If p ∶ q = 2 ∶ 1, then what is the value of (p2 + q2)/(p2 - q2)?

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DFCCIL Executive CBT1 Electrical 25 Aug 2023 Shift 2 Official Paper
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  1. \(\frac{3}{5}\)
  2. \(\frac{4}{3}\)
  3. \(\frac{5}{3}\)
  4. \(\frac{2}{5}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{5}{3}\)
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Detailed Solution

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Given:

p : q = 2 : 1

Formula used:

\(\dfrac{p^2 + q^2}{p^2 - q^2}\)

Calculation:

Let p = 2k and q = 1k

⇒ So, (p2 + q2)/(p2 - q2) = 

⇒ \(\dfrac{(2k)^2 + k^2}{(2k)^2 - k^2}\)

⇒ \(\dfrac{5k^2}{3k^2}\)

⇒ 5/3

∴ The correct answer is option (3).

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