यदि \(\rm \left(3y-\frac{3}{y}\right)=5\) है, तो \(\rm \left(y^2+\frac{1}{y^2}\right) \) का मान ज्ञात कीजिये।

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. \(\frac{47}{9}\)
  2. \(\frac{49}{9}\)
  3. \(\frac{41}{9}\)
  4. \(\frac{43}{9}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{43}{9}\)
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Detailed Solution

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दिया गया है: 

\(\rm \left(3y-\frac{3}{y}\right)=5 \)

प्रयुक्त सूत्र: 

(a - b)2 = a2 + b2 - 2ab

गणना: 

⇒ y - 1/y = 5/3

⇒ y2 + 1/y2 - 2 = 25/9

⇒ y2 + 1/y2 = 25/9 + 2

⇒ y2 + 1/y= (25 +18)/9

⇒ y2 + 1/y2 = 43/9

∴ सही उत्तर 43/9 है।

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