Question

The point on the curve $y^2=8x$ on which the abscissa and ordinate changes at the same rate is

• A. (2, 4)
• B.
• C.
• D.

Answer 1

The correct option is A

(2, 4)

$y^2=8x\text{Diff.w.r.t.'t'}\Rightarrow 2y\frac{dy}{dt}=8.\frac{dx}{dt}(given\frac{dy}{dt}=\frac{dx}{dt})\Rightarrow 2y=8\Rightarrow y=4\Rightarrow x=2\therefore point=(2,4)$