121)

In a circle, ABCD is a cyclic quadrilateral. AC and BD intersect each other at P. If AB = AC and ∠BAC = 48°, then the measure of ∠ADC is

SSC CGL 2022

A)

132°

B)

112°

C)

104°

D)

114°

122)

In a circle with centre O, AC and BD are two chords. AC and BD meet at E, when produced. If AB is a diameter and ∠AEB = 36°, then the measure of ∠DOC is:

SSC CGL 2022

A)

136°

B)

124°

C)

112°

D)

108°

123)

In a circle of diameter 20 cm, chords AB and CD are parallel to each other. BC is diameter. If AB is 6 cm from the centre of the circle, what is the length (in cm) of the chord CD?

SSC CGL 2022

A)

8

B)

20

C)

12

D)

16

124)

Chords AB and CD of a circle, when produced, meet at the point P. If AB = 6.3 cm, BP = 4.5 cm, and CD = 3.6 cm, then the length (in cm) of PD is

SSC CGL 2022

A)

3.5 cm

B)

5.4 cm

C)

4.8 cm

D)

3.1 cm

125)

Chords AB and CD of a circle intersect externally at P. If AB = 7 cm, CD = 1 cm and PD = 5 cm, then the length of PB (in cm) is:

SSC CGL 2022

A)

3

B)

10

C)

8

D)

5

126)

In the given figure, O is the centre of the circle. ∠POQ = 54°. What is the measure (in degree) of ∠PRQ?

SSC CGL 2022

A)

235

B)

137

C)

153

D)

207

127)

An isosceles ΔMNP is inscribed in a circle. If MN = MP = 16√5 cm, and NP = 32 cm, what is the radius (in cm) of the circle?

SSC CGL 2022

A)

18√5

B)

20√5

C)

18

D)

20

128)

In the following figure, P and Q are centers of two circles. The circles are intersecting at points A and B. PA produced on both the sides meets the circles at C and D. If ∠CPB = 100°, then find the value of x.

SSC CGL 2022

A)

115

B)

100

C)

110

D)

120

129)

AB is a chord of a circle with centre O, while PAQ is the tangent at A.R is a point on the minor arc AB. If ∠BAQ = 70° then find the measure of ∠ARB .

SSC CGL 2022

A)

70°

B)

125°

C)

110°

D)

145°

130)

A circle with centre O has radius 15 cm. D is a point on the circle such that a 24 cm long chord AB is bisected by OD at point C. Find the length of CD (in cm).

SSC CGL 2022

A)

4

B)

6

C)

9

D)

10