Question

Ab and cd are common tangent to circle of unequal radus .prove that ab =cd

Answer 1

Here AB and CD are extended then they are intersecting at P.

Length of two tangents drawn from external point to a circle are equal.

AP = CP ----------(1)
BP = DP ----------(2)

Substracting (2) from (1) we get

AP - BP = CP - DP

∴ AB = CD

Answer 2

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