यदि X + Y = 23 और XY = 126 है; तो (X)² + (Y)² का मान क्या है?

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CSIR-CLRI JSA 2024 Official Paper-I (Held On: 16 Feb, 2025)
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  1. 250
  2. 277
  3. 340
  4. 386

Answer (Detailed Solution Below)

Option 2 : 277
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दिया गया है:

X + Y = 23

XY = 126

प्रयुक्त सूत्र:

(X + Y)2 = X2 + Y2 + 2XY

गणना:

232 = X2 + Y2 + 2 x 126

⇒ 529 = X2 + Y2 + 252

⇒ X2 + Y2 = 529 - 252

⇒ X2 + Y2 = 277

∴ सही उत्तर विकल्प (2) है।

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