If the some of a number and its reciprocal be 2 then number is = ?

A. 0

B. 1

C. -1

D. 2

Answer: Option B

Solution(By Examveda Team)

$$\eqalign{ & x + \frac{1}{x} = 2 \cr & {x^2} + 1 = 2x \cr & {x^2} - 2x + 1 = 0 \cr & {\left( {x - 1} \right)^2} = 0 \cr & {\text{Then, }}x{\text{ = 1}} \cr} $$