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If the length of the tangent at any point on the curve y = f(x) intercepted between the point and the x-axis is of length 1

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If the length of the tangent at any point on the curve y = f(x) intercepted between the point and the x-axis is of length 1. Find the equation of the curve.

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The Equation of the tangent at any point (x, y) is 

Y – y = (dy/dx)(X – x)

It meets the x-axis at (x – y(dy/dx), 0)

Given AP = 1 

AP2 = 1

which is the required equation of the curve.

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