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Question: If a double ordinate of the parabola y<sup>2</sup> = 4ax be of length 8a, then the angle between the...

If a double ordinate of the parabola y2 = 4ax be of length 8a, then the angle between the lines joining the vertex of the parabola to the ends of this double ordinate is

A

300

B

600

C

900

D

1200

Answer

900

Explanation

Solution

PQ = 8a

4at = 8a

t = 2

tan (q/2) = 2at/at2

̃ tan(q/2) = 2/t = 2/2 = 1

̃ q/2 = 450

̃ q = 900