Tangents are drawn from the point \( (a, a) \) to the circle \( x^{2} + y^{2} - 2x - 2y - 6 = 0 \). If the angle between the tangents lies in the range \( \left ( \dfrac { \pi }{ 3 }, \pi \right ) \), then the exhaustive range of values of \( a \) is
1
\( (1, \infty) \)
2
\( (-5, -3) \cup (3, 5) \)
3
\( (-\infty, 2\sqrt { 2 }) \cup (2\sqrt { 2 }, \infty) \)
4
\( (-3, -1) \cup (3, 5) \)