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Question -

Find the equation of the normal at the point(am2, am3) for the curve ay2 = x3.



Answer -

The equation of the given curve is ay2 = x3.

On differentiating with respect to x, wehave
The slope of a tangent to thecurve at (x0, y0)is
 Theslope of the tangent to the given curve at (am2, am3) is
∴ Slope of normal at (am2, am3)= 

Hence, the equation of the normal at (am2, am3) isgiven by,

y − am3 =

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