Question

If $(2,0)$ is vertex and $y-$axis is the directrix of a parabola. Then its focus will be

• A. $(0,0)$
• B. $(2,0)$
• C. $(4,0)$
• D. $(-2,0)$

Answer 1

The correct option is C $(4,0)$

Since the directrix is $x=0$ and vertex is $(2,0)$ focus will be on $x-$axis
Since the distance between directrix and vertex is $2$.
distance between focus and vertex will be $2$.
Coordinate of focus will be $(4,0)$