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Find the locus of the mid points of the portion of the lines `xsintheta+y costheta=p` intercepted between the axes.

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Let the line cut the axes in A and B and if (h,k) be the midpoints of AB, then
`2h=p/costheta,2k=p/sintheta`
​ In order to find the locus, eliminate the variable `theta` by `cos^2theta+sin^2theta=1`
`1/(x^2)​+1/(y^2)​=4/(p^2)`
​
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