If $$x + \frac{1}{x} = 2$$   then $${x^2} + \frac{1}{{{x^2}}}$$   is equal to?

A. 0

B. 2

C. 4

D. 8

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & x + \frac{1}{x} = 2{\text{ }} \cr & {\text{But }}x = 1 \cr & {\text{So, }}{x^2} + \frac{1}{{{x^2}}} = {1^2} + \frac{1}{{{1^2}}} = 2 \cr} $$