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

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\( A B C \) is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. \( I_{A B}, I_{B C}, I_{C A} \) are the moments of inertia of the plated about \( A B, B C \) and \( C A \) respectively. Which one of the following relation is correct?
(1) \( I_{C A} \) is maximum
(2) \( I_{A B}I_{B C} \)
(3) \( I_{B C}I_{A B} \)
(4) \( I_{A B}+I_{B C}=I_{C A} \)
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