जर a + b + c = 6 आणि a 2 + b 2 + c 2 = 14, तर (a - b) 2 + (b - c) 2 + (c - a) 2 ची किंमत किती?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 4)
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  1. -8
  2. 8
  3. 10
  4. 6

Answer (Detailed Solution Below)

Option 4 : 6
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दिलेल्याप्रमाणे:

a + b + c = 6 आणि a2 + b2 + c2 = 14,

गणना:

a = 1 , b = 2 आणि c = 3 टाकू

a + b + c = 1 + 2 + 3 = 6

तर चे मूल्य

(a - b)2 + (b - c)2 + (c - a)2 .

⇒ (1 - 2)2 + (2 - 3)2 + (3- 1)2 .

⇒ 1 + 1 + 4 = 6

∴ योग्य पर्याय 4 आहे

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