Question

If $(2,0)$ is the vertex & $y-$ axis is the directrix of a parabola, then its focus is.

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

Answer 1

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

From the question it is clear that the axis of the parabola is along the positive direction of the $x-$ axis.

Also we know that distance between the vertex and the directrix is equal to the distance between the focus and the vertex.

Now, according to the problem the distance between the vertex and the directrix is $2$ units.

As the vertes is given to be $(2,0)$ then the focus will be $(2+2,0)=(4,0)$.