passwella.
Menu

JAMB Mathematics 1986 Question 33

Question 33

Circle Theorems

In the diagram below, PQ and RS are chords of a circle centre O which meet at T outside the circle. If TP = 24cm, TQ = 8cm and TS = 12cm, find TR.

Diagram for this question
  1. A.16cm
  2. B.14cm
  3. C.12cm
  4. D.8cm.
Show the answer and explanation

Answer: A (16cm)

Explanation

For two secants from an outside point, TP × TQ = TS × TR. So 24 × 8 = 12 × TR and TR = 16cm.