What is the most motivating way to introduce the sketching of conics which have a cross product terms?(adsbygoogle = window.adsbygoogle || []).push({});

This topic involves a lot of other stuff such as eigenvalues, orthogonal matrices, completing the square etc. I find a significant number of students get lost in this forest of sketching conics. Are there examples which have a real impact and are motivating why they should learn this topic?

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# Sketching conics

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