How many tangents to this ellipse? (no calculus) @drpeyam
How many tangents to this ellipse? (no calculus)  @drpeyam
Uploaded January 2022 | Updated September 2026, 1 week ago
How many tangent lines are there to two intersecting ellipses? Intuitively there should be four, but why? Here a solution that uses no calculus whatsoever, just pure algebra, suitable for high school and algebra 2 students. It's a very nice application of the quadratic equation, followed by systems of equations. This video was inspired by a TikTok post.

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How many tangents to this ellipse? (no calculus)

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