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If (a, b) be the point on the curve y...

If ` (a, b) ` be the point on the curve ` y =| x^2 - 4x + 3 | ` which is nearest to the circle ` x^2 + y^2 - 4x - 4y + 7 = 0, `then ` (a + b) ` is equal to -

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