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Question

Mathematics Question on Conic sections

The equation of a tangent to the parabola y2=8xy^2 = 8x is y=x+2y = 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)(-1, 1)

B

(0,2)(0, 2)

C

(2,4)(2, 4)

D

(2,0)(-2, 0)

Answer

(2,0)(-2, 0)

Explanation

Solution

Point must be on the directrix of the parabola. Hence the point is (2,0).(-2, 0).