Moment of inertia of an equilateral triangular lamina \( \mathrm{AB...

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Moment of inertia of an equilateral triangular lamina \( \mathrm{ABC} \), about the axis passing through its
\( \mathrm{P} \) centre \( \mathrm{O} \) and perpendicular to its plane is \( \mathrm{I}_{0} \) as

W shown in the figure. A cavity DEF is cut out from the lamina, where D, E, F are the mid
- points of the sides. Moment of inertia of the remaining part of lamina about the same axis is :-
(1) \( \frac{7}{8} I_{0} \)
(2) \( \frac{15}{16} I_{0} \)
(3) \( \frac{3}{4} I_{0} \)
(4) \( \frac{31}{32} I_{0} \)
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