Page 68 - Mathematics Class - X

MCQs

1. Two tangents making an angle of 120 with each other are drawn to a circle of radius 6 cm, then the length
o
of each tangent is equal to
a) √3 cm b) 6√3 cm c) √2 cm d) 2√3 cm

2. If PQ and PR are tangents to the circle with centre O such that ∠QPR = 50 , then ∠OQR is equal to
o
a) 25 b) 30 c) 40 d) 50 o
o
o
o
3. Find the length of the tangent drawn to a circle of radius 7cm from a point P, 25 cm away from the centre
of the circle
a) 23 b) 24 c) 20 d) 21
4. Two circles touch each other externally at C and AB is a common tangent to the circles. Then
∠ACB = ?
a) 60 b) 45 c) 30 d) 90 o
o
o
o
5. AP and AQ are tangents drawn from a point A to a circle with centre O and radius 9 cm. If OA = 15 cm,
then AP + AQ = ?
a) 12 cm b) 18 cm c) 24 cm d) 36 cm

Answers: 1. d) 2√3 cm 2. a) 25 3. b) 24 4. d) 90 5. c) 24 cm
o
o

Case-Study Based Questions
Case-Study Based Questions

A Ferris wheel is an amusement ride consisting of a rotating upright
wheel with multiple passenger-carrying components attached to the R
rim in such a way that as the wheel turns, they are kept upright, S
usually by gravity. After taking a ride in Ferris wheel, Ram came out O
from the crowd and started observing her friends who were enjoying 30°
ride. He was curious about the different angles and measures that Q P
the wheel will form. He forms the figure as given below.
Now answer the following questions.

1. In the given figure, find ∠ROQ.
(a) 60° (b) 100° (c) 150° (d) 90°

2. Find ∠RQP.
(a) 75° (b) 60° (c) 30° (d) 90°
3. Find ∠ORP.
(a) 90° (b) 70° (c) 100° (d) 60°

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