Mathematics - Parabola Question with Solution | TestHub

Let $\mathrm{A}\equiv (9,6),\mathrm{B}(4,-4)$ be two points on parabola ${\mathrm{y}}^2=4\mathrm{x}$ and $\mathrm{P}\left({\mathrm{t}}^2,2\mathrm{t}\right),\mathrm{t}\in [-2,3]$ be a variable point on it such that area of $\Delta \mathrm{PAB}$ is maximum, then point P will be