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Question: Angle between tangents drawn from the point (1, 4) to the parabola y<sup>2</sup> = 4x is...

Angle between tangents drawn from the point (1, 4) to the parabola y2 = 4x is

A

300

B

450

C

600

D

900

Answer

600

Explanation

Solution

y2 = 4x; any tangent to parabola

y = mx + (for a = 1)

It passes through (1, 4) so m2 – 4m + 1 = 0

Ž tan q = 1641+1\frac { \sqrt { 16 - 4 } } { 1 + 1 }= 3\sqrt { 3 }Ž q = 600