Question

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

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

Hint:

Vertex is midpoint of focus and directrix.

Answer 1

The Correct Option is B

Vertex lies midway between focus and directrix. Distance of focus from y-axis = 3. Vertex x-coordinate: (3)/(2)