If a² + b² + c² + $$\frac{1}{{{a^2}}} + \frac{1}{{{b^2}}} + \frac{1}{{{c^2}}} = 6,$$    then what is the value of a² + b² + c²?

A. 3

B. 6

C. -3

D. 2

Answer: Option A

Solution(By Examveda Team)

a² + b² + c² + $$\frac{1}{{{a^2}}} + \frac{1}{{{b^2}}} + \frac{1}{{{c^2}}} = 6,$$
Put a = b = c = 1
∴ a² + b² + c² = 1 + 1 + 1 = 3