AP 9th Maths Mock Test 2021 For Chapter – 12 : “Circles” Online Practice Test

1. If two chords \overline{AB} and \overline{CD} are equidistant from a centre and AB = 5 cm then CD = ............... cm
2. The Locus of the points which are equidistant from a fixed point in a plane is called ..................
3. In a circle the distance between the centre and any point on the circle is called
4. The line segments joining any two points in a circle is called
5. The circles whose radius are equal are called
6. A circle with centre 'C' and radius 10 cm , if CP = 12 cm then 'P' lies ........... of the circle
7. A circle with centre 'C' and radius 10 cm , if CQ = 10 cm then 'Q' lies ........... of the circle
8. A circle with centre 'C' and radius 10 cm , If CR = 8 cm then R lies ............. of the circle
9. In the figure 'l' is line intersecting the two concentric circles with centre 'O' at the points A , B , C and D then
10. If AB and CD are two chords of a circle with centre "O' and \angleAOB = \angleCOD then the relation between AB and CD is ..............
11. If the points A , P , B lies on circumference of a circle and \overline{APB} = \overline{BPA} then \overline{APB} subtends angle at the centre is
12. If AOB is diameter of a circle  and C lies on the circumference other than A and B then  \angle ACB =
13. In the figure the value 'x' is ..................
14. In the adjacent figure 'O' is the centre of the circle then the value of x is ...................
15. In the figure AB is a diameter of the circle , CD is a chord equal to the radius of the circle . AC and BD when extended intersects at a point 'P'
\angleCAD = .............
16.  In the figure AB is a diameter of the circle , CD is a chord equal to the radius of the circle . AC and BD when extended intersects at a point 'P'
\angleCPD = .............
17. In the figure AB is a diameter of the circle , CD is a chord equal to the radius of the circle . AC and BD when extended intersects at a point 'P'
\triangleCOD is an ................. triangle
18. The value of 'a' is
19. The value of 'b' is
20. The value of 'c' is
21. 'O' is the circumference of \triangleABC and OD is perpendicular to BC then
i. \angleBOC = \frac{1}{2} \angleBAC
ii. \angleBOC = 2\angleBAC
iii. \angleBOD = \angleA
iv. \angleOBC = \angleOCB
22. From the adjacent figure ,
If 'O' is the centre of circle and \angleACB = 400 then \angleADB = ...........
i. 1800ii. 1400iii. \frac{280^{0}}{2}
iv. 1600
23.
  • Statement I : In the figure the value of 'x' is 2300
  • Statement II : Angle subtended by an arc at centre is half of the angle in remaining part of the circle
24. Statement I : Points lying on the same circle are called concyclic points

Statement II : The angle subtended by a major arc at a centre is > 1800
25. Adjacent figure x =
26. then \angleBAC =
27. then x =
28. then \angleABC =
29. An equilateral triangle ABC is inscribed in a circle with centre 'O' . The measure of \angleBOC is
30. The longest chord in a circle is
31. Here AB is
32. Circle has ......... number of diameters
33. Circle has ......... number of tangents
34. Circle having the same centre but different is called
35. The region between the chord and the minor arc is called
36. The area enclosed by the arc and the two radii joining the centre to the end points of an arc is called a .....................
37. Angle in the major segment of circle is
38. Angle in the minor segment of circle is
39. Number of circles that can be drawn through two non - collinear points are
40. Number of circles that can be drawn through three non - collinear points are
41. Angles in the same segment are
42. Which part of  a circle divides it into two semicircles ?
43. If two areas of circles are congruent then corresponding chords are
44. If AB and CD are two equal chords of a circle with centre 'O'and \angleAPB = 600 then \angleCOD =
45. The value of 'x' where 'O' is the centre of the circle

46. Statement I : In the adjacent figure ACB is 1250Statement II : An angle in a semicircle is a 1800
47. If a parallelogram is cyclic then it is ..................
48. If a rhombus is cyclic then it is ..........
49. If trapezium is cyclic then it is
50. When are two circles said to be concentric ?
51. In a cyclic quadrilateral AB parallel to CD then
52. From the adjacent figure , if 'O' is centre of a circle and \angleAOB = 1100 then \angleACB = ................
53. From the adjacent figure , if 'O' is centre of a circle and \angleACB = 400 then \angleADB = ................
54. In the adjacent figure the value of 'x' is .........
55. The adjacent figure the value of x0 is
56. Segment is a
57. Angles in the same segment are
58. d = 2r , here r is
59. Radius is ........................ the diameter
60. Diameter =
61. Minor arc is defined as
62. Major arc is defined as
63. The combination of two radii divides it in ............................... semi circles
64. AB is
65. The mid point of any diameter of a circle is the
66. A circle divides the plane on which it lies into ........... parts
67. A .............. divided the circle into 2 equal parts
68. The area enclosed by an arc and the two radii joining the centre to the end points of an arc is called a
69. The circle along with its interior is called
70. If three points are collinear , we ............ draw any circle
71. In the figure , 'O' is the centre of the circle . \angleAOB = 1000 find \angleADB
72. In the figure , \angleBAD = 400 then find \angleBCD
73. In the figure , O is the centre of the circle and \anglePOR = 1200 then find \anglePQR
74. In the figure , O is the centre of the circle and \anglePOR = 1200 then find \anglePSR
75. In the figure , 'O' is the centre of the circle . OM = 3 cm and AB = 8 cm . Find the radius of the circle
76. In the figure , 'O' is the centre of the circle . OM = 5 cm and AB = 10 cm . Find the radius of the circle
77. A is the centre of the circle and ABCD is a square . If BD = 4 cm then find the radius of the circle
78. P is the centre of the circle and PQRS is a square . If QS = 10 cm find the radius
79. Chord with equal length are ................................. from the centre
80. In the figure , \angleQPS = 900 then find \angleQRS =

81. Draw two circles passing through A , B where AB = 5.4 cm
  1. They both pass through points A and B
  2. Taking P and Q as centres with radii AP and AQ respectively and draw two circles
  3. Mark any two points say P and Q on the perpendicular bisectors of AB
  4. Draw perpendicular bisectors of AB
  5. Draw line segment AB = 5.4 cm
82. Draw two circles passing through A , B where XY = 2.3 cm
  1. They both pass through points X and Y
  2. Taking P and Q as centres with radii XP and XQ respectively and draw two circles
  3. Mark any two points say P and Q on the perpendicular bisectors of XY
  4. Draw perpendicular bisectors of XY
  5. Draw line segment XY = 2.3 cm
83. Here 'A' is
84. Here 'B' is
85. Points lying on the same circle are called
86. Equal ................. of a circle subtend equal angles at the centre
87. The perpendicular from the centre of a circle to a chord bisects the
88. Arcs of equal length subtends equal angle at the
89. If three points are collinear there exists ........ passing through the points
90. We can draw ...... circle that passes through 3 non - collinear points
91. If two chords  \overline{PQ} and  \overline{RS} are equidistant from a centre and PQ = 10 cm then RS = ........ cm
92. In the figure 'm' is line intersecting the two concentric circles with centre 'O' at the points P , Q , R and S then
93. Name the diagram
94. Here 'o' is
95. Here 'A' is
96. The arc AB is denoted as
97. The diameter of a circle divides circle into two parts . Each part is called
98. Here AOB is
99. Only appeared rainbow is example for
100. The separated part of pizza indicates

 

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