Show that xcosalpha+ysinalpha=p touches ...

Show that `xcosalpha+ysinalpha=p` touches the parabola `y^2=4a x` if `pcosalpha+asin^2alpha=0` and that the point of contact is `(atan^2alpha,-2atanalpha)dot`

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The correct Answer is:

`(a tan ^2theta-2atanalpha)`

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