Two equal chords `A B` and `C D` of a circle with centre `O` , when produced meet at a point `E ,` as shown in Figure, Prove that `B E=D E` and `A E=C Edot`

Two equal chords AB and CD of a circle with centre O, when produced meet at a point E as shown in Figure,Prove that BE=DE and AE=CE.

Two equal chords AB and CD of a circle with centre O, when produced meet at a point E as shown in Figure.Prove that BE=DE and AE=CE.

Two equal chords AB and CD of a circle C(O,r) when produced meet at a point E. Prove that: BE = DE

Two equal chords AB and CD of a circle C(O,r) when produced meet at a point E. Prove that: AE = CE

AB and CD are equal chords of a circle whose centre is O,when produced these chords meet at E,Prove that EB=ED

In Figure, equal chords A B and C D of a circle with centre O , cut at right angles at E . If M and N are mid-point of A B and C D respectively, prove that OMEN is a square.

In Figure, equal chords A B and C D of a circle with centre O , cut at right angles at Edot If M and N are mid-point of A B and C D respectively, prove that OMEN is a square.

If two chords A B and A C of a circle with centre O are such that the centre O lies on the bisector of /_B A C , prove that A B=A C , i.e. the chords are equal.

In a circle with centre O , chords A Ba n dC D intersect inside the circumference at Edot Prove that /_A O C+/_B O D=2/_A E Cdot

In a circle with centre O , chords A B\ a n d\ C D intersect inside the circumference at E . Prove that /_A O C+\ /_B O D=2\ /_A E C