class 11

Math

Co-ordinate Geometry

Conic Sections

$y_{2}=4x$ be the parabola and the points $A(9,6),B(4,−4)$ lie on the parabola such that area of $△ABC$ is maximum (given $C$ lies at the arc contain origin). Find the maximum area of $△ABC$ (A) $2101 $ (B) $269 $ (C) $4125 $ (D) $3521 $