Maths Olympiad Prep

Library / /69 of 176

, 1999

Geometry Difficulty 2.0 Junior Prove it Canada

The circle defined by the equation (x+4)2+(y3)2=9(x+4)^2 + (y-3)^2 = 9 is moved horizontally until its centre is on the line x=6x = 6. How far does the centre of the circle move?

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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.