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  4. Equation of the normal to the parabola, y2=4 a x at its point ( am 2, 2 am ) is:

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Q. Equation of the normal to the parabola, $y^2=4 a x$ at its point $\left( am ^2, 2 am \right)$ is:

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Solution:

Equation of normal to the parabola $y^2=4 a x$ at its
points $\left( am ^2, 2 am \right)$ is
$y=-m x+2 a m+a m^3$