The area (in square units) of the region enclosed by the ellipse $x ^ { 2 } + 3 y ^ { 2 } = 18$ in the first quadrant below the line $y = x$ is\\
(1) $\sqrt { 3 } \pi - \frac { 3 } { 4 }$\\
(2) $\sqrt { 3 } \pi + 1$\\
(3) $\sqrt { 3 } \pi$\\
(4) $\sqrt { 3 } \pi + \frac { 3 } { 4 }$