A ball is projected from ground at an angle $45^{\circ}$ with horizontal from distance $d_1$ from the foot of a pole and just after touching the top of pole it the falls on ground at distance $d_2$ from pole on other side, the height of pole is ...........

  • A

    $2 \sqrt{d_1 d_2}$

  • B

    $\frac{d_1+d_2}{4}$

  • C

    $\frac{2 d_1 d_2}{d_1+d_2}$

  • D

    $\frac{d_1 d_2}{d_1+d_2}$

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