ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Chord Properties of a Circle
Question 1
1.
    • The diameters of the circle are
  •  

    KF
     
     
    ,
     

    KG
     
     
    ,
     

    KH
     
     
    ,
     

    KI
     
     
    ,
     

    KJ
     
     
  •  

    FG
     
     
    ,
     

    GH
     
     
    ,
     

    HI
     
     
    ,
     

    IJ
     
     
    ,
     

    JF
     
     
  •  

    HJ
     
     
    ,
     

    Ix
     
     
  •  

    FG
     
     
    ,
     

    GH
     
     
    ,
     

    HI
     
     
    ,
     

    IJ
     
     
    ,
     

    JF
     
     
    ,
     

    HJ
     
     
  •  

    KF
     
     
    ,
     

    KG
     
     
    ,
     

    KH
     
     
    ,
     

    KI
     
     
    ,
     

    KJ
     
     
    ,
     

    Ix
     
     
Question 2
2.
Which of the following statements are true?
a)
    • 22
      7
    • is a rational number.
b)
    • π
    • is a rational number.
c)
All chords of a circle are diameters.
d)
A circle divides the plane into three mutually disjoint sets of points.
e)
All diameters of a circle are chords.
  • {b,a,d}
  • {a,d,e}
  • {b,c,e}
  • {b,a}
  • {c,d}
Question 3
3.
A line segment joining any point on the circle with its centre is called
  • centre
  • circumference
  • radius
  • segment
  • semi-circle
Question 4
4.
    • In the given figure, HI ∥ JK. Length of chords HI = 18 cm and JK = 27 cm.
    • If the distance between the chords is
    • 6 cm
    • ,
    • find the radius of the circle
  • 12.55 cm
  • 14.55 cm
  • 16.55 cm
  • 15.55 cm
  • 13.55 cm
Question 5
5.
In the given figure AC & BC are equal length chords of the circle. Find ∠CAB
  • 60°
  • 50°
  • 45°
  • 55°
  • 75°
Question 6
6.
In the given figure, if x = 10 cm and y = 16 cm, find a
  • 11.65 cm
  • 10.65 cm
  • 14.65 cm
  • 12.65 cm
  • 13.65 cm
Question 7
7.
AB is a line segment and D is its mid-point. Three semi-circles are drawn with AD , DB and AB as diameters. C , E and D respectively are the centres of these semi-circles. A new circle is drawn touching these three semi-circles. Find its radius, given AC = 8 cm
  • 3.33 cm
  • 6.33 cm
  • 4.33 cm
  • 7.33 cm
  • 5.33 cm
Question 8
8.
A line which touches a circle at only one point is called a
  • tangent
  • segment
  • centre
  • semi-circle
  • chord
Question 9
9.
GH , IJ , KL , MN are chords of a circle with GH = 6 cm , IJ = 3 cm , KL = 5.8 cm and MN = 5.03 cm. The chord farthest from the centre of the circle is
  • IJ = 3 cm
  • MN = 5.03 cm
  • GH = 6 cm
  • KL = 5.8 cm
Question 10
10.
If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is
  • equilateral triangle
  • obtuse angled triangle
  • acute angled triangle
  • right angle triangle