The locus of P such that the area of $\Delta PQR$ is $12sq.units$ where $Q\left(2,2\right)$ and $R\left(–4,5\right)$ is

$\begin{array}{l}P(x,y),Q(2,2),R(-4,5)\mathrm{△}PQR=12\\ \Rightarrow \frac{1}{2}\left|\begin{array}{ll}x-2& x+4\\ y-2& y-5\end{array}\right|=12\Rightarrow \left|\right(x-2\left)\right(y-5)-(x+4\left)\right(y-2\left)\right|=24\\ \Rightarrow |x+2y-6|=8\Rightarrow |x+2y-6|=8\\ \Rightarrow x^2+4y^2+4xy-12x-24y-28=0\end{array}$