Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

The line joing the points of contact of two parallel tangents to a circle passes through the centre.Prove it.

Prove that the line joining the mid-point of a chord to the centre of the circle passes through the mid-point of the corresponding minor arc.

Prove that the line joining the mid-point of a chovd to the centre of the circle passes through the mid-point of the corresponding minor arc.

prove that the line joining the mid-point of two equal chords of a circle subtends equal angles with the chord.

prove that the line joining the mid-point of two equal chords of a circle subtends equal angles with the chord.

Prove that the line segment joining the points of contact of two parallel tangents passes through the centre.

Prove that the line segment joining the points of contact of two parallel tangents of a circle, passes through its centre.

The line joining the mid-points of two chords of a circle passes through its centre. Prove that the chords are parallel.

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.