एक आयत का एक विकर्ण 25° पर आयत की एक भुजा की ओर झुका हुआ है। विकर्णों के बीच का न्यून कोण है-

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 2)
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  1. 55°
  2. 50°
  3. 40°
  4. 25°

Answer (Detailed Solution Below)

Option 2 : 50°
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Bihar STET Paper 1 Mathematics Full Test 1
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गणना:

F1 Railways  Priya 22 5 24 D7

चूँकि AD = BC और DC उभयनिष्ठ है

⇒ ΔADC और ΔBDC सर्वांगसम हैं

⇒ ∠ACD = ∠BDC = 25°

ΔDOC में,

∠DOC = 180° - (25 + 25) = 130°

⇒ ∠DOA = 180° - 130° = 50°

∴ विकर्णों के बीच न्यून कोण 50° है।

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