If a tangent to the ellipse x^2/a^2+y^2/b^2 = 1 (a > b > 0) having slope 1/3 is a normal to the circle x^2+y^2 + 2x + 2y + 1 = 0 , then the maximum value of ab is

AP EAMCET Engineering 22 Apr 2019 Shift 2 Paper

Section: Mathematics

Question : 71 of 160

Marks: +1, -0

If a tangent to the ellipse

= 1 (a > b > 0) having slope

is a normal to the circle x2+y2 + 2x + 2y + 1 = 0 , then the maximum value of ab is

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