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     EduGorilla 
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    The equation ax2 + by2 + 2 hxy + 2 gx + 2 fy + c = 0 represents a circle, only if

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    1. a = b, h = 0
    2. a = b  0, h = 0
    3. a = b 0, h = 0, g2 + f2 - c > 0
    4. a = b 0, h = 0, g2 + f2 - ac > 0
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