Question:The ratio of the area of a square to that of the square drawn on its diagonal is :
A `1 : 1`
B `1 : 2`
C `1 : 3`
D `1 : 4`
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+ Answer
B
+ ExplanationLet side of a square = a. Then, its diagonal` = sqrt(2) a`.
Ratio of areas of squares with sides a & `sqrt(2) a`
`= a^2/(sqrt(2) a)^2`
`= 1/2 or 1 : 2`