Velocity in SHM

2015 AIPMT-I 1 question

1. 1 Oscillations
   A particle is executing SHM along a straight line. Its velocities at distances $x_1$ and $x_2$ from the mean position are $V_1$ and $V_2$, respectively. Its time period is
   A $2\pi\sqrt{\frac{x_1^2 + x_2^2}{V_1^2 + V_2^2}}$ B $2\pi\sqrt{\frac{x_2^2 - x_1^2}{V_1^2 - V_2^2}}$ C $2\pi\sqrt{\frac{V_1^2 + V_2^2}{x_1^2 + x_2^2}}$ D $2\pi\sqrt{\frac{V_1^2 - V_2^2}{x_1^2 - x_2^2}}$
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