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

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.

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

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

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

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

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.