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TMUAmockz Set 1 Paper 1 · Q9

Paper 1Geometry

A circle centred at AA with radius 1 and a circle centred at BB with radius 9 are externally tangent to one another. A third circle is tangent to both circles and to one of their common external tangents, as shown.

Find the radius of the third circle. Diagram for question 9

A12\dfrac12
B34\dfrac34
C49\dfrac49
D916\dfrac9{16}
E58\dfrac58
F35\dfrac35

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