ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Circles
Question 1
1.
The angle between a tangent to a circle and the radius drawn at the point of contact is
  • 100°
  • 120°
  • 105°
  • 95°
  • 90°
Question 2
2.
Which of the following statements are true?
a)
Atmost one chord can be drawn on a circle with a certain length.
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)
The diameter is the longest chord.
  • {b,e}
  • {d,a,c}
  • {a,c}
  • {b,e,c}
  • {c,e}
Question 3
3.
Which of the following statements are true?
a)
Only two tangents can be drawn from a point outside the circle.
b)
Atmost one tangent can be drawn through a point inside the circle.
c)
Only one tangent can be drawn through a point on a circle.
d)
Two tangents to a circle always intersect.
e)
The sides of a triangle can be tangents to a circle.
  • {a,c,e}
  • {b,d,e}
  • {b,a}
  • {d,c}
  • {b,a,c}
Question 4
4.
The mid-point of the diameter of a circle is called
  • major segment
  • diameter
  • chord
  • centre
  • circumference
Question 5
5.
Which of the following figures represent a chord ?
  • fig I
  • fig III
  • fig IV
  • fig V
  • fig II
Question 6
6.
Which of the following figures represent a tangent ?
  • fig III
  • fig I
  • fig V
  • fig II
  • fig IV
Question 7
7.
A line segment joining any point on the circle with its centre is called
  • centre
  • diameter
  • radius
  • chord
  • circumference
Question 8
8.
Which of the following statements are true?
a)
The midpoint of any diameter of a circle is its centre.
b)
The diameter divides the circle into two unequal parts.
c)
Two chords bisect each other.
d)
A sector is the area enclosed by two radii and a chord.
e)
The longest of all chords of a circle is called diameter.
  • {d,b,a}
  • {b,a}
  • {c,e,a}
  • {a,e}
  • {c,e}
Question 9
9.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
A circle consists of an infinite number of points.
c)
A line can meet a circle atmost at two points.
d)
Every circle has a unique centre.
e)
Each radius of a circle is also a chord of the circle.
  • {a,b}
  • {e,c}
  • {a,e,d}
  • {b,c,d}
  • {a,b,c}
Question 10
10.
Which of the following figures represent a secant ?
  • fig III
  • fig IV
  • fig V
  • fig I
  • fig II