Question

AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD arediameters, (ii) ABCD is a rectangle

Answer 1

AC and BD are chords of circle.
anyline which is perpendicular and bisects the chord that line will pass through the centre.
BD=diameter and AC=diameter.
In`/_AOB and /_DOC`
OC=OA
OB=OD
`/_AOB=/_DOC`
`/_AOB cong /_DOC`
`/_DAO=/_BCO`
If alternate angle are equal AB||CD and AD||BC
ABCD is a cyclic quadrilateral
ABCD is a rectangle.