Multiple choice

O is the centre of a circle. Tangent drawn from a point P, touches the circle at Q. If PQ=24 cm and OQ=10 cm, then what is the value of OP?

  1. 26 cm

  2. 52 cm

  3. 13 cm

  4. 15 cm
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Tangent PQ is perpendicular to radius OQ at point Q, forming right triangle ΔOQP with OQ = 10 cm and PQ = 24 cm. By Pythagoras theorem: OP² = OQ² + PQ² = 100 + 576 = 676, so OP = 26 cm. Option C (13 cm) is half the correct answer.

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