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Question: Angle between the tangents drawn to y<sup>2</sup> = 4x at the points where it is intersected by the ...

Angle between the tangents drawn to y2 = 4x at the points where it is intersected by the line y = x –1 is

A

π/6\pi/6

B

π/3\pi/3

C

π/4\pi/4

D

π/2\pi/2

Answer

π/2\pi/2

Explanation

Solution

y = x – 1 is a focal chord of the parabola

y2 = 4x therefore tangent at its extremities are perpendicular