If 0 < x < 1, which of the following is greatest ?

A. x

B. x²

C. ²

D. $$\frac{1}{{{x^2}}}$$

Answer: Option D

Solution(By Examveda Team)

0 < x < 1
⇒ x² < x < 1 ..... (i)
⇒ $$\frac{1}{{{x^2}}}$$ > $$\frac{1}{x}$$ > 1 > x > x² [using ...(i)]
Hence, $$\frac{1}{{{x^2}}}$$ is the greatest.