A curve $C$ is given by the equation $\sqrt{x}+\sqrt{y}=\sqrt{a}$, for $x0$, $y0$, where $a$ is a

Question

A curve $C$ is given by the equation $\sqrt{x}+\sqrt{y}=\sqrt{a}$, for $x>0$, $y>0$, where $a$ is a positive constant. Show that $C$ has no stationary points. [3] What can be said about the tangents to $C$ as $x	o 0$? [1]

Accepted Answer

(i) No stationary points (ii) Tangent parallel to y-axis

2013 RI Promo Q1

2013 RI Promo Q1

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