Let $C$ be the ellipse $24 x ^ { 2 } + x y + 5 y ^ { 2 } + 3 x + 2 y + 1 = 0$. Then, the line integral $\oint \left( x ^ { 2 } y \, d y + x y ^ { 2 } \, d x \right)$\\
(a) lies in $( 0,1 )$;\\
(b) is 1;\\
(c) is either 1 or $-1$ depending on whether $C$ is traversed clockwise or counterclockwise;\\
(d) is 0.