SSC CGL 2022121)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

Correct Option: D

114°

SSC CGL 2022122)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:

Correct Option: D

108°

SSC CGL 2022123)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?

Correct Option: D

16

SSC CGL 2022124)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

Correct Option: B

5.4 cm

SSC CGL 2022125)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:

Correct Option: A

3

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

Correct Option: C

153

SSC CGL 2022127)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?

Correct Option: 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

Correct Option: B

100

SSC CGL 2022129)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 .

Correct Option: C

110°

SSC CGL 2022130)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).

Correct Option: B

6

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