Mathematics - Point Question with Solution | TestHub

Let $\mathrm{A}(4,-2),\mathrm{B}(1,1)$ and $\mathrm{C}(9,-3)$ be the vertices of a triangle $ABC$. Then the maximum area of the parallelogram AFDE , formed with vertices $\mathrm{D},\mathrm{E}$ and F on the sides $\mathrm{BC},\mathrm{CA}$ and AB of the triangle ABC respectively, is ______ .