SSC CGL 2018 PYQ — Question 32

SSC CGL Tier II Quant - 17/02/2018 • Quantitative Aptitude • Q32

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent ?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 ie √33 : √17.

Direct common tangent = 

Transverse common tangent = 

DCT/TCT = 

= 

= √91/√51

= √33/√17