Question
Download Solution PDFऊपर दिए गए चित्र में, SPT वृत्त के लिए P पर एक स्पर्शरेखा है और O वृत्त का केंद्र है। यदि ∠ QPT = α हो, तब ∠POQ का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF∠OPT = 90° [∵ त्रिज्या स्पर्श-रेखा के लम्बवत्त होती है]
∠OPQ = 90° - ∠QPT = 90° - α
∠OQP = 90° - α [∵ OQ = OP]
त्रिभुज OQP में,
∠O + ∠Q + ∠P = 180°
∠O + 90 - α + 90 - α = 180
∴ ∠O = 2α
Last updated on Jun 18, 2025
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