Question

AB and CD are two parallel chords and a line l is perpendicular bisector of AB . show l bisects CD

Answer 1

We know that the perpendicular bisector of any chord of a circle always passes through centre of the circle
Since the line is perpendicular bisector of AB therefore line passes through the centre of the circle but line is perpendicular to AB and AB is parallel to CD so the line will be perpendicular to CD
No we know that if a line passing through centre is perpendicular to a chord it will Bisect the chord