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  4. If x = t2 + 2 and y = 2t represent the parametric equation of the parabola

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

KCETKCET 2012Conic Sections

Solution:

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