Multiple choice

The tangents are drawn at the extremities of a diameter AB of a circle with centre P. If a tangent to the circle at the point C intersects the other two tangets at Q and R, then the measure of the ∠QPR is- P केन्द्र वाले एक वृत्त का व्यास AB के छोरों पर स्पर्श रेखाएं खींची गई हैं। यदि बिंदु C पर वृत्त की एक स्पर्श रेखाओं का Q तथा R पर प्रतिच्छेदित करें तो ∠QPR का माप है-

  1. 450

  2. 600

  3. 900

  4. 1800
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C Correct answer
Explanation

Tangents at endpoints of diameter are parallel (both perpendicular to radius). The tangent at point C is perpendicular to radius PC. In quadrilateral QPRC, angle between parallel tangents is 0. By properties of tangents from external points, angle QPR = 90 degrees. This is a standard property: tangents at diameter endpoints form a right angle with any other tangent.

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