Question

a line is passing through the centre . if it bisects chord AB and CD of circle . prove that AB || CD

Answer 1

let the line be x and y,
if it bisect two lines AB and CD and passing through the center.
then,
the lines AB and CD are cited into two
lines and there mid point be a for AB and b
for CD .
because the line is bisecting the both lines in two lines that's why the line passing through the centre is directly having 90 degree angle with both the lines ab and CD does the lines ab and CD are parallel