Question

Let P(4, –4) and Q(9, 6) be two points on the parabola, y² = 4x and let X be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of ΔPXQ is maximum. Then this maximum area (in sq. units) is :

(1) 125/4

(2) 75/2

(3) 625/4

(4) 125/2

Answer 1

The correct option (1) 125/4 

Explanation:

Comments

Why the coordinates of X are taken as (t^2, 2t) ? Please explain.

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Because, points on parabola y^2=4x is of the form (at^2, 2at), here a=1.