prove that bisector of two parellel chords passes through the centre
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The perpendicular bisector of any chord passes through the center of the circle. So when you construct the diagram, remember to mark the right angles (∠OAZ and ∠OBX in the diagram).
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1 Answer. Let AB and CD be two parallel chords having P and Q as their mid-points, respectively. Let O be the centre of the circle. Join OP and OQ and draw OX | | AB | | CD.
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