O কেন্দ্রবিশিষ্ট একটি বৃত্তে, PQR হল তার উপর Q বিন্দুতে একটি স্পর্শক। AB হল স্পর্শকের সমান্তরাল বৃত্তের একটি জ্যা যেখানে ∠BQR = 70°, ∠AQB এর পরিমাপ কি?

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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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Detailed Solution

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F3 V.G Deepak 17.10.2019 D 4

⇒ ∠BQR = 70° (প্রদত্ত)

⇒ ∠BQR = ∠QBA = 70° (বিকল্প অভ্যন্তরীণ কোণ)

⇒ ∠BQR = ∠QAB = 70° (বিকল্প রেখাংশ উপপাদ্য)

ΔAQB-তে

⇒ ∠AQB + ∠QAB + ∠QBA = 180°

⇒ ∠AQB + 70° + 70° = 180°

⇒ ∠AQB = 180° - 140° = 40°

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