The parabola having its focus at $(3,2)$ and directrix along the y-axis has its vertex at

• A

  $(2,2)$
• Correct answer
  B

  $\left(\frac{3}{2}, 2\right)$
• C

  $\left(\frac{1}{2}, 2\right)$
• D

  $\left(\frac{2}{3}, 2\right)$

Solution

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 $x=0$, so that the vertex is $\left(\frac{3}{2}, 2\right)$

Hence, the correct answer is option: 'B'.