SSC CGL 2023 PYQ — Question 63

SSC CGL - 26 July 2023 - Shift 4 • Quantitative Aptitude • Q63

Find the value of x in the given figure where TP (tangent on point T) = 15 cm, PB = 2x + 3 cm, PA = 9 cm.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 11 cm.

PT2 = PA × PB

⇒ 152 = 9 × (2x + 3)

⇒ 225 = 18x + 27

⇒ 18x = 225 - 27

⇒ 18x = 198

⇒ x = 11