Problem

Problem

If P1P2P_1P_2 and Q1Q2Q_1Q_2, two focal chords of a parabola y2=4axy^2 = 4ax at right angles, then a. area of the quadrilateral P1Q1P2Q2P_1Q_1P_2Q_2 is minimum when the chords are inclined at an angle π/4\pi/4 to the axis of the parabola. b. minimum area is twice the area of the square on the latusrectum of the parabola. c. minimum area of quadrilateral P1Q1P2Q2P_1Q_1P_2Q_2 cannot be found. d. minimum area is thrice the area of the square on the latusrectum of the parabola.

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