Let x, y be real variable satisfying the x 2 + y 2 + 8x – 10y – 40 = 0 . Let a = max…

Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry

Let x, y be real variable satisfying the
x² + y² + 8x – 10y – 40 = 0 . Let a = max
\(\left\{\sqrt{\left(x+2^{2}\right)+(y-3)^{2}}\right\}\)and b = min, then

1. a + b = 18
2. a + b = 4 \(\sqrt{2}\)
3. a – b = 4 \(\sqrt{2}\)
4. a . b = 73

Answer

(A) a + b = 18, (C) a – b = 4 2, (D) a . b = 73

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