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5.4.3 Identifying the conics from the general equation of the conic

Chapter 5: Chapter 5 · MATHEMATICS-VOLUME 1 · EN medium

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Ax Bxy Cy Dx Ey F = . The graph of the second degree equation is one of a circle, parabola, an ellipse, a hyperbola, a point, an empty set, a single line or a pair of lines. When, ( ) A C B D h E k F h the general equation reduces to h , which is a circle. ( ) B = and either A or C = , the general equation yields a parabola under study, at this level.

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 206

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Ax Bxy Cy Dx Ey F = . The graph of the second degree equation is one of a circle, parabola, an ellipse, a hyperbola, a point, an empty set, a single line or a pair of lines. When, ( ) A C B D h E k F h the general equation reduces to h , which is a circle. ( ) B = and either A or C = , the general equation yields a parabola under study, at this level.

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