SSC CGL 20221)AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ∠APC = 62º, then find the measure of the minor arc AC.

Correct Option: C

28º

SSC CGL 20222)O is the centre of a circle with diameter 20 cm. T is a point outside the circle and TA is a tangent to a circle. If OT is 26 cm, what is the length (in cm) of the tangent TA?

Correct Option: A

24

SSC CGL 20223)In a circle with centre O, chords PR and QS meet at the point T, when produced, and PQ is a diameter. If

∠ROS = 42º, then the measure of∠PTQ is

Correct Option: A

69º

SSC CGL 20224)Two circles touch each other externally at T. RS is a direct common tangent to the two circles touching the circles at P and Q. ∠TPQ = 42°. ∠PQT (in degrees) is:

Correct Option: B

48

SSC CGL 20225)AB is the diameter of a circle with centre O. C and D are two points on the circumference of the circle on either side of AB, such that ∠CAB = 42° and ∠ABD = 57°. What is difference (in degrees) between the measures of ∠CAD and ∠CBD?

Correct Option: D

18°

SSC CGL 20226)A tangent is drawn from a point P to a circle, which meets the circle at T such that PT = 10.5 cm. A secant PAB intersects the circle in points A and B. If PA = 7 cm, what is the length (in cm) of the chord AB?

Correct Option: A

8.75

7)Two common tangents AC and BD touch two equal circles each of radius 7 cm, at points A, C, B and D, respectively, as shown in the figure. If the length of BD is 48 cm, what is the length of AC?

SSC CGL 2022

Correct Option: C

50 cm

SSC CGL 20228)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 20229)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 202210)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

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