यदि a + b = 12 और 4ab = 140 है, तो a2 + b2 का मान क्या है?

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DFCCIL Executive CBT1 Electrical 25 Aug 2023 Shift 2 Official Paper
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  1. 144
  2. 74
  3. 4
  4. 37

Answer (Detailed Solution Below)

Option 2 : 74
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दिया गया है:

यदि a + b = 12 और 4ab = 140

प्रयुक्त सूत्र:

(a + b)2 = a2 + b2 + 2ab

गणना:

(a + b)2 = 122

⇒ 144 = a2 + b2 + 2ab

चूँकि, 4ab = 140

⇒ ab = 35

⇒ 144 = a2 + b2 + 2 x 35

⇒ 144 = a2 + b2 + 70

⇒ a2 + b2 = 74

∴ सही उत्तर विकल्प 2 है।

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