What is the locus of the mid-points of all chords of length 6cm within a circle of radius 5cm and with centre 0

A.

A circle of radius 4 cm and with centre O

B.

The perpendicular bisector of the chords

C.

A straight line passing through centre O

D.

A circle of radius 6 cm and with centre O

Correct answer is A

The locus of the mid-point of all chords of length 6cm within a circle of radius 5cm and with centre O is the perpendicular bisectors of the chords.