ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Chord Properties of a Circle
Question 1
1.
Which of the following statements are true?
a)
The diameter divides the circle into two unequal parts.
b)
Two chords bisect each other.
c)
A sector is the area enclosed by two radii and a chord.
d)
The midpoint of any diameter of a circle is its centre.
e)
The longest of all chords of a circle is called diameter.
  • {a,d}
  • {b,e}
  • {c,a,d}
  • {d,e}
  • {b,e,d}
Question 2
2.
A chord that passes through the centre of the circle is called
  • chord
  • diameter
  • major segment
  • semi-circle
  • centre
Question 3
3.
Which of the following figures represent a chord ?
  • fig III
  • fig II
  • fig IV
  • fig V
  • fig I
Question 4
4.
The mid-point of the diameter of a circle is called
  • semi-circle
  • chord
  • radius
  • diameter
  • centre
Question 5
5.
The distance around the circle is called
  • radius
  • circumference
  • chord
  • diameter
  • arc
Question 6
6.
A chord of a circle divides the whole circular region into two parts, each called a
  • chord
  • circumference
  • radius
  • segment
  • semi-circle
Question 7
7.
    • In the given figure, BC ∥ DE. Length of chords BC = 16 cm and DE = 24 cm.
    • If the distance between the chords is
    • 6 cm
    • ,
    • find the radius of the circle
  • 11.55 cm
  • 12.55 cm
  • 14.55 cm
  • 10.55 cm
  • 13.55 cm
Question 8
8.
Which of the following statements are true?
a)
The diameter is the longest chord.
b)
A chord divides a circle into two sectors.
c)
A chord divides a circle into two segments.
d)
The radius is the shortest chord.
e)
Atmost one chord can be drawn on a circle with a certain length.
  • {a,c}
  • {b,a}
  • {d,c}
  • {d,c,a}
  • {e,b,a}
Question 9
9.
The angle subtended by the semicircle at the centre is
  • 210°
  • 185°
  • 195°
  • 180°
  • 190°
Question 10
10.
Which of the following statements are true?
a)
Every circle has a unique centre.
b)
A circle consists of an infinite number of points.
c)
Every circle has a unique diameter.
d)
A line can meet a circle atmost at two points.
e)
Each radius of a circle is also a chord of the circle.
  • {a,b,d}
  • {e,b}
  • {c,a,b}
  • {c,e,d}
  • {c,a}