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Q.

The length of a double ordinate of a parabola y2 = 4px is 8p the angle between the lines from the vertex to the extremities of the double ordinate is

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a

45o

b

90o

c

60o

d

30o

answer is D.

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Detailed Solution

Let the extremities of the double ordinate be P(pt2, 2pt); p'(pt2, -2pt).
Length of double ordinate = pp' = 4pt = 8pt = 2
Then P = (4p, 4p); p' = (4p, -4p)
Slope of op = 1; slope of op' = -1
m1m2 = -1θ = 90o

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The length of a double ordinate of a parabola y2 = 4px is 8p the angle between the lines from the vertex to the extremities of the double ordinate is