The condition for identifying the two perpendicular axes X and Y of a section as principal axes is:

1
Product of moment of Inertia (IX : IY) is zero
2

Moment of inertia about the axes are equal (IX = IY)

3
Product of moment of Inertia (IxY) is zero
4

Sum of squares of moment of Inertia about the axes Ix2 + Iy2 is zero

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