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, △LIJ is a scalene triangle. KI bisects ∠LIJ. Similarly JK bisects ∠IJL. Given ∠JLI = 116°, find ∠JKI
  • 178°
  • 158°
  • 153°
  • 163°
  • 148°
Question 2
2.
In the given figure, O is the centre of the circle , chord KL is equal to chord LM and JL is a diameter. If ∠MJL = 40° find ∠KLM
  • 115°
  • 105°
  • 110°
  • 100°
  • 130°
Question 3
3.
The opposite angles in a cyclic quadrilateral are
  • complementary
  • linear pair
  • equal
  • supplementary
Question 4
4.
In the given figure, HI & JK are diameters of the circle. If ∠HIJ = 70° find, ∠IOJ
  • 50°
  • 40°
  • 55°
  • 45°
  • 70°
Question 5
5.
HI is a line segment and K is its mid-point. Three semi-circles are drawn with HK , KI and HI as diameters. J , L and K respectively are the centres of these semi-circles. A new circle is drawn touching these three semi-circles. Find its radius, given HJ = 6 cm
  • 2.00 cm
  • 5.00 cm
  • 3.00 cm
  • 6.00 cm
  • 4.00 cm
Question 6
6.
In the given figure, GH is a side of regular 6-sided polygon and GI is a side of regular 8-sided polygon inscribed in a circle with centre O. Find ∠GIH
  • 40°
  • 45°
  • 30°
  • 35°
  • 60°
Question 7
7.
In the given figure, O is the centre of the circle. If ∠DBC = 39.55° and ∠BCD = 76.66°, find the angle ∠BEC
  • 73.79°
  • 93.79°
  • 68.79°
  • 78.79°
  • 63.79°
Question 8
8.
In the given figure, O is the centre of the circle. If ∠HIO = 41° and ∠OKH = 18°, find ∠IJK
  • 136°
  • 151°
  • 131°
  • 121°
  • 126°
Question 9
9.
    • O is the centre of the circle.
    • If
    • ∠O
    • =
    • 103°
    • ,
    • find
    • ∠D
  • 143.5°
  • 128.5°
  • 158.5°
  • 138.5°
  • 133.5°
Question 10
10.
In the given figure, O is the centre of the circle , chord AD is equal to chord DC. If ∠AOB = 98° and ∠ADC = 123°, find ∠BCD
  • 82.5°
  • 92.5°
  • 87.5°
  • 107.5°
  • 77.5°