The abscissa of a point on the curve

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The abscissa of a point on the curve xy=(a+x)2xy=(a+x)^2, the normal at which cuts off numerically equal intercepts from the coordinate axes, is (a) −a2-\frac{a}{\sqrt{2}} (b) 2a\sqrt{2}a (c) a2\frac{a}{\sqrt{2}} (d) −2a-\sqrt{2}a

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