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An massless equilateral triangle EFG of ...

An massless equilateral triangle EFG of side 'a' (As shown in figure) has three particles of mass m situated at its vertices . The moment of inertia of the system about the line EX perpendicular to EG in the plane of EFG is `(N)/(20) ma^2` where N is an integer . The value of N is _______

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