{"id":12321,"date":"2024-03-04T10:37:28","date_gmt":"2024-03-04T05:07:28","guid":{"rendered":"https:\/\/tsboardsolutions.in\/?p=12321"},"modified":"2024-03-05T14:20:07","modified_gmt":"2024-03-05T08:50:07","slug":"ts-10th-class-maths-bits-chapter-9","status":"publish","type":"post","link":"https:\/\/tsboardsolutions.in\/ts-10th-class-maths-bits-chapter-9\/","title":{"rendered":"TS 10th Class Maths Bits Chapter 9 Tangents and Secants to a Circle"},"content":{"rendered":"
Solving these\u00a0TS 10th Class Maths Bits with Answers<\/a> Chapter 9 Tangents and Secants to a Circle Bits for 10th Class will help students to build their problem-solving skills.<\/span><\/p>\n Question 1. Question 2. Question 3. <\/p>\n Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. <\/p>\n Question 10. Question 11. Question 12. Question 13. <\/p>\n Question 14. Question 15. Question 16. Question 17. <\/p>\n Question 18. Question 19. Question 20. Question 21. <\/p>\n Question 22. Question 23. Question 24. Question 25. Question 26. <\/p>\n Question 27. Question 28. Question 29. Question 30. <\/p>\n Question 31. Question 32. Question 33. Question 34. <\/p>\n Question 35. Question 36. Question 37. Question 38. Question 39. <\/p>\n Question 40. Question 41. Question 42. Question 43. A) i only <\/p>\n Question 44. Question 45. Question 46. Question 47. <\/p>\n Question 48. Question 49. Question 50. Question 51. <\/p>\n Question 52. Question 53. Question 54. Question 55. <\/p>\n Question 56. Question 57. Question 58. Question 59. <\/p>\n Question 60. Question 61. Question 62. Question 63. <\/p>\n Question 64. Question 65. Question 66. Question 67. <\/p>\n Question 68. Question 69. Question 70. Question 71. <\/p>\n Question 72. Question 73. Question 74. Question 75. <\/p>\n Question 76. Question 77. Question 78. Question 79. <\/p>\n Question 80. Question 81. Question 82. Question 83. <\/p>\n Question 84. Question 85. Question 86. Question 87. <\/p>\n Question 88. Question 89. Question 90. Question 91. <\/p>\n Question 92. Question 93. Question 94. <\/p>\n Question 95. Question 96. Question 97. Question 98. Question 99. <\/p>\n Question 100. Question 101. Question 102. <\/p>\n Question 103. Question 104. Question 105. Question 106. <\/p>\n Question 107. Question 108. Question 109. Question 110. <\/p>\n Question 111. Question 112. Question 113. Question 114. <\/p>\n Question 115. Question 116. Question 117. Question 118. <\/p>\n Question 119. Question 120. Question 121. Question 122. Question 123. Question 124. <\/p>\n Question 125. Solving these\u00a0TS 10th Class Maths Bits with Answers Chapter 9 Tangents and Secants to a Circle Bits for 10th Class will help students to build their problem-solving skills. Tangents and Secants to a Circle Bits for 10th Class Question 1. The angle between the tangent to a circle and the radius drawn through the point … Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/12321"}],"collection":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/comments?post=12321"}],"version-history":[{"count":1,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/12321\/revisions"}],"predecessor-version":[{"id":12420,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/posts\/12321\/revisions\/12420"}],"wp:attachment":[{"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/media?parent=12321"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/categories?post=12321"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tsboardsolutions.in\/wp-json\/wp\/v2\/tags?post=12321"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Tangents and Secants to a Circle Bits for 10th Class<\/h2>\n
\nThe angle between the tangent to a circle and the radius drawn through the point of contact is
\nA) 90\u00b0
\nB) 60\u00b0
\nC) 45\u00b0
\nD) 30\u00b0
\nAnswer:
\nA) 90\u00b0<\/p>\n
\nFrom a point P, length of the tangent to a circle is 12 cm and the distance of P from the centre is 13 cm. then the radius of circle is
\nA) 7 cm
\nB) 6 cm
\nC) 5 cm
\nD) 12.5 cm
\nAnswer:
\nC) 5 cm<\/p>\n
\nIf the tangents PA and PB from a point P to a circle with centre ‘O’ are inclined to each other at an angle of 80\u00b0 then \u2220POA = …………..
\nA) 50\u00b0
\nB) 60\u00b0
\nC) 70\u00b0
\nD) 80\u00b0
\nAnswer:
\nA) 50\u00b0<\/p>\n
\nIf TP and TQ are two tangents to a circle with centre ‘O’ so that \u2220POQ = 110\u00b0, then \u2220PTQ =
\nA) 60\u00b0
\nB) 70\u00b0
\nC) 80\u00b0
\nD) 90\u00b0
\nAnswer:
\nB) 70\u00b0<\/p>\n
\nIn the adjacent figure, if quadrilateral PQRS circumscribes a circle then PB + SD = ………………
\n
\nA) SR
\nB) PR
\nC) QS
\nD) PS
\nAnswer:
\nD) PS<\/p>\n
\nIn the adjacent figure, APB is a tangent to the circle with centre ‘O’ at a point P. If \u2220QPB = 50\u00b0 then the measure of \u2220POQ =
\nA) 25\u00b0
\nB) 75\u00b0
\nC) 100\u00b0
\nD) 120\u00b0
\n
\nC) 100\u00b0<\/p>\n
\nIn the adjacent figure AB, BC and AC of a triangle ABC, touch a circle at P, Q and R respectively. If PA = 4 cm, BP = 6 cm and AC = 11cm then length of BC =
\nA) 15 cm
\nB) 14 cm
\nC) 7 cm
\nD) 10 cm
\n
\nAnswer:
\nD) 10 cm<\/p>\n
\nIn the adjacent figure, if BP = 5 cm, QC = 7 cm and AR = 6 cm then AB + BC + AC =
\nA) 18 cm
\nB) 36 cm
\nC) 25 cm
\nD) 30 cm
\n
\nAnswer:
\nB) 36 cm<\/p>\n
\nThe length of the tangent drawn from a point 17 cm away from the centre of a circle of radius 8 cm is
\nA) 25 cm
\nB) 9 cm
\nC) 15 cm
\nD) 8.5 cm
\nAnswer:
\nC) 15 cm<\/p>\n
\nIn the adjacent figure, the length of the chord AB if PA = 6 cm and \u2220PAB = 60\u00b0 is
\nA) 5 cm
\nB) 6 cm
\nC) 7 cm
\nD) 4 cm
\n
\nAnswer:
\nB) 6 cm<\/p>\n
\nA line which intersects a circle in two points is called
\nA) a secant
\nB) a tangent
\nC) a chord
\nD) an arc
\nAnswer:
\nA) a secant<\/p>\n
\nThe number of tangents that can be drawn to a circle at any point on it is
\nA) 2
\nB) 1
\nC) 3
\nD) infinetly many
\nAnswer:
\nB) 1<\/p>\n
\nThe number of parallel tangents that can be drawn to a circle can have at the most is
\nA) 1
\nB) 2
\nC) 3
\nD) 4
\nAnswer:
\nB) 2<\/p>\n
\nThe number of tangents that can be drawn to a circle from outside the circles is
\nA) 2
\nB) 1
\nC) infinetly many
\nD) 4
\nAnswer:
\nA) 2<\/p>\n
\nTwo concentric circles of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle
\nA) 10 cm
\nB) 6 cm
\nC) 8 cm
\nD) 2 cm
\nAnswer:
\nC) 8 cm<\/p>\n
\nLength of the arc of a quadrant of a circle of radius ‘r’ is
\nA) \u03c0r
\nB) 3\u03c0r
\nC) \\(\\frac{\\pi \\mathrm{r}}{2}\\) + 2r
\nD) \\(\\frac{\\pi \\mathrm{r}}{2}\\)
\nAnswer:
\nD) \\(\\frac{\\pi \\mathrm{r}}{2}\\)<\/p>\n
\nThe length of the arc A \u00d7 B in the adjacent figure is
\nA) 11 cm
\nB) 22 cm
\nC) 33 cm
\nD) 44 cm
\n
\nAnswer:
\nB) 22 cm<\/p>\n
\nThe area of a sector of a circle of radius 7 cm and central angle 45\u00b0 is
\nA) 5.5 cm2<\/sup>
\nB) 19.25 cm2<\/sup>
\nC) 154 cm2<\/sup>
\nD) 77 cm2<\/sup>
\nAnswer:
\nB) 19.25 cm2<\/sup><\/p>\n
\nThe measure of central angle of a circle
\nA) 90\u00b0
\nB) 180\u00b0
\nC) 170\u00b0
\nD) 360\u00b0
\nAnswer:
\nD) 360\u00b0<\/p>\n
\nIn the adjacent figure, ‘O’ is the centre of the circle. The area of the sector OAPB is \\(\\frac{5}{18}\\) part of the area of the circle. Then the value
\nA) 30\u00b0
\nB) 60\u00b0
\nC) 45\u00b0
\nD) 100\u00b0
\n
\nAnswer:
\nD) 100\u00b0<\/p>\n
\nA tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm, then PQ =
\nA) \\(\\sqrt{79}\\)
\nB) \\(\\sqrt{119}\\)
\nC) 119
\nD) 169
\nAnswer:
\nB) \\(\\sqrt{119}\\)<\/p>\n
\nThe number of parallel tangents of a circle with a given tangent is
\nA) 1
\nB) 2
\nC) 3
\nD) 4
\nAnswer:
\nA) 1<\/p>\n
\nThe length of the tangent drawn from an exterior point is 8 cm away from the centre of a circle of radius 6 cm is
\nA) 8 cm
\nB) 10 cm
\nC) 6 cm
\nD) 12 cm
\nAnswer:
\nB) 10 cm<\/p>\n
\nIn the figure x = ………………
\n
\nA) 60\u00b0
\nB) 100\u00b0
\nC) 110\u00b0
\nD) 120\u00b0
\nAnswer:
\nD) 120\u00b0<\/p>\n
\nThe semi perimeter of \u2206ABC = 28 cm then AF + BD + EC is …………………..
\n
\nA) 23 cm
\nB) 28 cm
\nC) 56 cm
\nD) 14 cm
\nAnswer:
\nB) 28 cm<\/p>\n
\nThe length of the drawn from a point 8 cm away from the centre of circle with radius 6 cm is
\nA) 2\\(\\sqrt{7}\\) cm
\nB) 3\\(\\sqrt{7}\\) cm
\nC) \\(\\sqrt{7}\\) cm
\nD) 10 cm
\nAnswer:
\nA) 2\\(\\sqrt{7}\\) cm<\/p>\n
\nIn the figure ‘O’ is the centre of the circle and PA, PB are tangents, then their lengths are,
\n
\nA) 5 cm, 13 cm
\nB) 13 cm, 13 cm
\nC) 13 cm, 12 cm
\nD) 12 cm, 12 cm
\nAnswer:
\nD) 12 cm, 12 cm<\/p>\n
\nAngle in a major segment is
\nA) an obtuse angle
\nB) an acute angle
\nC) right angle
\nD) none
\nAnswer:
\nB) an acute angle<\/p>\n
\nThe length of the tangent drawn to a circle with radius ‘r’ from a point P which is ‘d’ units from the centre is
\nA) \\(\\sqrt{d^2-r^2}\\)
\nB) \\(\\sqrt{r^2+d^2}\\)
\nC) \\(\\sqrt{d r}\\)
\nD) \\(\\sqrt{d + r}\\)
\nAnswer:
\nA) \\(\\sqrt{d^2-r^2}\\)<\/p>\n
\nIf the arc is a minor arc then the segment is a …………………. segment
\nA) Minor
\nB) Major
\nC) Semi-circle
\nD) None
\nAnswer:
\nA) Minor<\/p>\n
\nThe radius of a circle is equal to the sum of the circumferences of two circles of diameters 36 cm and 20 cm is ……………
\nA) 16 cm
\nB) 28 cm
\nC) 42 cm
\nD) 56 cm
\nAnswer:
\nB) 28 cm<\/p>\n
\nIf tangents PA and PB from a point P to a circle with centre ‘O’ are inclined to each other at an angle of 110\u00b0 then \u2220PAO =
\nA) 45\u00b0
\nB) 50\u00b0
\nC) 70\u00b0
\nD) 35\u00b0
\nAnswer:
\nD) 35\u00b0<\/p>\n
\nHow many tangent lines can be drawn to a circle from a point outside the circle ?
\nA) 1
\nB) 4
\nC) 2
\nD) none
\nAnswer:
\nB) 4<\/p>\n
\nIn the given figure \u2220APB = 60\u00b0 and OP = 10 cm. then PA = …………….. cm. (A.P. Mar. ’16, ’15)
\n
\nA) 5
\nB) 5\\(\\sqrt{2}\\)
\nC) 5\\(\\sqrt{3}\\)
\nD) 20
\nAnswer:
\nC) 5\\(\\sqrt{3}\\)<\/p>\n
\nThe maximum number of possible tangents that can be drawn to a circle is ……………. (A.P. Mar. ’15)
\nA) infinity
\nB) 2
\nC) 4
\nD) 1
\nAnswer:
\nA) infinity<\/p>\n
\nThe angle between the tangent and the radius drawn at the point of contact is ………………. (A.P. June ’15)
\nA) 60\u00b0
\nB) 30\u00b0
\nC) 45\u00b0
\nD) 90\u00b0
\nAnswer:
\nD) 90\u00b0<\/p>\n
\nIf a circle is inscribed in a Quadrilateral then AB + CD = …………….. (A.P. June ’15)
\nA) BC + DA
\nB) AC + BD
\nC) 2AC + 2BD
\nD) 2BC + 2DA
\nAnswer:
\nA) BC + DA<\/p>\n
\nIn the adjoint figure AC = 5, So BC = ………………… cm. (A.P. June ’15)
\n
\nA) 5 cm
\nB) 7.5 cm
\nC) 2.5 cm
\nD) 10 cm
\nAnswer:
\nC) 2.5 cm<\/p>\n
\nThe angle made at the centre of a circle is ………………. (A.P. Mar. ’16)
\nA) 360\u00b0
\nB) 90\u00b0
\nC) 280\u00b0
\nD) 60\u00b0
\nAnswer:
\nA) 360\u00b0<\/p>\n
\nThe number of secants that can be drawn to a circle is ………………… (T.S. Mar. ’16)
\nA) 2
\nB) 1
\nC) infinity
\nD) 0
\nAnswer:
\nC) infinity<\/p>\n
\nThe diameter of a circle is 10.2 cm then its radius is ……………… cm. (A.P. Mar. ’16)
\nA) 5.1 cm
\nB) 20.4
\nC) 10.5
\nD) 15.3
\nAnswer:
\nA) 5.1 cm<\/p>\n
\nIf \u2018r\u2019 is the radius of a semi-circle then its perimeter is ………………….
\nA) \u03c0r + 2r (or) r[\u03c0 + 2] (or) \\(\\frac{36}{7}\\) r
\nB) \u03c0r + r
\nC) \u03c0r + 3r
\nD) \u03c0r
\nAnswer:
\nA) \u03c0r + 2r (or) r[\u03c0 + 2] (or) \\(\\frac{36}{7}\\) r<\/p>\n
\nWhich of the following is not correct? (A.P. Mar. ’16 )
\ni) Maximum possible tangents that can be drawn to a circle from a point \u2018p\u2019 is 2.
\nii) The number of secants drawn to a circle from a point at exterior is 2.<\/p>\n
\nB) ii only
\nC) i and ii
\nD) neither (i) nor (ii)
\nAnswer:
\nA) i only<\/p>\n
\nIn the figure PT is a tangent to the circle with centre O\u2019 then x = ………………….
\n
\nA) 148\u00b0
\nB) 58\u00b0
\nC) 52\u00b0
\nD) 42\u00b0
\nAnswer:
\nD) 42\u00b0<\/p>\n
\nAngle in a major segment is …………………
\nA) an obtuse angle
\nB) an acute angle
\nC) right angle
\nD) none
\nAnswer:
\nB) an acute angle<\/p>\n
\nIn the figure PT is a tangent drawn from P. If the radius is 7 cm and OP is 25 cm, then the length of the tangent is ………………. cm.
\n
\nA) 18
\nB) 20
\nC) 24
\nD) 26
\nAnswer:
\nC) 24<\/p>\n
\nPQ is the chord of a circle. The tangent XR drawn at X meets PQ at R when produced. If XR = 12 cm, PQ = x cm, QR = (x – 2) cm. then x = ………………..
\nA) 6 cm
\nB) 7 cm
\nC) 14 cm
\nD) 10 cm
\nAnswer:
\nD) 10 cm<\/p>\n
\nThe angle between the tangent to a circle and the radius drawn through the point of contact is ………………
\nA) 90\u00b0
\nB) 60\u00b0
\nC) 45\u00b0
\nD) 30\u00b0
\nAnswer:
\nA) 90\u00b0<\/p>\n
\nTwo circles intersect at A, B, PS, PT are two tangents drawn from P which lies on AB to the two circles, then ……………..
\n
\nA) PS = 2PT
\nB) PT = 2PS
\nC) PS = PT
\nD) PS \u2260 PT
\nAnswer:
\nC) PS = PT<\/p>\n
\nIn the figure AB is a diameter and AC is chord of the circle such that \u2220BAC = 30\u00b0. If DC is a tangent, then ABCD is ……………..
\nA) isosceles
\nB) equilateral
\nC) right angled
\nD) acute angled
\nAnswer:
\nA) isosceles<\/p>\n
\nTo draw a pair of tangents to a circle which are inclined to each other at an angle of 60\u00b0 it is required to draw the tangents at the end points of two radii inclined at an angle of ……………….
\nA) 30\u00b0
\nB) 60\u00b0
\nC) 90\u00b0
\nD) 120\u00b0
\nAnswer:
\nD) 120\u00b0<\/p>\n
\nIf the radii of two concentric circles are 5 cm and 13 cm then the length of the chord of one circle which is tangent to the other circle is ……………
\nA) 24 cm
\nB) 18 cm
\nC) 12 cm
\nD) 6 cm
\nAnswer:
\nA) 24 cm<\/p>\n
\nIf tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 110\u00b0 then \u2220PAO = …………….
\nA) 45\u00b0
\nB) 50\u00b0
\nC) 70\u00b0
\nD) 35\u00b0
\nAnswer:
\nD) 35\u00b0<\/p>\n
\nIn a right triangle ABC, right angled at B, BC = 15 cm and AB = 8 cm. A circle is inscribed in the triangle ABC. The radius of the circle is ……………..
\nA) 1cm
\nB) 3 cm
\nC) 5 cm
\nD) 2 cm
\nAnswer:
\nB) 3 cm<\/p>\n
\nThree circles are drawn with the vertices of a triangle as centres such that each circle touches the other two. If the sides of the triangle are 2 cm, 3 cm, 4 cm find the diameter of the smallest circle.
\nA) 4 cm
\nB) 2 cm
\nC) 1 cm
\nD) 5 cm
\nAnswer:
\nC) 1 cm<\/p>\n
\nA circle may have ……………… parallel tangents atmost.
\nA) 10
\nB) 12
\nC) 9
\nD) 2
\nAnswer:
\nD) 2<\/p>\n
\nA tangent to a circle intersects it in ………………. point(s).
\nA) 1
\nB) 2
\nC) 3
\nD) 4
\nAnswer:
\nA) 1<\/p>\n
\nA line segment joining any point on a circle is called its ………………..
\nA) diameter
\nB) tangent
\nC) chord
\nD) none
\nAnswer:
\nC) chord<\/p>\n
\nA line which intersects the given circle at two distinct points is called a ……………….
\nA) tangent
\nB) secant
\nC) circle
\nD) centre
\nAnswer:
\nB) secant<\/p>\n
\nThe common point to a tangent and a circle is called …………………
\nA) point of contact
\nB) circle
\nC) tangent
\nD) none
\nAnswer:
\nA) point of contact<\/p>\n
\nAngle between the tangent and radius drawn through the point of contact is ……………..
\nA) 100\u00b0
\nB) 70\u00b0
\nC) 80\u00b0
\nD) 90\u00b0
\nAnswer:
\nD) 90\u00b0<\/p>\n
\nThe circumference of a circle is 100 cm. The side of a square inscribed in the circle is ……………… cm.
\nA) \\(\\frac{1}{\\pi}\\)
\nB) \\(\\frac{5 \\sqrt{2}}{\\pi}\\)
\nC) \\(\\frac{50 \\sqrt{2}}{\\pi}\\)
\nD) 50\\(\\sqrt{2}\\)
\nAnswer:
\nC) \\(\\frac{50 \\sqrt{2}}{\\pi}\\)<\/p>\n
\nThe area of a square inscribed in a circle of radius 8 cm is …………………… cm2<\/sup>.
\nA) 118
\nB) 129
\nC) 160
\nD) 128
\nAnswer:
\nD) 128<\/p>\n
\nThe area of a circle that can be inscribed in a square of side 6 cm is …………………… cm2<\/sup>.
\nA) 9\u03c0
\nB) 12\u03c0
\nC) 120\u03c0
\nD) none
\nAnswer:
\nA) 9\u03c0<\/p>\n
\nThe perimeter of a quadrant of a circle of radius \\(\\frac{7}{2}\\) cm is …………………. cm.
\nA) 9.5
\nB) 12.5
\nC) 10.5
\nD) 2
\nAnswer:
\nB) 12.5<\/p>\n
\nThe number of tangents at one point of a circle is ………………..
\nA) 1
\nB) 2
\nC) 3
\nD) 10
\nAnswer:
\nA) 1<\/p>\n
\nNumber of tangents to a circle which are parallel to a secant are …………………
\nA) 1
\nB) 10
\nC) 9
\nD) 2
\nAnswer:
\nD) 2<\/p>\n
\n………………. tangent can be drawn from a point inside a circle.
\nA) No
\nB) 1
\nC) 4
\nD) None
\nAnswer:
\nA) No<\/p>\n
\nA line which is perpendicular to the radius of the circle through the point of contact is called a …………………..
\nA) secant
\nB) tangent
\nC) chord
\nD) none
\nAnswer:
\nB) tangent<\/p>\n
\nThe tangents drawn at the ends of a diameter are ………………
\nA) parallel
\nB) 0
\nC) perpendicular
\nD) none
\nAnswer:
\nB) 0<\/p>\n
\nThe tangent drawn at the end point of radius is ………………….
\nA) 0
\nB) parallel
\nC) perpendicular
\nD) none
\nAnswer:
\nC) perpendicular<\/p>\n
\nTangents drawn from an exterior point are ……………..
\nA) not equal
\nB) parallel
\nC) equal
\nD) none
\nAnswer:
\nC) equal<\/p>\n
\nA secant meets a circle in ……………… points.
\nA) 2
\nB) 4
\nC) 3
\nD) 1
\nAnswer:
\nA) 2<\/p>\n
\nA tangent meets a circle in ……………… points.
\nA) 10
\nB) 9
\nC) 7
\nD) 1
\nAnswer:
\nD) 1<\/p>\n
\nSum of the central angles in a circle is ………………..
\nA) 360\u00b0
\nB) 300\u00b0
\nC) 180\u00b0
\nD) 110\u00b0
\nAnswer:
\nA) 360\u00b0<\/p>\n
\nAngle is a semi-circle at the centre is …………………….
\nA) 100\u00b0
\nB) 180\u00b0
\nC) 200\u00b0
\nD) 80\u00b0
\nAnswer:
\nB) 180\u00b0<\/p>\n
\nFrom the figure, x = ……………… cm.
\n
\nA) 8.4
\nB) 8.8
\nC) 4.8
\nD) 4
\nAnswer:
\nC) 4.8<\/p>\n
\nAngle in a semi-circle is ……………..
\nA) 80\u00b0
\nB) 90\u00b0
\nC) 100\u00b0
\nD) 110\u00b0
\nAnswer:
\nB) 90\u00b0<\/p>\n
\nNumber of tangents drawn to a circle is ……………….
\nA) 1
\nB) 4
\nC) 3
\nD) infinite
\nAnswer:
\nD) infinite<\/p>\n
\nIn the figure, x = ……………….. cm.
\n
\nA) 5
\nB) 6
\nC) 8.2
\nD) 10
\nAnswer:
\nA) 5<\/p>\n
\nAngle in a minor segment is ………………
\nA) acute
\nB) 60\u00b0
\nC) obtuse
\nD) none
\nAnswer:
\nC) obtuse<\/p>\n
\nIn a circle d = 10.2 cm then r = …………… cm.
\nA) 4.1
\nB) 5.1
\nC) 4.6
\nD) 5.6
\nAnswer:
\nB) 5.1<\/p>\n
\nThe longest chord in a circle is ……………..
\nA) diameter
\nB) radius
\nC) chords
\nD) none
\nAnswer:
\nA) diameter<\/p>\n
\nCircles having same centre are called ……………. circles.
\nA) triangle
\nB) concentric
\nC) trapezium
\nD) none
\nAnswer:
\nB) concentric<\/p>\n
\nCircles having same radii are ………………
\nA) congruent
\nB) not congruent
\nC) only similar
\nD) none
\nAnswer:
\nA) congruent<\/p>\n
\nArea of circle is ………….. sq. units.
\nA) \\(\\frac{\\pi}{\\mathrm{r}^2}\\)
\nB) \u03c0r3<\/sup>
\nC) \u03c0r2<\/sup>
\nD) \u03c02<\/sup>r2<\/sup>
\nAnswer:
\nC) \u03c0r2<\/sup><\/p>\n
\nThe shaded portion represents ……………….
\n
\nA) minor segment
\nB) major segment
\nC) chord
\nD) none
\nAnswer:
\nA) minor segment<\/p>\n
\nArea of semi-circle is ……………….
\nA) \u03c0r2<\/sup>
\nB) \u03c02<\/sup> r
\nC) \\(\\frac{\\pi \\mathrm{r}^2}{2}\\)
\nD) \u03c0r
\nAnswer:
\nC) \\(\\frac{\\pi \\mathrm{r}^2}{2}\\)<\/p>\n
\nNumber of circle passing through 3 collinear points in a plane is ……………….
\nA) 1
\nB) 0
\nC) 9
\nD) 12
\nAnswer:
\nB) 0<\/p>\n
\nSum of opposite angles in a cyclic quadrilateral is …………….
\nA) 100\u00b0
\nB) 180\u00b0
\nC) 190\u00b0
\nD) 200\u00b0
\nAnswer:
\nB) 180\u00b0<\/p>\n
\nCyclic rhombus is a ………………
\nA) rhombus
\nB) parallelogram
\nC) triangle
\nD) none
\nAnswer:
\nA) rhombus<\/p>\n
\nIn the figure, \u2220BAC = ………………
\n
\nA) 90\u00b0
\nB) 70\u00b0
\nC) 30\u00b0
\nD) none
\nAnswer:
\nC) 30\u00b0<\/p>\n
\nArea of sector = ……………….
\nA) \\(\\frac{x^{\\circ}}{360}\\) \u00d7 \u03c0r2<\/sup>
\nB) \\(\\frac{x^{\\circ}}{360}\\) \u00d7 2\u03c0r
\nC) lb
\nD) none
\nAnswer:
\nA) \\(\\frac{x^{\\circ}}{360}\\) \u00d7 \u03c0r2<\/sup><\/p>\n
\nArea of ring = ……………….
\nA) \u03c0(R2<\/sup> – r2<\/sup>)
\nB) \u03c0(R – r)
\nC) R2<\/sup> – r2<\/sup>
\nD) \u03c0(R2<\/sup> – r2<\/sup> + 2r)
\nAnswer:
\nA) \u03c0(R2<\/sup> – r2<\/sup>)<\/p>\n
\nSide of a square is 4 cm then A = ……………….. cm2<\/sup>.
\nA) 64
\nB) 12
\nC) 16
\nD) 20
\nAnswer:
\nC) 16<\/p>\n
\nDiameter of a circle passes through ……………
\nA) equal
\nB) point
\nC) centre
\nD) none
\nAnswer:
\nC) centre<\/p>\n
\nThe shaded portion represents …………… segment.
\n
\nA) major
\nB) minor
\nC) acute
\nD) none
\nAnswer:
\nA) major<\/p>\n
\nWhich of the following is a semicircle ?
\n
\nAnswer:
\n(A)<\/p>\n
\nAngles in the same segment of the circle ………………
\nA) 30\u00b0
\nB) equal
\nC) not equal
\nD) none
\nAnswer:
\nB) equal<\/p>\n
\nIn the figure, x\u00b0 = …………
\n
\nA) 30\u00b0
\nB) 110\u00b0
\nC) 60\u00b0
\nD) none
\nAnswer:
\nD) none<\/p>\n
\nIn the figure, x = …………………
\n
\nA) 20\u00b0
\nB) 90\u00b0
\nC) 60\u00b0
\nD) 80\u00b0
\nAnswer:
\nC) 60\u00b0<\/p>\n
\nArea of triangle = ………………. sq.units.
\nA) bh
\nB) \\(\\frac{1}{2}\\)bh
\nC) \\(\\frac{\\mathrm{b}+\\mathrm{h}}{2}\\)
\nD) none
\nAnswer:
\nB) \\(\\frac{1}{2}\\)bh<\/p>\n
\nArea of square whose is 3 cm in …………………… cm2<\/sup>.
\nA) 6
\nB) 12
\nC) 10
\nD) 9
\nAnswer:
\nD) 9<\/p>\n
\nArea of circle with radius r = …………………
\nA) \u03c0r4<\/sup>
\nB) \u03c0r
\nC) \u03c0r2<\/sup>
\nD) \\(\\frac{\\pi}{2}\\)
\nAnswer:
\nC) \u03c0r2<\/sup><\/p>\n
\nThe area of square is 49 cm2<\/sup> then side is …………….. cm.
\nA) 12
\nB) 6
\nC) 8
\nD) 7
\nAnswer:
\nD) 7<\/p>\n
\nIn the above problem perimeter = ……………. cm.
\nA) 19
\nB) 16
\nC) 28
\nD) none
\nAnswer:
\nC) 28<\/p>\n
\nAngle made by minute hand in 1 m = ………………..
\nA) 6\u00b0
\nB) 12\u00b0
\nC) 10\u00b0
\nD) none
\nAnswer:
\nA) 6\u00b0<\/p>\n
\nx\u00b0 = 60\u00b0, r = 14 cm then area of sector = ………………. cm2<\/sup>.
\nA) 100.6
\nB) 102.66
\nC) 811.6
\nD) none
\nAnswer:
\nB) 102.66<\/p>\n
\nArea of regular hexagon of side ‘a’ units is ……………… sq. units.
\nA) \\(\\frac{6 \\sqrt{3}}{4}\\)a2<\/sup>
\nB) \\(\\frac{6 \\sqrt{3}}{7}\\)a2<\/sup>
\nC) \\(\\frac{6}{7} \\sqrt{3}\\)a2<\/sup>
\nD) none
\nAnswer:
\nA) \\(\\frac{6 \\sqrt{3}}{4}\\)a2<\/sup><\/p>\n
\nParallelogram circumscribing a circle is a ……………
\nA) parallelogram
\nB) rhombus
\nC) circle
\nD) none
\nAnswer:
\nB) rhombus<\/p>\n
\nIn the figure, XY and X1<\/sup>Y1<\/sup> are two parallel tangents to a circle with centre ‘O’ and another tangent AB with point of contact C intersecting XY at A and X1<\/sup>Y1<\/sup> at B then \u2220AOB = ………………..
\n
\nA) 75\u00b0
\nB) 95\u00b0
\nC) 70\u00b0
\nD) 90\u00b0
\nAnswer:
\nD) 90\u00b0<\/p>\n
\nThe angle between a tangent to a circle and the radius drawn at the point of contact is ……………….
\nA) 60\u00b0
\nB) 70\u00b0
\nC) 90\u00b0
\nD) 20\u00b0
\nAnswer:
\nC) 90\u00b0<\/p>\n
\nIf AP and AQ are the two tangents to a circle with centre ‘O’. So that POQ = 110\u00b0 then \u2220PAQ = ……………..
\n
\nA) 70\u00b0
\nB) 60\u00b0
\nC) 65\u00b0
\nD) 75\u00b0
\nAnswer:
\nA) 70\u00b0<\/p>\n
\nArea of circle interms of diameter is ……………..
\nA) \\(\\frac{\\pi \\mathrm{d}^2}{4}\\)
\nB) \u03c0r2<\/sup>
\nC) \\(\\frac{\\pi \\mathrm{d}^2}{14}\\)
\nD) all
\nAnswer:
\nA) \\(\\frac{\\pi \\mathrm{d}^2}{4}\\)<\/p>\n
\nIn the figure, AP = 12 cm, PB = 16 cm and \u03c0 = 3.14 then perimeter of shaded region is …………………… cm.
\n
\nA) 51
\nB) 70
\nC) 58
\nD) 68
\nAnswer:
\nC) 58<\/p>\n
\nA bicycle wheel makes 75 revolutions per minute to maintain a speed of 8.91 km per hour then diameter of the wheel is ………………. m.
\nA) 6.3
\nB) 0.63
\nC) 8.1
\nD) none
\nAnswer:
\nB) 0.63<\/p>\n
\nAngle described by hour hand in 12 hours is ………………….
\nA) 90\u00b0
\nB) 200\u00b0
\nC) 360\u00b0
\nD) 180\u00b0
\nAnswer:
\nC) 360\u00b0<\/p>\n
\nEach angle in a square is …………….
\nA) 85\u00b0
\nB) right angle
\nC) 60\u00b0
\nD) 70\u00b0
\nAnswer:
\nB) right angle<\/p>\n
\nIn the figure, the area of shaded region is ……………… cm2<\/sup>.
\n
\nA) 74
\nB) 60
\nC) 82
\nD) 42
\nAnswer:
\nD) 42<\/p>\n
\nPerimeter of semicircle is ………… units.
\nA) \\(\\frac{36 \\mathrm{r}}{7}\\)
\nB) \\(\\frac{18}{7}\\)r
\nC) \\(\\frac{9}{17}\\)r
\nD) none
\nAnswer:
\nA) \\(\\frac{36 \\mathrm{r}}{7}\\)<\/p>\n
\nIn the figure the relation among a, b and c is ………………
\n
\nA) c2<\/sup> = a2<\/sup> + b2<\/sup>
\nB) c2<\/sup> – a2<\/sup> = 2b2<\/sup>
\nC) c2<\/sup> + b2<\/sup> = a2<\/sup>
\nD) all
\nAnswer:
\nA) c2<\/sup> = a2<\/sup> + b2<\/sup><\/p>\n
\nIn the figure, a = ……………….
\n
\nA) 100\u00b0
\nB) 170\u00b0
\nC) 80\u00b0
\nD) 90\u00b0
\nAnswer:
\nC) 80\u00b0<\/p>\n
\nPerimeter of sectors = …………….
\nA) l + 2r
\nB) l – r
\nC) l – 2r
\nD) none
\nAnswer:
\nA) l + 2r<\/p>\n
\nWhat do you observe from the below
\n
\nA) PA < PB B) PA > PB
\nC) PA = PB
\nD) none
\nAnswer:
\nC) PA = PB<\/p>\n
\nThe radius of a circle is doubled then its area becomes ……………… times.
\nA) 5
\nB) 4
\nC) 9
\nD) none
\nAnswer:
\nB) 4<\/p>\n","protected":false},"excerpt":{"rendered":"