Question
Mathematics Question on Conic sections
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
(−2,0)
Explanation
Solution
Point must be on the directrix of the parabola. Hence the point is (−2,0).