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Let x, y be real variable satisfying x^(...

Let x, y be real variable satisfying `x^(2) + y^(2) + 8x - 10y - 59 = 0` Let `a = max {(x-3)^(2) + (y-4)^(2)` and `b = min {(x-3)^(2) + (y-4)^(2))`, then a + b + 2010 is ______ .

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AAKASH INSTITUTE-CONIC SECTIONS-SECTION -I ( Subjective Type Questions )
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