Multiple choice

Two tangents are drawn from a point P to a circle at A and B .O is the center of circle .If ∠ AOP = 600,then ∠ APB is - एक बिंदु P से एक वृत्त के बिंदु A और B पर दो स्पर्श रेखा खीचीं गई है। O वृत्त का केद्र है। यदि ∠AOP = 600 हो, तो ∠ APB है -

  1. 300

  2. 600

  3. 900

  4. 1200
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B Correct answer
Explanation

The tangent is perpendicular to the radius at the point of contact. In right triangle AOP with angle AOP = 60°, angle APO = 30°. Similarly, angle BPO = 30°. Therefore angle APB = 30° + 30° = 60°. The value 600 in the question is a typo for 60°.

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