CBSE Board Practice

CBSE Grade IX - Circles
Question 1
1.
Two concentric circles are of radii 24 cm and 13 cm. Find the length of the chord of the outer circle that touches the inner circle
  • 41.35 cm
  • 42.35 cm
  • 40.35 cm
  • 38.35 cm
  • 39.35 cm
Question 2
2.
If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is
  • equilateral triangle
  • obtuse angled triangle
  • acute angled triangle
  • right angle triangle
Question 3
3.
In the given figure, O is the centre of the circle. If ∠HIJ = 135°, find ∠OHJ
  • 45°
  • 55°
  • 60°
  • 75°
  • 50°
Question 4
4.
In the given figure, O is the centre of the circle and DF is a diameter. If ∠ECD = 63°, find ∠EDF
  • 57°
  • 32°
  • 42°
  • 37°
  • 27°
Question 5
5.
In the given figure, O is the centre of the circle. If ∠JKL = 123°, find ∠LOJ + ∠JIL
  • 308°
  • 318°
  • 313°
  • 303°
  • 333°
Question 6
6.
O is the centre of the circle. If ∠BOC = 100°, find the angle ∠E
  • 55°
  • 60°
  • 65°
  • 80°
  • 50°
Question 7
7.
    • O is the centre of the circle.
    • If
    • ∠G
    • +
    • ∠HOI = 189°
    • ,
    • find
    • ∠HOI
  • 126°
  • 156°
  • 131°
  • 136°
  • 141°
Question 8
8.
Find the points belonging to the circle
  • {L,O}
  • {L,N}
  • {N,Q}
  • {L,P}
  • {M,P}
Question 9
9.
In the given figure, O is the centre of the circle. If ∠IGH = 49° and ∠EFI = 92°, find ∠GIH
  • 69°
  • 54°
  • 44°
  • 49°
  • 39°
Question 10
10.
With the vertices of a triangle △GHI as centres, three circles are drawn touching each other externally. If the sides of the triangle are 10 cm , 17 cm and 11 cm , find the radii of the circles
  • 2 cm , 8 cm & 9 cm respectively
  • 7 cm , 8 cm & 9 cm respectively
  • 7 cm , 13 cm & 14 cm respectively
  • 2 cm , 8 cm & 14 cm respectively
  • 2 cm , 13 cm & 9 cm respectively