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Question: Answered & Verified by Expert
The parabola having its focus at (3,2) and directrix along the $y$ -axis has its vertex at
MathematicsParabolaBITSATBITSAT 2016
Options:
  • A (2,2)
  • B $\left(\frac{3}{2}, 2\right)$
  • C $\left(\frac{1}{2}, 2\right)$
  • D $\left(\frac{2}{3}, 2\right)$
Solution:
2304 Upvotes Verified Answer
The correct answer is: $\left(\frac{3}{2}, 2\right)$
Vertex of the parabola is a point which lies on the axis of the parabola, which is a line $\perp$ to the directrix through the focus, i.e., $\mathrm{y}=2$ and equidistant from the focus and directrix $\mathrm{x}=0$, so that the vertex is $\left(\frac{3}{2}, 2\right)$.

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