The center of a circle bisects each chord on the circle.
As we know, diameter is the longest chord of a circle.
And a chord which passes through the centre is a diameter.
So, the centre of circle bisect diameter which is also a chord but not all chord is bisected by centre of circle.
Hence, the centre of a circle do not bisect each chord on the circle, it only bisect the longest chord i.e., the diameter of the circle.
Therefore, the given statement is incorrect or false.