P वर दोन वर्तुळे एकमेकांना बाहेरून स्पर्श करतात. AB ही दोन वर्तुळांची थेट सामाईक स्पर्शिका आहे. जर A आणि B हे संपर्क बिंदू असतील आणि ∠PAB = 65°, तर ∠ABP _______ असेल.

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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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वापरलेली संकल्पना : 

स्पर्शिकेच्या वर्तुळाच्या संपर्काच्या बिंदूवरील कोन हा काटकोन असतो.F1 Other Arbaz  30-10-23 D12 

गणना:

प्रश्नानुसार,

⇒ ∠PAB = 65° 

आता ΔAPB मध्ये,

⇒ ∠A  + ∠B + ∠P = 180° 

⇒ 65° + ∠B + 90° = 180° 

⇒ ∠B = 180° - 155° = 25° 

∴ योग्य उत्तर 25° आहे.

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