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If \(x/y = 6/5\), the value of \(\frac{x^2+y^2}{x^2-y^2}\) is:

  • A.11/61
  • B.61/11
  • C.31/1
  • D.1/31

Answer: B

Take \( x = 6k \) and \( y = 5k \).

\[ \frac{x^{2}+y^{2}}{x^{2}-y^{2}} = \frac{36k^{2}+25k^{2}}{36k^{2}-25k^{2}} \]

\[ = \frac{61}{11} \]

The \( k^{2} \) cancels, so only the ratio matters.

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