y) (2x − y)

Evaluate the following using identities:

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

Evaluate following using identities:

(a - 0.1) (a + 0.1)

Evaluate the following using identities:

(1.5x² − 0.3y²) (1.5x² + 0.3y²)

Evaluate the following using identities:

(399)²

Evaluate following using identities:

991 ☓ 1009

Evaluate the following using identities:

117 x 83

Evaluate the following using identities:

(0.98)²

Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25

Simplify the following:

322 x 322 - 2 x 322 x 22 + 22 x 22

Simplify the following:

0.76 x 0.76 - 2 x 0.76 x 0.24 x 0.24 + 0.24