Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematics Circles

Under which of the following conditions does a general second-degree equation ax2 + 2hxy + by2 +  2gx + 2fy + c = 0 (a ≠ 0) represent a circle?

1
h = g, a = b
2
h = g = f, a = b
3
h = 0, a = b
4
h = 0, g2 + f2 - c = a + b
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