Reduction to standard forms, classification of conics (ellipse, parabola, hyperbola), and finding centers.
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: Radical axis, coaxial systems of circles, and orthogonal intersections. analytical geometry pn chatterjee pdf link
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Detailed analysis of the equation of a sphere, intersection with lines and planes, and tangent planes. : Radical axis, coaxial systems of circles, and
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Transformation of axes and invariants.