Maths Olympiad Prep

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Problem 330

Geometry Difficulty 2.0 Prove it CEMC Euclid · Canada · 1998

Two perpendicular lines with xx-intercepts 2-2 and 88 intersect at (0,b)(0,b). Determine all values of bb.

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