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 = a^{2}
The diagonal of square = \sqrt{2}a
∴ Area of square = 2a^{2}
∴ Required Ratio = a^{2} : 2a^{2}
= 1 : 2
Hence option [C] is the right answer.

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