Question

The equation of a tangent to the parabola y2 = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

(a) (-1, 1)

(b) (0, 2)

(c) (2, 4)

(d) (-2, 0)

Answer 1

Correct Option**(d) (-2, 0)**

Explanation:

Since, perpendicular tangents intersect on the directrix, then point must lie on the directrix x = -2.

Hence, the required point is (- 2, 0).