The \( \mathrm{ABC} \) is a triangular plate of uniform thickness. ...

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The \( \mathrm{ABC} \) is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. \( \mathrm{I}_{\mathrm{AB}} \), \( \mathrm{I}_{\mathrm{BC}} \) and \( \mathrm{I}_{\mathrm{CA}} \) are the moments of inertia of the plate about \( \mathrm{AB}, \mathrm{BC} \) and \( \mathrm{CA} \) respectively. Which one of the following relations is correct?
(1) \( \mathrm{I}_{\mathrm{AB}}+\mathrm{I}_{\mathrm{BC}}=\mathrm{I}_{\mathrm{CA}} \)
(2) \( \mathrm{I}_{\mathrm{CA}} \) is maximum
(2) \( I_{A B}I_{B C} \)
(4) \( I_{\mathrm{BC}}I_{\mathrm{AB}} \)
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