SSC CGL 2020 PYQ — Question 74

SSC CGL - 9th March 2020 Shift 2 • Quantitative Aptitude • Q74

In a circle, chords PQ and TS are produced to meet at R. if RQ =14.4 cm, PQ = 11.2 cm, and SR = 12.8 cm, then the length of chord TS is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e 16 cm

Application

By the secant theorem:

QR × PR = RS × RT

⇒ 14.4 × (14.4 + 11.2) = 12.8 × (12.8 + ST)

⇒ 28.8 = 12.8 + ST

⇒ ST = 16 cm