, Avg: 00:47 , 50%✓ SSC CHSL 202121)Points A, B, C and D are concyclic points of a circle with centre O, such that ∠DOC = 73°. The measure of ∠AOC is 215°. What is the measure of ∠ AOD?
72°
SSC CHSL 202122)In a circle with center O, APB is a tangent at P. If MN is a diameter such that ∠ BPN = 52°, then what is the measure of ∠ PNM?
38°
SSC CHSL 202123)Chord AB of a circle with radius 5 cm is at a distance of 4 cm from the centre O. If tangents drawn at A and B intersect at P, then find the length of the tangent AP.
3.75 cm
, Avg: 01:12 , 50%✓ SSC CHSL 202124)The circumference of a circle is 'aπ' units and the area of the circle is 'bπ' square units. If a ∶ b is equal to 4 ∶ 5, then the radius of the circle is:
2.5 cm
, Avg: 00:24 , 75%✓ SSC CHSL 202125)Two circle touch each other externally. The distance between their centres is 14 cm. If the radius of one circle is 8 cm, then the radius of the other circle is:
6 cm
, Avg: 00:40 , 50%✓ SSC CHSL 202126)A circle touches the side BC of ΔABC at P and also touches AB and AC produced at Q and R, respectively. If the perimeter of ΔABC = 14.1 cm, then the length (in cm) of AQ will be:
7.05
SSC CHSL 202127)AB is 12 cm long chord of a circle with centre O and radius 10 cm. The tangents at A and B intersect at P. What is the length of OP?
12.5 cm
, Avg: 02:01 , 50%✓ SSC CHSL 202128)AB is the diameter of a circle of radius 9 cm. PQ is a chord (not a diameter) that intersects AB at M perpendicularly. If AM : BM = 5 : 4, then the length of chord PQ will be:
8√5 cm
, Avg: 01:49 , 66%✓ SSC CHSL 202129)Chords AB and CD of a circle intersect externally at P. If AB = 8.8 cm, PB = 7.2 cm, PD = 6.4 cm, then CD is equal to:
11.6 cm
, Avg: 01:44 , 28%✓ SSC CHSL 202130)In a circle, two chords UV and WX intersect each other at a point Z within the circle. If UV = 18 cm, ZV = 6 cm and WZ = 9 cm, then the length of ZX is:
8 cm