The ratio of the area of a square to that of the square drawn on its diagonal is :
The ratio of the area of a square to that of the square drawn on its diagonal is :
[A]1 : 3
[B]1 : 5
[C]1 : 2
[D]1 : 6
1 : 2
Let the side of square be a unit.
Area of this square = $latex a^{2}$
The diagonal of square = $latex \sqrt{2}a$
∴ Area of square = $latex 2a^{2}$
∴ Required Ratio = $latex a^{2} : 2a^{2}$
$latex = 1 : 2$
Hence option [C] is the right answer.