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Question

In fig.1, if length of AB is 9 cm, then, find the length of CP.
1211388_1afa21f68f684782aa21c875bfce87b3.PNG

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Solution

R.E.F image
CA = CP
(length of tangle from an external point are same)
Similarly CP = CB
(length of tangents from an external point
to a circle are equal)
CA=CP=CB=x (let)
CA+CB=AB=2x=9C.m
x=92c.m
CP=92cm=4.5c.m.

1383082_1211388_ans_85d84dfd22a64db4a82b1dc4f0da4119.PNG

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