Answer :

given: ay2 = x3 is the curve, and the point is am2 at which normal is required

Differentiating the curve to get the slope of the tangent




Formula: mtangentmnormal = - 1



Finding the corresponding y coordinate for the given x coordinate


ay2 = a3m6


y2 = a2m6


y = am3 or - am3


therefore


Now, we know that,


Equation of line: (y – y1) = mnormal(x – x1)


the equation of normal is


or



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