The parametric equation of the curve y^2 = 8x are - Vidyadip

MCQ

The parametric equation of the curve ${y^2} = 8x$ are

A
$x = {t^2},\;y = 2t$
✓
$x = 2{t^2},\;y = 4t$
C
$x = 2t,\;y = 4{t^2}$
D
None of these

✓

Answer

Correct option: B.

$x = 2{t^2},\;y = 4t$

b
(b) Parametric equations of ${y^2} = 4ax$ are $x = a{t^2},\,y = 2at$

Hence if equation is ${y^2} = 8x$,

then parametric equations are $x = 2{t^2},y = 4t$.

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