If √(x – 1)² + √(3 – x)² = 2; then (x – 1)² + (3 – x)² equals

If √(x – 1)² + √(3 – x)² = 2; then (x – 1)² + (3 – x)² equals
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A: 2
B: None of these
D: None of these

Let a = x – 1; b = 3 – x; so equation is √a² + √b² = 2. Since √a² = |a| and √b² = |b|; we have |a| + |b| = 2. Square both sides