Question

The locus of point of intersection of any tangent to the parabola $y^2=4a(x-2)$ with a line perpendicular to it and passing through the focus, is

• A. x = 2
• B. y = 0
• C. x = a
• D. x = a + 2

Answer 1

The correct option is A x = 2

It is well known property of a parabola that a tangent and normal to it from focus intersect at tangent at vertex. The tangent at the vertex of the the given parabola is x = 2.