O केंद्र वाले एक वृत्त में, इसके बिंदु Q पर स्पर्श रेखा PQR है। AB वृत्त के अन्दर जीवा है जो स्पर्श रेखा के इस प्रकार समांतर है कि ∠BQR = 70° है। ∠AQB की माप क्या है?

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SSC CGL Previous Paper 51 (Held On: 7 June 2019 Shift 3)
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  1. 35°
  2. 60°
  3. 55°
  4. 40°

Answer (Detailed Solution Below)

Option 4 : 40°
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F3 V.G Deepak 17.10.2019 D 4

⇒ ∠BQR = 70° (दिया है)

⇒ ∠BQR = ∠QBA = 70° (एकांतर अन्तः कोण)

⇒ ∠BQR = ∠QAB = 70° (एकांतर खंड प्रमेय)

ΔAQB में

⇒ ∠AQB + ∠QAB + ∠QBA = 180°

⇒ ∠AQB + 70° + 70° = 180°

⇒ ∠AQB = 180° – 140° = 40°

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