# No Einstein here! Only an innocent conic

Geometry Level 4

The general equation of an ellipse is given by $$14x^2 - 4xy + 11y^2 -44x -58y + 71 =0$$. If the slope of the major axis of this ellipse is $$m$$ and the sum of distances of any variable point on the ellipse from its focii is $$c$$, evaluate the value of $$mc^2$$.

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