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JEE Advance - Mathematics (1994 - No. 42)

A circle is inscribed in an equilateral triangle of side $$a$$. The area of any square inscribed in this circle is ..............
$${{{a^2}} over 3}$$ sq. unit
$${{{a^2}} over 4}$$ sq. unit
$${{{a^2}} over 5}$$ sq. unit
$${{{a^2}} over 6}$$ sq. unit
$${{{a^2}} over 12}$$ sq. unit

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