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Find the equation of normal for the parabola $y^2=4ax$ in parametric form

$\begin{array}{1 1}(a)\;y+x=2at+at^3\\(b)\;y^2+x^2=2at+at^3\\(c)\;y+x=at+at^2\\(d)\;y+2x=at+at^3\end{array}$

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