MATHEMATICS>Chapter 10 - Circles>EXERCISE>Q 30

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In figure, $A B C D$ is a cyclic quadrilateral, find $x$ and $y$ .

Important Questions on Circles

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MATHEMATICS>Chapter 10 - Circles>EXERCISE>Q 31

In figure,

O

is the centre of the circle, and

∠ D A B = 50^{o} .

Find

x

and

y

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MATHEMATICS>Chapter 10 - Circles>EXERCISE>Q 32

In figure,

O

is the centre of the circle and

L

and

M

are the mid-points of

A B

and

C B

respectively. If

∠ O A B = ∠ O C B,

prove that

B L = B M .

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MATHEMATICS>Chapter 10 - Circles>EXERCISE>Q 33

In figure,

A O B

is a diameter of circle,

C, D

and

E

are any three points on the semicircle. Find the value of

∠ A C D + ∠ B E D

.

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MATHEMATICS>Chapter 10 - Circles>EXERCISE>Q 34

P Q R S

is a cyclic quadrilateral such that

P Q

is diameter of the circle and

∠ P S R = 145^{o} .

Find

∠ Q P R .

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MATHEMATICS>Chapter 10 - Circles>EXERCISE>Q 35

In figure,

A B C D

is a cyclic quadrilateral whose diagonals intersect at

P

. If

∠ D B C = 70 °

and

∠ C A B = 30 °

, then find

∠ B C D

.

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MATHEMATICS>Chapter 10 - Circles>EXERCISE>Q 36

In figure,

A O C

is a diameter of the circle and arc

arc A X B = \frac{1}{2} a r c B Y C

. Find

∠ B O C .

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MATHEMATICS>Chapter 10 - Circles>EXERCISE>Q 37

In figure,

X Y

is a diameter of the circle.

P Q

is a chord equal to the radius of the circle.

X P

and

YQ

when extended intersect at a point

R

, find

∠ X R Y

.

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9th CBSE

IMPORTANT

MATHEMATICS>Chapter 10 - Circles>EXERCISE>Q 38

In figure,

O

is the centre of the circle. Find value of

x, y

and

z

.

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