P వద్ద రెండు వృత్తాలు ఒకదానికొకటి బాహ్యంగా తాకుతాయి. రెండు వృత్తాలకు ప్రత్యక్ష స్పర్శరేఖ AB. A మరియు B సంపర్క బిందువులు మరియు ∠PAB = 65° అయితే, ∠ABP _______.

This question was previously asked in
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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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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ఉపయోగించిన పద్ధతి : 

వృత్తానికి టాంజెంట్ యొక్క స్పర్శ పాయింట్ వద్ద ఉన్న కోణం లంబ కోణం.

F1 Other Arbaz  30-10-23 D12

సాధన:
 
ప్రశ్న ప్రకారం,
 
⇒ ∠PAB = 65°
 
ఇప్పుడు ΔAPBలో,
 
⇒ ∠A + ∠B + ∠P = 180°
 
⇒ 65° + ∠B + 90° = 180°
 
⇒ ∠B = 180° - 155° = 25°
 
∴ సరైన సమాధానం 25°.
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