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If $\mathrm{x}=\mathrm{t}^{2}+2$ and $\mathrm{y}=2 \mathrm{t}$ represent the parametric equation of the parabola
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2371 Upvotes
Verified Answer
The correct answer is:
$y^{2}=4(x-2)$
Since, the parametric equation $x=t^{2}+2$ and
$$
\begin{array}{ll}
y=2 t . & \\
\therefore & x-2=t^{2} \\
\Rightarrow & x-2=\frac{y^{2}}{4} \\
\Rightarrow & y^{2}=4(x-2)
\end{array}
$$
$$
\begin{array}{ll}
y=2 t . & \\
\therefore & x-2=t^{2} \\
\Rightarrow & x-2=\frac{y^{2}}{4} \\
\Rightarrow & y^{2}=4(x-2)
\end{array}
$$
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