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Two equal chords AB and CD of a circle w...

Two equal chords `AB` and `CD` of a circle with center `O`, when produced meet at a point `E ,` as shown in Figure, Prove that `BE=DE` and `AE=CE`

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Two equal chords AB and CD of a circle with centre O, when produced meet at a point E as shown in Figure,Prove that BE=DE and AE=CE.

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If two chords AB and AC of a circle with centre O are such that the centre O lies on the bisector of /_BAC, prove that AB=AC, i.e. the chords are equal.

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