Question
Download Solution PDFনীচে দেওয়া চিত্রে, SPT বৃত্তের P বিন্দুতে একটি স্পর্শক এবং O বৃত্তের কেন্দ্র। যদি ∠QPT = α হয়, তাহলে ∠POQ কত?
This question was previously asked in
CDS Maths Previous Paper 5 (Held On: 4 Feb 2018)
Answer (Detailed Solution Below)
Option 2 : 2α
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Detailed Solution
Download Solution PDF∠OPT = 90° [∵ ব্যাসার্ধ স্পর্শকের উপর লম্ব]
∠OPQ = 90° - ∠QPT = 90° - α
∠OQP = 90° - α [∵ OQ = OP]
ত্রিভুজ OQP তে
∠O + ∠Q + ∠P = 180°
∠O + 90 - α + 90 - α = 180
∴ ∠O = 2α
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