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Let C be a circle with two diameters int...

Let `C` be a circle with two diameters intersecting at an angle of `30^0dot` A circle `S` is tangent to both the diameters and to `C` and has radius unity. The largest radius of `C` is (a) `1+sqrt(6)+sqrt(2)` (b) `1+sqrt(6)-sqrt(2)` (c) `sqrt(6)+sqrt(2)-11` (d) none of these

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