Chapter 10 – Circles

Two circle touch each other externally at C and AB is a common tangent to the circles. Then, ∠ACB =

If TP and TQ are two tangents to a circle with centre O so that ∠POQ = 110°, then, ∠PTQ is equal to

Tangents from an external point to a circle are

Two parallel lines touch the circle at points A and B respectively. If area of the circle is 25 n \(cm^{2}\), then AB is equal to

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

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q

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

At point A on a diameter AB of a circle of radius 10 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY at a distance 16 cm from A is

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

A circle is inscribed in a ΔABC having AB = 10cm, BC = 12cm and CA = 8cm and touching these sides at D, E, F respectively. The lengths of AD, BE and CF will be

If four sides of a quadrilateral ABCD are tangential to a circle, then

PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that ∠POR = 120°, then ∠OPQ is

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

The maximum number of common tangents that can be drawn to two circles intersecting at two distinct point is

In a circle of radius 7cm, tangent PT is drawn from point P such that PT = 24cm. If O is the centre of the circle, then the length of OP is:​

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80° then ∠POA is equal to

Segment joining the points of contact of two parallel tangents

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

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

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

21. The distance between two parallel tangents of acircle of radius 4 cm is

22. In the given figure, if ZRPS = 25°, the value of ZROS is

23. 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

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

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

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

27. Tangents from an external point to a circle are

28. 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

29. 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

30. 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