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If the axes are rotated in anti clock wise through an angle $90^{0}$ then the equation $x^{2} = 4 a y$ is changed to the equation

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$x^{2} = - 4 a y$

$x^{2} = 4 a y$

$y^{2} = - 4 a x$

$y^{2} = 4 a x$

answer is A.

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Detailed Solution

$θ = 90^{0} \begin{array}{l} x = X \cos 90^{0} - Y S i n 90^{0} = - Y \\ y = X S i n 90^{0} + Y \cos 90^{0} = X \end{array}$

Transformed equation of $x^{2} = 4 a y i s Y^{2} = 4 a X$

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