There are 4 NRICH Mathematical resources connected to Conic Sections, you may find related items under Coordinates, Functions and Graphs.Broad Topics > Coordinates, Functions and Graphs > Conic Sections
Why are there only a few lattice points on a hyperbola and infinitely many on a parabola?
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.
Here is a pattern for you to experiment with using graph drawing software. Find the equations of the graphs in the pattern.
Find a condition which determines whether the hyperbola y^2 - x^2 = k contains any points with integer coordinates.