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 angle subtended by the diameter at any point on the circle is
  • 90°
  • 100°
  • 105°
  • 120°
  • 95°
Question 2
2.
In the given figure, △HIJ is inscribed in a circle. If HI = HJ = 21 cm and IJ = 20 cm, find the radius of the circle
  • 12.94 cm
  • 10.94 cm
  • 11.94 cm
  • 9.94 cm
  • 13.94 cm
Question 3
3.
Which of the following statements are true?
a)
An infinite number of chords may be drawn for a circle.
b)
Two semi-circles of a circle together make the whole circle.
c)
Every circle has a unique diameter.
d)
An infinite number of diameters may be drawn for a circle.
e)
One and only one tangent can be drawn to a circle from a point outside it.
  • {c,a,b}
  • {c,e,d}
  • {a,b,d}
  • {e,b}
  • {c,a}
Question 4
4.
Which of the following statements are true?
a)
A diameter is a limiting case of a chord.
b)
A secant and a chord are same.
c)
A secant has two end points.
d)
A tangent is the limiting case of a secant.
e)
A radius is a limiting case of a diameter.
  • {e,b,a}
  • {b,a}
  • {c,d,a}
  • {a,d}
  • {c,d}
Question 5
5.
Which of the following statements are true?
a)
The area enclosed by a chord and its major arc is called major segment.
b)
A circle divides the plane on which it lies into three parts.
c)
The area enclosed by a chord and its minor arc is called minor segment.
d)
The diameter divides the circle into two unequal parts.
e)
A sector is the area enclosed by two radii and a chord.
  • {e,b}
  • {d,a}
  • {d,a,b}
  • {a,b,c}
  • {d,e,c}
Question 6
6.
The diameter HI of a circle with centre 'O' is perpendicular to the chord FG. If FG = 22.00 cm and HJ = 3.60 cm, find the radius of the circle.
  • 19.60 cm
  • 17.60 cm
  • 20.60 cm
  • 16.60 cm
  • 18.60 cm
Question 7
7.
A chord of a circle divides the whole circular region into two parts, each called a
  • segment
  • circumference
  • chord
  • diameter
  • radius
Question 8
8.
The mid-point of the diameter of a circle is called
  • centre
  • segment
  • radius
  • chord
  • major segment
Question 9
9.
If a chord BC = 12 cm is drawn in a circle with radius OB = 13 cm, find its distance from the centre of the circle
  • 10.53 cm
  • 11.53 cm
  • 9.53 cm
  • 13.53 cm
  • 12.53 cm
Question 10
10.
    • The major sector of the circle is
  • CFDGC
  • CEDGC
  • CFD
  • CED
  • HCFDH