Question

Find the equation of the line tangent to the ellipse b^2*x^2 + a^2*y^2 = a^2*b^2 in the first quadrant that forms with the coordinate axes the triangle of smallest possible area (a & b are positive constants).

Answer 1

You probably already know the answer to it. I'm not helping you just because you want to try to test how smart I am. For that, I won't help anybody like that.