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In implicit form, the equation is: A x^2 + B x y + C y^2 + D x + E y + F = 0 (although there are varients, e.g. writing 2B instead of B or putting F on the right). For some choices of the coefficients A, B, C, D, E, and F the form is degenerate, in which case the equation may have no solution (e.g. A, B, C, D, E are all zero, F is not) or they may represent one or two lines.

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