Why it matters
Substituting a line into a curve produces a quadratic. Its discriminant tells you the geometry: whether the line cuts the curve, touches it (a tangent) or misses it completely.
A-LEVEL•Mathematics•Quadratics•1.4 Where a Line Meets a Curve
Why it matters
Find intersection points of a line and a quadratic curve, and use the discriminant to test for tangency.
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