Consider a uniform square plate of side ' $a$ ' and mass ' $m$ '. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is\\
(1) $\frac { 5 } { 6 } m a ^ { 2 }$\\
(2) $\frac { 1 } { 12 } m a ^ { 2 }$\\
(3) $\frac { 7 } { 12 } m a ^ { 2 }$\\
(4) $\frac { 2 } { 3 } m a ^ { 2 }$