The abscissa of the point on the curve

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

\sqrt{xy}=a+x

, at which the tangent cuts off equal positive intercepts from the coordinate axes, is, where

a>0

, (1)

\frac{a}{\sqrt{2}}

(2)

-\frac{a}{\sqrt{2}}

(3)

a\sqrt{2}

(4)

-a\sqrt{2}