Match Column-$I$ with Column-$II$:
Column-$I$Column-$II$
$(1)$ Perpendicular Axis Theorem$(a)$ $I = I_C + Md^2$
$(2)$ Parallel Axis Theorem$(b)$ $I_z = I_x + I_y$

Where, $d =$ distance between two parallel axes.

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(B) The Perpendicular Axis Theorem states that for a planar body, the moment of inertia about an axis perpendicular to the plane $(I_z)$ is the sum of the moments of inertia about two mutually perpendicular axes in the plane ($I_x$ and $I_y$), given by $I_z = I_x + I_y$. Thus, $(1) \rightarrow (b)$.
The Parallel Axis Theorem states that the moment of inertia of a body about any axis $(I)$ is equal to the sum of the moment of inertia about a parallel axis passing through the center of mass $(I_C)$ and the product of the mass of the body $(M)$ and the square of the distance between the two axes $(d^2)$, given by $I = I_C + Md^2$. Thus, $(2) \rightarrow (a)$.
Therefore, the correct matching is $(1-b, 2-a)$.

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