1.

For the equation (x -1)2 + (x - 2)2 + (x - 3)2 = 01. values of x are 1, 2, 32. values of x are -1, -2, -33. there is no real value of x4. None of the above

Answer» Correct Answer - Option 1 : values of x are 1, 2, 3

Concept

When a2 + b2 + c2 = 0 then a = 0, b = 0 and c = 0

Calculation

(x - 1)2 + (x - 2)2 + (x - 3)2 = 0

⇒ (x - 1)2 = 0

and (x - 2)2 = 0

and (x - 3)2 = 0 [square of a number can't be negative] 

⇒ x - 1 = 0, x - 2 = 0 and x - 3 = 0

⇒ x = 1, 2, 3


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