Integer intersections and tangents

Integer intersections and tangents
Intersection lines with parabolas and tangents
Parabolas with one intersection
Kissing or mutual tangent a parabola with a maximum and one with a minimum
Kissing or mutual tangent parabolas with different size
Cubic curve with a horizontal bend tangent
The orthogonal hyperbola

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Parabolas with one intersection
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Kissing or mutual tangent parabolas with different size
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Cubic curve with a horizontal bend tangent
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The orthogonal hyperbola
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