Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Moment of inertia of a circular disc of mass $M$ and radius $R$ about $X, Y$ axes (passing through its plane) and Z-axis which is perpendicular to its plane were found to be $I_{\mathrm{x}}, I_{\mathrm{y}}$ and $I_{\mathrm{z}}$, respectively. The respective radii of gyration about all the three axes will be the same. Reason R: A rigid body making rotational motion has fixed mass and shape. In the light of the above statements, choose the most appropriate answer from the options given below: (1) Both A and R are correct but R is not the correct explanation of A. (2) A is not correct but R is correct. (3) A is correct but R is not correct. (4) Both A and R are correct and R is the correct explanation of A.
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.\\
Assertion A: Moment of inertia of a circular disc of mass $M$ and radius $R$ about $X, Y$ axes (passing through its plane) and Z-axis which is perpendicular to its plane were found to be $I_{\mathrm{x}}, I_{\mathrm{y}}$ and $I_{\mathrm{z}}$, respectively. The respective radii of gyration about all the three axes will be the same.\\
Reason R: A rigid body making rotational motion has fixed mass and shape.\\
In the light of the above statements, choose the most appropriate answer from the options given below:\\
(1) Both A and R are correct but R is not the correct explanation of A.\\
(2) A is not correct but R is correct.\\
(3) A is correct but R is not correct.\\
(4) Both A and R are correct and R is the correct explanation of A.