Question

The locus of the point of intersection of two tangents to the parabola y²=4ax which are at right angle to one another is

• A. \(x^2+y^2=a^2\)
• B. \(ay^2=x\)
• C. \(x+a=0\)
• D. x+y+a=0

Hint:

For y²=4ax, orthogonal tangents intersect on the directrix.

Answer 1

The Correct Option is C

For parabola y²=4ax, locus of intersection of perpendicular tangents is: x+a=0