CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Circles
Question 1
1.
In the given figure, O is the centre of the circle. If ∠OFH = 27°, find ∠G
  • 132°
  • 117°
  • 147°
  • 122°
  • 127°
Question 2
2.
O is the centre of the circle and OK = JK. Find reflex ∠KOI
  • 240°
  • 250°
  • 255°
  • 270°
  • 245°
Question 3
3.
Which of the following statements are true?
a)
An infinite number of diameters may be drawn for a circle.
b)
Every circle has a unique diameter.
c)
Two semi-circles of a circle together make the whole circle.
d)
An infinite number of chords may be drawn for a circle.
e)
One and only one tangent can be drawn to a circle from a point outside it.
  • {e,c}
  • {a,c,d}
  • {b,e,d}
  • {b,a,c}
  • {b,a}
Question 4
4.
In the given figure, O is the centre of the circle and chord IJ is equal to chord JK and JM is a diameter. If ∠MIO = 24° and ∠KLM = 114°, find ∠IJK
  • 162°
  • 147°
  • 137°
  • 142°
  • 132°
Question 5
5.
In the given figure, ∠GIJ = 12° and ∠GKJ = 23°, find ∠IGJ
  • 55°
  • 60°
  • 85°
  • 65°
  • 70°
Question 6
6.
If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is
  • right angle triangle
  • equilateral triangle
  • acute angled triangle
  • obtuse angled triangle
Question 7
7.
If the radius of a circle is 49 cm, what is its diameter?
  • 100 cm
  • 97 cm
  • 99 cm
  • 96 cm
  • 98 cm
Question 8
8.
In the given figure, O is the centre of the circle and BE is a diameter. If ∠CDE = 117°, find ∠CAB
  • 37°
  • 57°
  • 32°
  • 27°
  • 42°
Question 9
9.
Two circles touch internally. L is the centre of the bigger circle and lies on the smaller circle. If ∠IJK = 70°, find ∠I
  • 25°
  • 35°
  • 20°
  • 50°
  • 30°
Question 10
10.
An arc subtends 139° in its alternate segment. The arc is
  • minor arc
  • quadrant
  • semi-circle
  • major arc
  • major segment