Question

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

• A. (2, 2)
• B. $\left(\frac{3}{2} , 2 \right)$
• C. $\left(\frac{1}{2} , 2 \right)$
• D. $\left(\frac{2}{3} , 2 \right)$

Answer 1

Answer: (B)

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

Answer 2

Vertex of the parabola is a point which lies on the axis of the parabola, which is a line $\bot$ to the directrix through the focus, i.e., $y = 2$ and equidistant from the focus and directrix $x = 0$, so that the vertex is $\left(\frac{3}{2} , 2\right)$ .