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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

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

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Excel in math and science

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by Andrei Golovanov

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