The ratio of the area of a square to that of the square drawn on diagonal is :

A. 1 : 1

B. 1 : $$\sqrt 2 $$

C. 1 : 2

D. 1 : 4

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{Required ratio}} \cr & = \frac{{{a^2}}}{{{{\left( {\sqrt 2 a} \right)}^2}}} \cr & = \frac{{{a^2}}}{{2{a^2}}} \cr & = \frac{1}{2} \cr & = 1:2 \cr} $$