If the image of the point P(1, −2, 3) in the plane, $2x+3y−4z+22=0$ measured parallel to the line, $\large\frac{x}{1}=\frac{y}{4}=\frac{z}{5}$ is Q, then PQ is equal to :

Question

$\begin{array}{1 1} (1) 2 \sqrt {42} \\ (2) \sqrt{42} \\ (3) 6 \sqrt{5} \\ (4) 3 \sqrt{5} \end{array} $