Find dy/dx when x and y are connected by the relation if ax2 + 2hxy + by2 + 2gx + 2fy + c = 0, then show that dy/dx.dx/dy = 1.

Find dy/dx when x and y are connected by the relation if ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 then show that dy/dx.dx/dy = 1.

We have, ax,2, + 2hxy + by,2, + 2gx + 2fy + c = 0