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

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

A

π6\frac{\pi}{6}

B

π4\frac{\pi}{4}

C

π3\frac{\pi}{3}

D

π2\frac{\pi}{2}

Answer

π3\frac{\pi}{3}

Explanation

Solution

tan q = s1x+1\frac{\sqrt{s_{1}}}{x + 1} = 16−41+1\frac{\sqrt{16 - 4}}{1 + 1}

tan q = 232\frac{2\sqrt{3}}{2} ̃ q = π3\frac{\pi}{3}