IMO Olympiad Work Book 10>Chapter 10 - Circles>ACHIEVERS SECTION (HOTS)>Q 18

HARD

10th Foundation

IMPORTANT

Earn 100

Match the following

Column-I Column-II

$(a)$ Radius of the given circle is

$(p) 20 cm$

$(b)$ In the given figure, value of $x$ is,

$(q) 6 cm$

$(c)$ Perimeter of $△ P S T$ with $P Q = 10 cm$ is

$(r) 5 cm$

50% studentsanswered this correctly

Important Questions on Circles

HARD

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 10 - Circles>ACHIEVERS SECTION (HOTS)>Q 19

The radii of two concentric circles are

13 cm

and

8 cm . A B

is a diameter of the bigger circle.

B D

is a tangent to the smaller circle touching it at

D .

Find the length of

A D

.

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 10 - Circles>ACHIEVERS SECTION (HOTS)>Q 20

In the given figure,

O

is the centre of a circle,

P Q L

and

P R M

are the tangents at the points

Q

and

R

respectively and

S

is a point on the circle such that

∠ S Q L = 50 °

and

∠ S R M = 60 °

.Then find

∠ Q S R

and

∠ R P Q

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