SSC Selection Post 2025 PYQ — Question 27

SSC Selection Post - Higher Secondary Level - 28th July 2025 - Shift 2 • Quantitative Aptitude • Q27

Two tangents are drawn from an external point P to a circle, touching at points A and B. If the distance from P to the center O is 13 cm, and radius is 5 cm, what is the length of tangent PA?

Show answer & explanation

Correct answer: C

Explanation

In the right-angled triangle OAP,

PA = √(OP² − OA²)

= √(13² − 5²)

= √(169 − 25)

= √144

= 12 cm