Point O is the centre of a circle . Line a and line b are
parallel tangents to the circle at P and Q. Prove that
segment PQ is a diameter of the circle.

In the adjoining figure, point P is the centre of the circle and line AB is the tangent of the circle at T. The radius of the circle is 6 cm. Find PB if /_TPB=60^@

In the given figure , O is the centre of the circle. AB and AC are tangents to the circle such that BA bot CA. Prove that square BACO is a square.

Line PA and line PB are tangents to the circle at points A and B. If /_APB=60^@ ,then find m(arc AXB).

The number of parallel tangents atmost a circle can have on a diameter is

In the adjoining figure, O is the centre of the circle. Seg AB, seg AC are tangent segments. Radius of the circle is r and l(AB) = r. Prove that , square ABOC is a square.

Line PQ is a tangent to the circle at point A, arc AB~=arc AC . Prove that triangle ABC is isosceles triangle.

In the adjoining figure, O is the centre of the circle. From point R, seg RM and RN are tangent segments drawn which touch the circle at M, N. If OR=10 cm, radius of the circle=5 cm, then find m /_MRN

In the adjoining figure, O is the centre of the circle. From point R, seg RM and RN are tangent segments drawn which touch the circle at M, N. If OR=10 cm, radius of the circle=5 cm, then find m /_MRO

Draw a tangent to a circle of radius 3 cm and centre'O' at any point 'K' on the circle.

In the adjoining figure, O is the centre of the circle. From point R, seg RM and RN are tangent segments drawn which touch the circle at M, N. If OR=10 cm, radius of the circle=5 cm, then find the length of each tangent segment.