Question
The maximum area of a triangle whose one vertex is at $(0,0)$ and the other two vertices lie on the curve $y=-2 x^2+54$ at points $(x, y)$ and $(-x, y)$, where $y>0$, is :
The maximum area of a triangle whose one vertex is at $(0,0)$ and the other two vertices lie on the curve $y=-2 x^2+54$ at points $(x, y)$ and $(-x, y)$, where $y>0$, is :