JEE Main 2019 Mathematics question

MathematicsParabolaJEE Main 2019

Let A(4, −4) and B(9, 6) be points on the parabola, . Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of ΔACB is maximum. Then, the area (in sq. units) of ΔACB, is:

Answer: (D)

Solution

Tangent at C parallel to AB (slope 2) ⇒ C(1/4, 1); area .

Question ID VK-010017