CBSE Board Practice

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CBSE Grade IX - Circles
Question 1
1.
In the given figure, a pentagon is inscribed in a circle with centre O. Given AB = BC = CD , ∠BCD = 100° and ∠EAB = 106°. Find ∠ABC
  • 110°
  • 105°
  • 115°
  • 100°
  • 130°
Question 2
2.
In the given figure, O is the centre of the circle , chord JK is equal to chord KL and IK is a diameter. If ∠LIK = 43° find ∠JKL
  • 109°
  • 99°
  • 124°
  • 94°
  • 104°
Question 3
3.
Find the points belonging to the outside of the circle
  • {B,E}
  • {G,C}
  • {D,G}
  • {D,B}
  • {C,F}
Question 4
4.
    • The major segment of the circle is
  • HKI
  • HJI
  • HJILH
  • MHKIM
  • HKILH
Question 5
5.
In the given figure, find the remaining angles of the quadrilateral.
  • F
    =
    80°
    ,
    G
    =
    82°
  • F
    =
    81°
    ,
    G
    =
    83°
  • F
    =
    82°
    ,
    G
    =
    84°
  • F
    =
    78°
    ,
    G
    =
    80°
  • F
    =
    79°
    ,
    G
    =
    81°
Question 6
6.
Which of the following statements are true?
a)
Angles in the opposite segments are complementary.
b)
Angles in the same segment are equal.
c)
Angles subtended by equal length arcs in two circles are equal.
d)
Angles in the opposite segments are supplementary.
  • {a,b}
  • {a,d,b}
  • {c,d}
  • {b,d}
  • {a,c,b}
Question 7
7.
    • The minor sector of the circle is
  • FACBF
  • ADB
  • ADBEA
  • FADBF
  • ACB
Question 8
8.
In the given figure, FGHI is a cyclic quadrilateral. If ∠FHG = 31° and ∠HIG = 46°, find ∠FIH
  • 87°
  • 107°
  • 77°
  • 82°
  • 92°
Question 9
9.
Which of the following statements are true?
a)
The radius is the shortest chord.
b)
A chord divides a circle into two segments.
c)
The diameter is the longest chord.
d)
Atmost one chord can be drawn on a circle with a certain length.
e)
A chord divides a circle into two sectors.
  • {e,a,b}
  • {d,c}
  • {a,b}
  • {d,c,b}
  • {b,c}
Question 10
10.
The diameter DE of a circle with centre 'O' is perpendicular to the chord BC. If BC = 14.00 cm and DF = 1.89 cm, find the radius of the circle.
  • 13.89 cm
  • 14.89 cm
  • 12.89 cm
  • 11.89 cm
  • 15.89 cm