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  4. The co-ordinates of the point on the √x+√y=6 at which the tangent is equally inclined the axes is

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Q. The co-ordinates of the point on the $\sqrt{x}+\sqrt{y}=6$ at which the tangent is equally inclined the axes is

KCETKCET 2022Straight Lines

Solution:

$\frac{d y}{d x}=-\sqrt{\frac{y}{x}}=-1$
$y=x$
$\sqrt{x}+\sqrt{x}=6$
$x=9, y=9$