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In Fig. 10.61, B D C is a tangent ...

In Fig. 10.61, `B D C` is a tangent to the given circle at point `D` such that `B D=30 c m` and `C D=7c m` . The other tangents `B E` and `C F` are drawn respectively from `B` and `C` to the circle and meet when produced at `A` making `B A C` a right angle triangle. Calculate (i) `A F` (ii) radius of the circle. (FIGURE)

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