SSC CGL 2025 PYQ — Question 54

SSC CGL - 16 Sep 2025 - Shift 3 • Quantitative Aptitude • Q54

Two circles with radii r1 = 7 cm and r2 = 3 cm have their centres 20 cm apart. Find the length of the transverse common tangent between them.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e.  300\sqrt{300} cm.

Length of transverse common tangent = √[d2 − (r1 + r2)2]

= √[202 − (7 + 3)2]

= √[400 − 100]

= √300 cm