Locus of mid point of the portion between the axes of $x$ $cos$ $\alpha + y\,\sin \alpha = p$ where $p$ is constant is :

Question

Locus of mid point of the portion between the axes of

$x$ $cos$ $\alpha + y\,\sin \alpha = p$ where $p$ is constant is :

${x^2} + {y^2} = {4 \over {{p^2}}}$

${x^2} + {y^2} = 4{p^2}$

${1 \over {{x^2}}} + {1 \over {{y^2}}} = {2 \over {{p^2}}}$

${1 \over {{x^2}}} + {1 \over {{y^2}}} = {4 \over {{p^2}}}$

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