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Oxford Entrance Exam Problem 5

Geometry Level 3

The reflection of the point \((1, 0)\) in the line \(y = mx\) has coordinates

\[\left(\frac{m^2+1}{m^2-1},\frac{m}{m^2-1}\right)\] \[(1-m,m)\] \[(1-m^2,m)\] \[\left(\frac{1-m^2}{1+m^2},\frac{2m}{1+m^2}\right)\] \[(1,m)\]

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

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including olympiad champions, researchers, and professionals.

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View solutions

by Andrei Golovanov

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