Question
Download Solution PDFयदि RP और RQ केंद्र O वाले एक वृत्त की दो स्पर्श रेखाएँ हैं, जैसे कि ∠POQ = 120°, जहाँ P और Q वृत्त पर बिंदु हैं और R वृत्त के बाहर एक बिंदु है, तो ∠PRQ बराबर है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
RP और RQ एक वृत्त की दो स्पर्शरेखाएँ हैं।
∠POQ = 120°
प्रयुक्त अवधारणा:
स्पर्शरेखा स्पर्श बिंदु पर वृत्त की त्रिज्या के साथ समकोण बनाती है।
चतुर्भुज के सभी कोणों का योग = 360°
गणना:
आकृति में:
OP ⊥ PR और OQ ⊥ RQ
∠OPR = ∠OQR = 90°
चतुर्भुज POQR में,
⇒ ∠OPR + ∠OQR + ∠POQ + ∠PRQ = 360
⇒ 90 + 90 + 120 + ∠PRQ = 360
⇒∠PRQ = (360 - 300) = 60°
∴ सही उत्तर 60° है।
Last updated on Jul 9, 2025
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