ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Angle Properties of a Circle
Question 1
1.
In the given figure, DE & EA are equal length chords, AC and BD are diameters. Given ∠ODE = 58° find, ∠COB
  • 128°
  • 138°
  • 133°
  • 158°
  • 143°
Question 2
2.
In the given figure, O is the centre of the circle. If ∠HOI = 61° and ∠IJL = 98°, find ∠KHO
  • 38.5°
  • 68.5°
  • 48.5°
  • 53.5°
  • 43.5°
Question 3
3.
Which of the following are cyclic quadrilaterals?
a)
rectangle
b)
triangle
c)
rhombus
d)
parallelogram
e)
square
f)
trapezium
  • {a,e}
  • {b,a}
  • {d,f,a}
  • {c,e}
  • {b,e,a}
Question 4
4.
Angle subtended in the major segment is
  • complete angle
  • right angle
  • obtuse angle
  • zero angle
  • acute angle
Question 5
5.
In the given figure, which of the following angle pairs are equal?
  • {(o,m),(l,r),(q,s),(p,n)}
  • {(q,r),(s,n),(o,l),(m,p)}
  • {(m,s),(o,q),(r,p),(n,l)}
  • {(n,l),(p,q),(r,s),(m,o)}
  • {(l,q),(m,p),(n,s),(o,r)}
Question 6
6.
If a chord GH = 10 cm is drawn in a circle with radius OG = 12 cm, find its distance from the centre of the circle
  • 10.91 cm
  • 12.91 cm
  • 11.91 cm
  • 9.91 cm
  • 8.91 cm
Question 7
7.
Which of the following statements are true?
a)
A cyclic parallelogram is a rhombus.
b)
A cyclic parallelogram is a rectangle.
c)
A cyclic trapezium is a rectangle.
d)
A cyclic rhombus is a square.
e)
A cyclic kite is a square.
  • {e,a,b}
  • {c,d}
  • {a,b}
  • {c,d,b}
  • {b,d}
Question 8
8.
In the given figure, AB , BC , CD and DE are chords and AD , BE are diameters passing through the centre O. If ∠AOB = 74°. Find ∠BCD
  • 127°
  • 137°
  • 157°
  • 132°
  • 142°
Question 9
9.
In the given figure, ∠EGH = 12° and ∠EIH = 31°, find ∠GEH
  • 62°
  • 57°
  • 77°
  • 52°
  • 47°
Question 10
10.
An arc subtends 35° in its alternate segment. The arc is
  • quadrant
  • major segment
  • minor arc
  • semi-circle
  • major arc