Multiple choice

A line through the circle O of a circle of radius 7 cm cuts the tangent, at a point P on the circles, at Q such that PQ = 24 cm.Find OQ. एक 7 सेमी त्रिज्या वाले वृत्त के केन्द्र O से एक रेखा वृत्त पर बिन्दु P पर काटती है, और Q पर, इस प्रकार कि PQ = 24 सेमी। OQ ज्ञात कीजिए।

  1. 12 cm/सेमी

  2. 23 cm/सेमी

  3. 12.5 cm/सेमी

  4. 25 cm/सेमी
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In circle geometry, radius is perpendicular to tangent at point of contact. So triangle OPQ is right-angled at P, with OP = 7 cm (radius) and PQ = 24 cm (given). By Pythagoras theorem: OQ² = OP² + PQ² = 7² + 24² = 49 + 576 = 625. Therefore OQ = √625 = 25 cm. Option D is correct.

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