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Prove that the length of the tangents dr...

Prove that the length of the tangents drawn from an external point to a circle are equal.

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Prove that the length of the tangent drawn from an external point to a circle are equal. Using the above, do the following: TP and TQ are tangents from T to the circle with circle O and R in any point on the circle. If AB is a tangent to the circle at R, prove that TA + AR =TB +BR.

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