For the given uniform square lamina ABCD, whose centre is O [AIEEE 2007] |
A) \[f(x)=\]
B) \[{{\log }_{e}}x\]
C) \[2{{\log }_{3}}e\]
D) \[\frac{1}{2}{{\log }_{e}}3\]
Correct Answer: B
Solution :
[b] Let the each side of square lamina is d. |
So, (due to symmetry) |
and (due to symmetry) |
Now, according to theorem of perpendicular axes, |
...(i) |
and |
...(ii) |
From Eqs. (i) and (ii), we get |
(using theorem of parallel axis) |
So, |
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