# Let be the moment of inertia of a uniform plate about an axis that passes through its centre and is parallel to two of its sides. is a line in the plane of the plate that passes through the centre of the plate and makes an angle with . The moment of inertia of the plate about the axis is then equal to a) b) c) d) ## Question ID - 100737 :- Let be the moment of inertia of a uniform plate about an axis that passes through its centre and is parallel to two of its sides. is a line in the plane of the plate that passes through the centre of the plate and makes an angle with . The moment of inertia of the plate about the axis is then equal to a) b) c) d) 3537

(a) and From symmetry, and From theorem of perpendicular axis,    Alternative method:

The relation between and should be true for all values of At Similarly, at  (By symmetry)

Keeping these things in mind. Only option (a) is correct

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