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There are 4 NRICH Mathematical resources connected to Conic Sections, you may find related items under Coordinates and Coordinate Geometry.

Broad Topics > Coordinates and Coordinate Geometry > Conic Sections

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Lattice Points

Age 16 to 18 Challenge Level:

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

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Conic Sections

Age 16 to 18

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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Ellipses

Age 14 to 18 Challenge Level:

Here is a pattern for you to experiment with using graph drawing software. Find the equations of the graphs in the pattern.

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Grid Points on Hyperbolas

Age 16 to 18 Challenge Level:

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