In the given figure, if $$\angle$$ RPS = 25°, the value of $$\angle ROS$$ is

A tangent is drawn from a point at a distance of 17 cm of circle C(0, r) of radius 8 cm. The length of its tangent is

The length of tangents drawn from an external point to the circle

Number of tangents drawn at a point of the circle is/are

The tangents drawn at the extremities of the diameter of a circle are

The length of a tangent drawn from a point at a distance of 10 cm of circle is 8 cm. The radius of the circle is

In given figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 6 cm then the length of BR is

From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is

In the given figure, AB and AC are tangents to the circle with centre O such that $$\angle BAC=40\degree$$ , then $$\angle BOC$$ is equal to

In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then the radius of the circle is

A line through point of contact and passing through centre of circle is known as

C (O, r₁) and C(O, r₂) are two concentric circles with r₁ > r₂ AB is a chord of C(O, r₁) touching C(O, r,₁) at C then

In figure AT is a tangent to the circle with centre O such that OT = 4 cm and $$\angle OTA=30\degree$$ . Then AT is equal to

In figure if O is centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then $$\angle POQ$$ is equal to

In figure, O is the centre of a circle, AB is a chord and AT is the tangent at A. If $$\angle AOB=100\degree$$  , then $$\angle BAT$$ is equal to

Assertion(A): If a Chord AB subtends an angle of 60 degree at the center of a circle, then the angle between the tangents at A and B is 120 degree

Reason(R): In $$\Delta AOB,\ \angle OAB\ is\ 60\degree$$

Assertion(A): In the figure, O is the centre of a circle, PT and PQ are tangents to the circle from an external point P. If $$\angle TPQ=70\degree$$ , then $$\angle TOQ=110\degree$$

Reason(R): The measure of $$\angle TRQ$$ is $$55\degree$$

Assertion(A): The length of the tangent drawn from a point 8cm away from the centre of circle of radius 6cm is $$2\sqrt[]{7}\ cm$$

Reason(R): If the angle between two radii of a circle is $$130\degree$$ , then the angle between the tangents at the end points of radii at their point of intersection is $$50\degree$$

Assertion (A): PQ is a tangent to a circle with centre O at point P. If $$\Delta POQ$$ is an isosceles triangle, then $$\angle OQP=45\degree$$

Reason(R): If two tangents inclined at 60 degree are drawn to a circle of radius 3cm, then the length of each tangent is $$3\sqrt[]{3}\ cm$$