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In the given figure, common tangetns AB ...

In the given figure, common tangetns `AB` and `CD` to the two circles with centres `O_(1)` and `O_(2)` intersect at `E`. Prove that `AB=CD`.

Text Solution

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We know that the tangents to a circle from an external point are equal.
`:.AE=CE`, `BE=DE`
`impliesAE+BE=CE+DEimpliesAB=CD`.
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