Q. A double ordinate of the parabola is of length 8a. It subtends an angle at the vertex equal to

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Solution:

Let A be the vertex of the given parabola .
PNQ is the double ordinate of length .

Now the y co-ordinates of P and Q are 4a and -4a.
Therefore from the equation of the parabola , we get
, or
the co-ordinates of P and Q are and .
i.e.
Thus,
i.e

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