Let be the squares such that for each , the length of a side of equals the length of a diagonal of . If the length of a side of is , then for which of the following values of is the area of less than ?
Explanation for the correct option:
Finding the values of :
Considering be the length of the sides of the square.
Therefore diagonal of the square be
Given that diagonal of
It shows a GP with a common ratio
Since given that
It is possible if
.Hence, option (B) is the correct answer.