Axis intersections of a conic

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We examine the axis intersections of a conic with a general equation:

We see that none of the coordinates contains c the coefficient of the XY term in the conicís equation. Hence any conic with the same equation but a different coefficient of XY will intersect the axes in the same points. Try moving c in the Variables window and notice what happens to the ellipse.

Expressions

Name Input
Point G Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Point D Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Point E Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image
Point F Eq Derive Input Maple Input MathML Input Mathematica Input Maxima Input Mupad Input TI-Nspire Input text Input Image