Library / /49 of 176

, 2006

Geometry Difficulty 2.0 Junior Prove it Canada

Point $A$ is the vertex of the parabola $y = x^2 + 2$ , point $B$ is the vertex of the parabola $y = x^2 - 6x + 7$ , and $O$ is the origin. Determine the area of $\triangle OAB$ .

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.