দুটি বৃত্ত একে অপরকে P বিন্দুতে বাহ্যিকভাবে স্পর্শ করে। AB হল দুটি বৃত্তের একটি সরাসরি সাধারণ স্পর্শক। A ও B স্পর্শবিন্দু হলে এবং ∠PAB = 65° হলে ∠ABP-এর মান _______।

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 35°
  2. 15°
  3. 25°

Answer (Detailed Solution Below)

Option 4 : 25°
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Detailed Solution

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অনুসৃত ধারণা: 

কোনো বৃত্তের স্পর্শবিন্দুতে স্পর্শক বৃত্তের সাথে সমকোণ গঠন করে।

F1 Other Arbaz  30-10-23 D12

গণনা:

প্রশ্নানুসারে,

⇒ ∠PAB = 65° 

এখন ΔAPB-তে,

⇒ ∠A  + ∠B + ∠P = 180° 

⇒ 65° + ∠B + 90° = 180° 

⇒ ∠B = 180° - 155° = 25° 

∴ সঠিক উত্তর 25°

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