Test SeriesFree PYQsExamsPricing

JEE Main 2019 Mathematics question

MathematicsParabolaJEE Main 2019

Let P(4, −4) and Q(9, 6) be two points on the parabola, 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:

Answer: (B)

Solution

X = (1/4, 1) (tangent parallel to PQ); area = 125/4.

Question ID VK-010376