Conic Sections

Please explain me this.
Is the vertex of the conic always the midpoint of the focus and the point where the nearest directrix to the focus intersects the axis of the conic?

@goku
the ratio is e:1. so for parabola it is midpoint.

@ashishdeosingh you mean if eccentricity is 1, then it is the midpoint
What happens in case of ellipse and hyperbola