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tmua.fyi Paper 1 Challenge 2 · Q13

Paper 1Geometry

Two circles, of radii 11 and 22, touch each other and both touch the line ℓ\ell. A third circle lies in the region between them, touching both circles and ℓ\ell, as shown. What is its radius? Diagram for question 13

A13\frac13
B25\frac25
C6−426-4\sqrt2
D3−223-2\sqrt2
E29\frac29
F2−1\sqrt2-1
G12\frac12
H23\frac23

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