The coordinates of A and B are $(1,4)$ and $B(5,2)$ respectively, then the coordinate of P if $AP: PB$ is $3:4$ are ____

Question

$\begin{array}{1 1}(A) \;\bigg( \large\frac{-19}{7} ,\frac{-22}{7}\bigg) \\(B)\;\bigg( \large\frac{-19}{7} ,\frac{22}{7}\bigg) \\(C)\;\bigg( \large\frac{19}{7} ,\frac{-22}{7}\bigg) \\(D)\;\bigg( \large\frac{19}{7} ,\frac{22}{7}\bigg) \end{array}$