दो वृत्त P पर एक दूसरे को बाह्य रूप से स्पर्श करते हैं। AB दोनों वृत्तों की उभयनिष्ठ स्पर्श रेखा है। यदि A और B स्पर्श बिंदु हैं और ∠PAB = 65° है, तो ∠ABP = _______ है।

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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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प्रयुक्त अवधारणा:

किसी वृत्त की स्पर्श रेखा के स्पर्श बिंदु पर बना कोण समकोण होता है।

F1 Other Arbaz  30-10-23 D12 

गणना:

प्रश्नानुसार,

⇒ ∠PAB = 65°

अब ΔAPB में,

⇒ ∠A + ∠B + ∠P = 180°

⇒ 65° + ∠B + 90° = 180°

⇒ ∠B = 180° - 155° = 25°

∴ सही उत्तर 25° है।

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