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Zetta Paper 1 · Q17

Paper 1Geometry

Three circles of radius ss are drawn in the first quadrant of the xyxy-plane. The first circle is tangent to both axes, the second is tangent to the first circle and the xx-axis, and the third is tangent to the first circle and the yy-axis. A circle of radius r>sr>s is tangent to both axes and to the second and third circles. What is r/sr/s? Diagram for question 17

A55
B66
C88
D99
E1010
F1212

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