Are all second degree linear equations conic sections?

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1234030

2026-04-01 22:05

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Yes, all second-degree linear equations represent conic sections. These equations can be expressed in the general form (Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0). Depending on the coefficients (A), (B), and (C), the resulting conic can be a circle, ellipse, parabola, or hyperbola. Thus, every second-degree equation corresponds to one of these geometric shapes.

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