In the rectangular coordinate plane, the line $y = m x$
$$x ^ { 2 } - 26 x + y ^ { 2 } + 144 = 0$$
intersects the circle at two different points.
Accordingly, which of the following is the interval showing all possible values of $m$?\\
A) $\left( - \frac { 3 } { 4 } , \frac { 3 } { 4 } \right)$\\
B) $\left( - \frac { 3 } { 8 } , \frac { 3 } { 8 } \right)$\\
C) $\left( - \frac { 4 } { 9 } , \frac { 4 } { 9 } \right)$\\
D) $\left( - \frac { 5 } { 12 } , \frac { 5 } { 12 } \right)$\\
E) $\left( - \frac { 7 } { 24 } , \frac { 7 } { 24 } \right)$