Prove that a diameter AB of a circle bisects all the chords drawn from point A...

Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A.

Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle.

Prove that, if a diameter of a circle bisects two chords of the circle then those two chords are parallel to each other.

In the given figure,a diameter PQ of a circle bisects the chord RS at the point O.If PS is prarallel to RQ,prove that RS is also a diameter of the circle.

In the adjoining figure, BD is the diameter of the circle which bisects the chord AC at point E. If AC=8cm , BE=2cm , then find the radius of the circle.

If a diameter of a circle bisects each of the two chords of a circle,prove that the chords are parallel.

If a diameter of a circle bisects each of the two chords of a circle,prove that the chords are parallel.

Prove that the right bisector of a chord of a circle,bisects the corresponding arc or the circle.