(x2 - y2) এবং (x - y) এর তৃতীয় সমানুপাতী কত হবে?

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SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. (x - y)
  2. \(\rm \frac{x-y}{x+y}\)
  3. \(\rm \frac{x+y}{x-y}\)
  4. (x + y)

Answer (Detailed Solution Below)

Option 2 : \(\rm \frac{x-y}{x+y}\)
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Detailed Solution

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প্রদত্ত:

প্রথম সংখ্যা (a) = (x2 - y2)

দ্বিতীয় সংখ্যা (b) = (x - y)

অনুসৃত সূত্র:

তৃতীয় সমানুপাতী = {দ্বিতীয় সংখ্যা (b)}2/প্রথম সংখ্যা (a)

(x2 - y2) = (x - y) × (x + y)

গণনা:

তৃতীয় সমানুপাতী = (x - y)2/(x2 - y2)

⇒ {(x - y) × (x - y)}/{(x - y) × (x + y)} 

⇒ \(\rm \frac{x-y}{x+y}\)

∴ সঠিক উত্তর হল \(\rm \frac{x-y}{x+y}\) 

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