Click the appropriate answer:

1 A line which intersects a circle in two distinct points is called

tangent secant None

2 A line which passes through two coincident points on a circle is called

tangent secant radius

3 A tangent at any point of a circle is ^ to the radius at the

point of contact any point on the circle None

4 A line drawn through the end of a radius and ^ to it is

diameter tangent None

5 The lengths of two tangents drawn from a external point to a circle are

not equal are equal None

6 The tangents drawn at the end points of a diameter of arc

not parallel parallel are congruent.

7 A circle touches all 4 sides of quadrilateral ABCD, then

AB + CD +BC +DA =0 AB + CD = BC + DA AB + DA = CD + BC

8 The length of a tangent drawn to a circle with radius 5 cm drawn from a point P 13 cm from center of a circle is =

4 15 12

9 PA and PB are tangents from a point P to a circle such that PA = 10 cm and ÐAPB = 60^o, then the length of AB =

8 10 20

10 PA and PB are tangents to a circle from point P if ÐAPB = 50^o, ÐAOB =

40 130 120

11 If ÐAPQ = 20, then ÐPAQ =

100^o 140^o 150^o

12 If ÐOPQ = 20^o then ÐPAQ =

140^o 40^o 50^o

13 The angle between two tangents to a circle is

supplementary supplementary to the angle made by them at the centre complementary

14 The bisectors of Ð between tangents drawn to a circle from an external point

passes through the centre. does not pass through the centre. none of the above.

15 From an external point A, two tangents AP and AQ are drawn to a circle with a centre O, then OA is

perpendicular perpendicular bisector of PQ none

16 The tangents at extremities of any chord make

equal not equal angle with chord equal to radius

17 The segment joining the points of contact of two || tangents

passes does not pass through the centre. Intersects the line.

18 If the tangent is drawn to a circle with centre A and radius 11 cm from a point A at distance 61 cm, then length of tangent segment is

15 60 30

19 AB and CD are || tangents to circle whose centre is O. BD is the third tangent which intersect the || tangent at B and D, then ÐBOD =

60 90 30

20 One circle touching another internally radius of larger is 18 and that of smaller is 5, radius AB of larger circle touches smaller circle in P, then AC =

13 14 15

21 Then AB =

(r + x) Ö(x2 - r2) Ö(x2 + r2)

22 Then TA = TB =

15:7 7:3 3:7

23 Three congruent circles with centres A, B, C and radius 5 cm each, touches each other at D, E, F, then the perimeter DABC =

40 15 30

24 P is the centre of a circle.Three tangents AB, BC, AC of a circle determine right angled triangle at B.If AB = 6, BC = 8 then diameter of circle =

4 2 6

25 The three circles touch each other externally.The lengths of the sides of D obtained by joining their centres are 4, 5, 6, then radii =

(3.5,2.5,1.5) (3,4,6) (2,3,4)

26 Two chords AB and CD of a circle (o,r) intersect at P, then

[PA X PB = PC X PD] PA X PB = PD X PB] [PA X PD = PB X PC]

27 AO = 3.5, OC = 5, DO = 7 then OB =

10 15 20

28 In DABC, AP^BC and BQ^AC which intersect at O, then =

(AO X OQ = BO X OP) (AO X OP = OQ X OB) ( AO X BO = OQ X OP)

29 If AB and CD are chords which intersect externally.If AB = 5, BP = 3, PD = 2, \ CD =

3 4 10

30 AP = 10, PB = 6, PD = 5 then CD =

7 5 12

31 AP = 8, PB = 6, PD = 4, AB & CD intersect internally \ PB =

3 4 6

32 AP = x, CP = 3, PD = 8, PB = 4, then x

8 6 5

33 AB = 8, BP = 6, CD = x, DP = 4 \ Then x =

18 17 15

34 PT = 12, PA = x, AB = 7 then x =

9 12 18

35 ÐABT =

70^o 80^o 90^o

36 ÐSTR =

60^o 50^o 40^o

37 Quadrilateral ABCD is a cyclic quadrilateral. BD is a diameter.PQ is tangent at C then ÐDBC = ?
ÐBCP= ? ÐADB= ?

50^o 40^o 70^o
40^o 60^o 50^o
30^o 60^o 90^o

38 AB and BC are chords. A tangent TBQ at point B.If AC is the diameter and ÐTBA = 40^o. Then ÐBCB =

50^o 60^o 70^o

39 Quadrilateral ABCD is a cyclic quadrilateral.PAQ is tangent at A.If BC || AD and BD diameter ÐBAQ = 30 then

1) ÐA 60 90 40
2) ÐB 90 40 60
3) ÐC 50 60 90
4)ÐD 70 90 100

40 If ÐTPQ = 70^o, then ÐPTQ =

80^o 30^o 40^o

41 If ÐABC = 100^o , then ÐAPC =

30^o 80^o 40^o

42 If the distance between two centres is greater than the sum of their radii the two circles

intersect in two points do not intersect parallel

43 If the distance between2 centres is equal to the sum of radii of two circles then

they touch each other there is no common point

44 If distance between two centres of two circles is equal to the difference between two radii then

they touch internally there is no common point