यदि \(x = {1 \ \over x - 3}\), (x > 0) है, तो \(x + {1 \ \over x}\) का मान है

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 1)
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  1. \( { \ \sqrt{11} }\)
  2. \( { \ \sqrt{17} }\)
  3. \( { \ \sqrt{15} }\)
  4. \( { \ \sqrt{13} }\)

Answer (Detailed Solution Below)

Option 4 : \( { \ \sqrt{13} }\)
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Detailed Solution

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प्रयुक्त संकल्पना:

यदि x - 1/x = a है, तब x + 1/x = √(a2 + 4)

गणना:

⇒ x2 - 3x = 1

⇒ x2 - 3x - 1 = 0

⇒ x - 3 - 1/x = 0

⇒ x - 1/x = 3

अब, यदि x - 1/x = 3 है, तब  = √(32 + 4) = 

∴ सही उत्तर है

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