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  4. Let P be a point on the parabola y2 = 4ax with focus F. Let Q denote the foot of the perpendicular from P onto the directrix. Then (tan ∠PQF/tan ∠PFQ) is

Q. Let P be a point on the parabola with focus F. Let Q denote the foot of the perpendicular from P onto the directrix. Then is

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Solution:

Equation of parabola is


Let the parametric coordinate of point on the parabola is
. Now,
and
we observe that,

So, form a right angle isoceles triangle.
In which,

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