Point of contact of ellipse with x axis

Question

An ellipse which touches x-axis has its foci as (1,2) and (6,3) then the point of contact with x axis is

A)(2,0)         B)(7/2,0)        C)(3,0)

D)(4,0)

Answer 1

C) (3,0)

Concepts:

1. Sum of distance from foci to a point P on Ellipse is 2a
2. Product of perpendiculars from foci to tangent to ellipse is b²