Paragraph: Read the following write up carefully and answer the following questions: If a^2+ by ^2+2 hxy +2 gx +2 fy + c =0 represents an ellipse, then h ^2 ab and abc +2 fgh - af ^2- bg ^2- ch ^2 0 . If for every point ( x ₁, y ₁ ) satisfying above equation (2 h-x₁, 2 k-y₁ ) also satisfy it, then (h, k) is centre of it. The length of semi major axis and minor axis is nothing but the maximum and minimum value of the