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Question: Answered & Verified by Expert
$x-2=t^2, y=2 t$ are the parametric equations of the parabola
MathematicsParabolaJEE Main
Options:
  • A $y^2=4 x$
  • B $y^2=-4 x$
  • C $x^2=-4 y$
  • D $y^2=4(x-2)$
Solution:
1838 Upvotes Verified Answer
The correct answer is: $y^2=4(x-2)$
Here $\frac{y}{2}=t$ and $x-2=t^2$
$\Rightarrow \quad(x-2)=\left(\frac{y}{2}\right)^2 \Rightarrow y^2=4(x-2)$.

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