For the given uniform square lamina $\mathrm{A B C D}$, whose centre is $\mathrm{O}$,

For the given uniform square lamina $\mathrm{A B C D}$, whose centre is $\mathrm{O}$,
  1. $\sqrt{2 \mathrm{I}}_{\mathrm{AC}}=\mathrm{I}_{\mathrm{EF}}$
  2. $\mathrm{I}_{\mathrm{AD}}=3\mathrm{I}_{\mathrm{EF}}$
  3. $\mathrm{I}_{\mathrm{AC}}=\mathrm{I}_{\mathrm{EF}}$
  4. $\mathrm{I_{A C}}=\sqrt{2} \mathrm{I_{E F}}$

Solution

$\mathrm{I}_{\mathrm{AC}}=\mathrm{I}_{\mathrm{EF}}$ (from $\perp^{\text {rd }}$ axis theorem)

Asked in: JEE Main 2007

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