ICSE Board Practice

ICSE Grade X - Chord Properties of a Circle
Question 1
1.
If the two radii OP and OQ of a circle are at right angles to each other, then the sector OPQ is called a
  • circumference
  • quadrant
  • secant
  • major segment
  • tangent
Question 2
2.
Which of the following figures represent a tangent ?
  • fig II
  • fig III
  • fig V
  • fig I
  • fig IV
Question 3
3.
In the given figure, HI & JK are diameters of the circle. If ∠HIJ = 70° find, ∠IOJ
  • 50°
  • 70°
  • 55°
  • 40°
  • 45°
Question 4
4.
Which of the following statements are true?
a)
    • 22

      7
    • is a rational number.
b)
All chords of a circle are diameters.
c)
    • π
    • is a rational number.
d)
All diameters of a circle are chords.
e)
A circle divides the plane into three mutually disjoint sets of points.
  • {b,c,e}
  • {b,a}
  • {a,d,e}
  • {b,a,d}
  • {c,d}
Question 5
5.
In the given figure, △HIJ is an isosceles such that HI = HJ. Given HO = 10 cm, HI = HJ = 17 cm, find IJ
  • 19.91 cm
  • 15.91 cm
  • 18.91 cm
  • 17.91 cm
  • 16.91 cm
Question 6
6.
    • The major arc of the circle is
  • FIG
  • KFIGK
  • FIGJF
  • KFHGK
  • FHGJF
Question 7
7.
    • The minor arc of the circle is
  • DGE
  • DGEHD
  • IDGEI
  • DFEHD
  • DFE
Question 8
8.
A line which touches a circle at only one point is called a
  • chord
  • segment
  • major segment
  • tangent
  • centre
Question 9
9.
Identify the figure below
  • octagon
  • angle
  • hexagon
  • triangle
  • circle
Question 10
10.
The segment of the circle containing the centre of the circle is called
  • segment
  • semi-circle
  • major segment
  • chord
  • diameter