A ray of light passing through the point (1, 2) reflects on the $x$ - axis at point $A$ and the reflected ray passes through the point (5, 3). Find the coordinates of $A$

Question

$\begin {array} {1 1} (A)\;\bigg( \large\frac{5}{13}, 0 \bigg) & \quad (B)\;\bigg( -\large\frac{5}{13}, 0 \bigg) \\ (C)\;\bigg( \large\frac{13}{5}, 0 \bigg) & \quad (D)\;\bigg( -\large\frac{13}{5}, 0 \bigg) \end {array}$