A chord PQ of a circle is parallel to the tangent drawn at a point R of the circle,Prove that R bisects the arc `PRQ.`

A circle with radius r has a chord PQ whose length is 2a . The tangents drawn at points P and Q to the circle meet at T , what is the length of TP ?

Prove that the tangents drawn at the ends of the diameter of a circle are parallel.

PQ is a diameter of the circle with centre at O. The tangent drawn at C on the circle intersects externded PQ at R. If angle CPO =30^(@), then find the value of angle QCR.

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 tangent drawn at the ends of chord of a circle make equal angle with the chord.

If from any point on the common chord of two intersecting circles, tangents be drawn to the circles, prove that they are equal.

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.

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