Three quadratic equations are given below:
(A) 5x2+5y2−20x+15y+50=0
(B) 4x2+9y2+8x−12y+36=0
(C) −2x2−2y2+4x+6y−3=0
(i) For each equation, determine with proper reasoning whether it represents a circle.
(ii) For every equation that does represent a circle, reduce it to centre–radius form and obtain the centre and radius.
(iii) Compare the areas of any circles obtained in part (ii) and state which one is larger.