If $\frac{a^{2}+b^{2}}{c^{2}+d^{2}}=\frac{a b}{c d},$ then find the value of $\frac{a+b}{a-b}$ in terms of $c$ and $d$ only.

  • A
    $\frac{c+d}{c d}$
  • B
    $\frac{c d}{c+d}$
  • C
    $\frac{c-d}{c+d}$
  • D
    $\frac{c+d}{c-d}$

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