Question

Statement-1: The tangents at the extrenities of a forcal of the parabola `y^(2)=4ax` intersect on the line x + a = 0.
Statement-2: The locus of the point of intersection of perpendicular tangents to the parabola is its directrix
A. Statement-1 is True, Statement - 2 is true, Statement-2 is a correct explanation for Statement-1`
B. Statement-1 is True, Statement - 2 is true, Statement-2 is not a correct explanation for Statement-2
C. Statement-1 is True, Statement - 2 is False.
D. Statement-1 is True, Statement - 2 is True.

Answer 1

Correct Answer - A
Statement-1: is true.
Since tangents at the end-points of a focal chord of the parabola are perpendicular. So, they intersect at a point on the directrix.