Q. The ratio of the area of a square to that of the square drawn on its diagonal is :
Answer: 1 : 2
Notes: 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

1