ABC is a plane lamina of the shape of an equilateral triangle. D, E are mid points of AB, AC and G is the centroid of the lamina. Moment of inertia of the lamina about an axis passing through G and perpendicular to the plane ABC is 
. If part ADE is removed, the moment of inertia of the remaining part about the same axis is 
where N is an integer. Value of N is ____________.
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11 JEE Main 2020
Let 
is about ‘G’ mass be 
, and length be 
… (i)
Then MI of 
Let moment of inertia of one triangular part (side) be 
about ‘G’ then
So moment of inertia of remaining portion 
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