Two chords PQ and RS of a circle meet at A when produced. AT is a tangent to the circle meeting it at T. The ratio PA : SA is equal to which of the following?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. RA : AQ.
PQ, RS are secants and RT is the tangent.
So, we know,
PA × AQ = SA × RA
⇒ PA : SA = RA : QA
The ratio PA : SA = RA : QA.