Question

If $x=t^2+2$ and $y=2t$ represent the parametric equation of the parabola

• A. $x^2=4(y-2)$
• B. $(y-2{)}^2=4x$
• C. $y^2=4(x-2)$
• D. $(x-2{)}^2=4y$

Answer 1

Answer: (C)

Since, the parametric equation $x=t^2+2$ and $y=2t$.
$\therefore x-2=t^2$
$\Rightarrow x-2=\frac{y^2}{4}$
$\Rightarrow y^2=4(x-2)$