Three particles, each of mass \( \mathrm{m} \) are situated at the vertices of an equilateral tr...

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Three particles, each of mass \( \mathrm{m} \) are situated at the vertices of an equilateral triangle \( \mathrm{ABC} \) of side \( \ell \) (as shown in the figure).
The moment of inertia of the system about a line \( \mathrm{AX} \) perpendicular to \( \mathrm{AB} \) and in the plane of \( \mathrm{ABC} \), will be :-
(1) \( 2 \mathrm{~m} \ell^{2} \)
(2) \( \frac{5}{4} m \ell^{2} \)
(3) \( \frac{3}{2} m \ell^{2} \)
(4) \( \frac{3}{4} m \ell^{2} \)
\( \mathrm{P} \)
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