The \( A B C \) is a triangular plate of uniform thickness. The sides are in the ratio shown in ...

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The \( A B C \) is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. \( I_{A B}, I_{B C} \) and \( I_{C A} \) are the moments of inertia of the plate about \( A B \), \( B C \) and \( C A \) respectively. Which one of the following relations is correct?
(a) \( I_{A B}+I_{B C}=I_{C A} \)
(b) \( I_{C A} \) is maximum
(c) \( I_{A B}>I_{B C} \)
(d) \( I_{B C}>I_{A B} \)
(1995)
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