Find a point on the curve $x ^ { 2 } + 2 y ^ { 2 } = 6$ whose distance from the line $x + y = 7$, is minimum.
The coefficient of $t ^ { 24 }$ in the expansion of $\left( 1 + t ^ { 2 } \right) ^ { 12 } \left( 1 + t ^ { 12 } \right) \left( 1 + t ^ { 24 } \right)$ is
Find a point on the curve $x ^ { 2 } + 2 y ^ { 2 } = 6$ whose distance from the line $x + y = 7$, is minimum.