If x and y are real variables satisfying x2+y2+8x−10y+40=0 and 2a= – InterviewSolution

1.	If x and y are real variables satisfying x2+y2+8x−10y+40=0 and 2a=max.[(x+2)2+(y−3)2]; 2b=min.[(x+2)2+(y−3)2] then a+b is
Answer» If x and y are real variables satisfying $x^{2} + y^{2} + 8 x - 10 y + 40 = 0$ and $2 a = m a x . [(x + 2)^{2} + (y - 3)^{2}]$ ; $2 b = m i n . [(x + 2)^{2} + (y - 3)^{2}]$ then $a + b$ is

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