If $P(x,y,z)$ is a point on the line segment joining $Q(2,2,4)\:\:and\:\:R(3,5,6)$ such that the projections of $\overrightarrow {OP}$ on the coordinate axes are $\large\frac{13}{5},\frac{19}{5},\frac{26}{5}$ respectively, then $P$ divides $QR$ in the ratio ?

Question

$\begin{array}{1 1} (a)\:1:2\:\:\:\qquad\:\:(b)\:\:3:2\:\:\:\qquad\:\:(c)\:\:2:3\:\:\:\qquad\:\:(d)\:\:1:3 \end{array} $