Bézout's Theorem/Examples

Examples of Use of Bézout's Theorem

Parallel Lines

Two parallel straight lines still meet at one point at infinity.


Parabola and Tangent Line

A parabola $\PP$ and a tangent to $\PP$ meet at a point of multiplicity $2$. Two parallel straight lines still meet at one point at infinity.


Conic Sections

Two conic sections meet in at most $4$ points.

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