Given that hyperbola `xy-2y + 3x =k` is tangent to the ellipse `3x^(2)-12x+2y^(2)+12y+6=0` at two

Given that hyperbola `xy-2y + 3x =k` is tangent to the ellipse `3x^(2)-12x+2y^(2)+12y+6=0` at two points A and B On the bases of above answer the following Product of ordinates of A and B for fixed \'k\' is

`3x^(2)-12x+2y^(2)+12y+6=0`