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Let a line L(1) with slope 1 is a normal...

Let a line `L_(1)` with slope 1 is a normal to the circle `x^(2)+y^(2)+6y+2=0` and tangent to the ellipse "`(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`, then maximum value of area of ellipse (in square units),is

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