
R is mid point of $P Q$
$\therefore \mathrm{R}(2,1,-1)$ and it lies on plane equation of plane is $\alpha a+\beta y+\gamma z=\delta$
$
\begin{equation*}
\therefore 2 \alpha+\beta-\gamma=\delta \tag{1}
\end{equation*}
$
Normal vector to plane is
$
\begin{align*}
& \overrightarrow{\mathrm{n}}=2 \mathrm{i}+2 \mathrm{j} \\
& \therefore \frac{\alpha}{2}=\frac{\beta}{2}=\frac{\gamma}{0}=\mathrm{k} \\
& \therefore \alpha=2 \mathrm{k}, \beta=2 \mathrm{k}, \gamma=0 \tag{2}
\end{align*}
$
and $\alpha+\gamma=1$ (given)
from (2) and (3)
$
\therefore \quad \alpha=1, \beta=1, \gamma=0
$
and from (1)
$
\begin{aligned}
& 2(1)+1-0=\delta \\
& \delta=3
\end{aligned}
$
Now :
$
\begin{aligned}
& \alpha+\beta=2 \\
& \delta-\gamma=3 \\
& \delta+\beta=4
\end{aligned}
$
so, $\mathrm{A}, \mathrm{B}, \mathrm{C}$ are correct.