All in One Mathematics>Chapter 9 - Circles>Exam Practice>Q 39

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9th CBSE

IMPORTANT

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The chord $E D$ is parallel to the diameter $A C$ . Determine $∠ C E D$ .

Important Questions on Circles

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9th CBSE

IMPORTANT

All in One Mathematics>Chapter 9 - Circles>Exam Practice>Q 40

If

O

is the centre of the circle, then find the value of

x

in the given figure.

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9th CBSE

IMPORTANT

All in One Mathematics>Chapter 9 - Circles>Exam Practice>Q 41

In the given figure,

∠ A D C = 130 °

and chord

B C =

chord

B E

. Find

∠ C B E

.

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9th CBSE

IMPORTANT

All in One Mathematics>Chapter 9 - Circles>Exam Practice>Q 42

If

B M

and

C N

are the perpendiculars drawn on the sides

A C

and

A B

of the

△ A B C

, then prove that the points

B, C, M

and

N

are concyclic.

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9th CBSE

IMPORTANT

All in One Mathematics>Chapter 9 - Circles>Exam Practice>Q 43

If a pair of opposite sides of a cyclic quadrilateral are equal, prove that its diagonals are also equal.

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9th CBSE

IMPORTANT

All in One Mathematics>Chapter 9 - Circles>Exam Practice>Q 44

In the given figure,

A O B

is a diameter of the circle and

C, D

and

E

are any three points on the semi-circle. Find the value of

∠ A C D + ∠ B E D

.

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HARD

9th CBSE

IMPORTANT

All in One Mathematics>Chapter 9 - Circles>Exam Practice>Q 45

In the given figure, the points

M, R, N, P, S

and

Q

are concyclic. Find

∠ P Q R + ∠ O P R + ∠ N M S + ∠ O S N

, if

O

is the centre of the circle.

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9th CBSE

IMPORTANT

All in One Mathematics>Chapter 9 - Circles>Exam Practice>Q 46

The circumcentre of the

△ A B C

is

O

. Prove that

∠ O B C + ∠ B A C = 90 °

.

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9th CBSE

IMPORTANT

All in One Mathematics>Chapter 9 - Circles>Exam Practice>Q 47

O

is the circumcentre of the

△ A B C

and

D

is the mid-point of the base

B C

. Prove that

∠ B O D = ∠ A

.