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Let y =f(x) be a given curve and P(x,y) and Q(x + δx ,y + δy)be two neighbouring points on it.

When Q → P, i.e., δx → 0 line PQ becomes tangent to the curve *y* = *f* (*x*) at point *P*. We also know that

**Normal**** at P(x, y)**

The normal at *P* (*x*, *y*) is perpendicular to tangent (2) therefore, its slope is

Hence, its equation is

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