11. The straight line \(l\) has equation \(y = m x - 2\), where \(m\) is a constant.
The curve \(C\) has equation \(y = 2 x ^ { 2 } + x + 6\)
The line \(l\) does not cross or touch the curve \(C\).
- Show that \(m\) satisfies the inequality
$$m ^ { 2 } - 2 m - 63 < 0$$
- Hence find the range of possible values of \(m\).