ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Circles
Question 1
1.
Which of the following statements are true?
a)
A sector is the area enclosed by two radii and a chord.
b)
The diameter divides the circle into two unequal parts.
c)
The area enclosed by a chord and its minor arc is called minor segment.
d)
The area enclosed by a chord and its major arc is called major segment.
e)
A circle divides the plane on which it lies into three parts.
  • {a,c,d}
  • {b,d}
  • {a,b,e}
  • {c,d,e}
  • {a,c}
Question 2
2.
If the radius of a circle is 70 cm, what is its diameter?
  • 141 cm
  • 139 cm
  • 142 cm
  • 140 cm
  • 138 cm
Question 3
3.
Which of the following statements are true?
a)
A circle consists of an infinite number of points.
b)
Each radius of a circle is also a chord of the circle.
c)
Every circle has a unique centre.
d)
A line can meet a circle atmost at two points.
e)
Every circle has a unique diameter.
  • {b,a}
  • {e,c}
  • {b,a,c}
  • {a,c,d}
  • {b,e,d}
Question 4
4.
    • The minor sector of the circle is
  • NILJN
  • ILJMI
  • IKJ
  • NIKJN
  • IKJMI
Question 5
5.
A chord that passes through the centre of the circle is called
  • major segment
  • chord
  • diameter
  • segment
  • semi-circle
Question 6
6.
The perimeter of a circle is called
  • radius
  • segment
  • chord
  • centre
  • circumference
Question 7
7.
Which of the following statements are true?
a)
A secant has two end points.
b)
A diameter is a limiting case of a chord.
c)
A tangent is the limiting case of a secant.
d)
A radius is a limiting case of a diameter.
e)
A secant and a chord are same.
  • {e,a,b}
  • {d,c,b}
  • {b,c}
  • {d,c}
  • {a,b}
Question 8
8.
Which of the following figures represent a tangent ?
  • fig I
  • fig V
  • fig IV
  • fig II
  • fig III
Question 9
9.
Which of the following statements are true?
a)
Only one tangent can be drawn through a point on a circle.
b)
Only two tangents can be drawn from a point outside the circle.
c)
Atmost one tangent can be drawn through a point inside the circle.
d)
The sides of a triangle can be tangents to a circle.
e)
Two tangents to a circle always intersect.
  • {c,a,b}
  • {c,a}
  • {c,e,d}
  • {e,b}
  • {a,b,d}
Question 10
10.
    • The radii of the circle are
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