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.`

There is only _______ tangent drawn at a point on the circle.

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 ?

If the length of a chord of a circle , which makes a angle 45^@ with the tangent drawn at one end point of the chord , is 6 cm , then the radius of the circle is :

Tangents are drawn at extremities AB of a diameter of a circle centred at P. If tangents drawn at a point C on the circle meet the other two tangents respectively at Q and R then measure of angle QPR is

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

Prove that the length of the tangents drawn from an external point to a circle are equal.

Seg AB is a diameter of a circle with centre P. Seg AC is a chord. A secant through P and parallel to seg AC intersects the tangent drawn at C in D. Prove that line DB is a tangent to 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.