If for non-zero \(x, \: af(x) + bf(\frac{1}{x}) = \frac{1}{x} - 25\) where \(a…

GATE · 2015 · CS · Set 3 · Computer Science & IT

1. A.

   $\frac{1}{a^2 - b^2} \begin{bmatrix} a(\ln 2 - 25) + \frac{47b}{2} \end{bmatrix}$

2. B.

   $\frac{1}{a^2 - b^2} \begin{bmatrix} a(2\ln 2 - 25) - \frac{47b}{2} \end{bmatrix}$

3. C.

   $\frac{1}{a^2 - b^2} \begin{bmatrix} a(2\ln 2 - 25) + \frac{47b}{2} \end{bmatrix}$

4. D.

   $\frac{1}{a^2 - b^2} \begin{bmatrix} a(\ln 2 - 25) - \frac{47b}{2} \end{bmatrix}$

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