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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Coordinates and Coordinate Geometry > Hyperbola

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Lattice Points

Stage: 5 Challenge Level: Challenge Level:1

Why are there only a few lattice points on a hyperbola and infinitely many on a parabola?

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Conic Sections

Stage: 5

The interplay between the two and three dimensional Euclidean geometry of conic sections is explored in this article. Suitable for students from 16+, teachers and parents.

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Grid Points on Hyperbolas

Stage: 5 Challenge Level: Challenge Level:1

Find a condition which determines whether the hyperbola y^2 - x^2 = k contains any points with integer coordinates.