SSC CGL 2020 PYQ — Question 75

SSC CGL - 9th March 2020 Shift 3 • Quantitative Aptitude • Q75

From external point P, a tangent PQ is drawn to a circle, with the centre O, touching the circle at Q. if the distance of P from the centre is 13 cm and length of the tangent PQ is 12 cm, then the radius of the circle is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e 5 cm

Given, PO = 13 cm, PQ = 12 cm 

OQ = (132 - 122)1/2 = (169 -144)1/2 = 251/2 = 5 cm

Radius = OQ = 5cm