If \(b=a+4,\) then for which of the following values of \(x\) is the expression \((x-a)^2+(x-b)^2\) the smallest?

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If \(b=a+4,\) then for which of the following values of \(x\) is the expression \((x-a)^2+(x-b)^2\) the smallest?

A) \(a-1\)
B) \(a\)
C) \(a+2\)
D) \(a+3\)
E) \(a+5\)

Answer: C

Source: GMAT Club Tests
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