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IF P1P2 and Q1Q2 two focal chords of a...

IF `P_1P_2` and `Q_1Q_2` two focal chords of a parabola `y^2=4ax` at right angles, then

A

area of the quadrilateral `P_(1)Q_(1)P_(2)Q_(2)` is minimum when the chords are inclined at an angle `pi/4` to the axis of the parabola

B

minimum area is twice the area of the square on the latus rectum of the parabola

C

minimum area of `P_(1)Q_(1)P_(2)Q_(2)` cannot be found

D

minimum area is thrice the area of the square on the latus rectum of the parabola

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The correct Answer is:
A, B
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