Consider a uniform square plate shown in the figure. `I_(1), I_(2), I_(3)` and `I_(4)` are moment of inertia of the plate about the axes 1, 2, 3 and 4 respectively. Axes 1 and 2 are diagonals and 3 and 4 are lines passing through centre parallel to sides of the square. The moment of inertia of the plate about an axis passing through centre and perpendicular to the plane of the figure is equal to which of the followings.
(a) `I_(3) + I_(4)`
(b) `I_(1) + I_(3)`
(c) `I_(2) + I_(3)`
(d) `(1)/(2) (I_(1) + I_(2) + I_(3) + I_(4))`

Answer

a, b, c, d