Maths Olympiad Prep

Library / /33 of 44

, 2017

Geometry Difficulty 5.0 AIME, harder Prove it United Kingdom

Four different points AA, BB, CC and DD lie on the curve with equation y=x2y = x^2.

Prove that ABCDABCD is never a parallelogram.

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: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.