CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Circles
Question 1
1.
Circles having common centre are called
  • similar circles
  • congruent circles
  • intersecting circles
  • concentric circles
Question 2
2.
Which of the following statements are true?
a)
A cyclic quadrilateral is a regular polygon.
b)
If a rhombus is cyclic, it is a square.
c)
If a kite is cyclic, it is a square.
d)
If a parallelogram is cyclic, it is a rectangle.
e)
If a trapezium is cyclic, it is a rectangle.
  • {c,d}
  • {c,d,b}
  • {a,b}
  • {e,a,b}
  • {b,d}
Question 3
3.
An arc subtends 90° in its alternate segment. The arc is
  • major arc
  • major segment
  • semi-circle
  • minor arc
  • minor segment
Question 4
4.
Identify the figure below
  • decagon
  • circle
  • hexagon
  • quadrilateral
  • triangle
Question 5
5.
In the given figure, DE is a side of regular 9-sided polygon and DF is a side of regular 10-sided polygon inscribed in a circle with centre O. Find ∠DOE
  • 50°
  • 40°
  • 70°
  • 45°
  • 55°
Question 6
6.
IJKLMN is a hexagon inscribed in a circle. Given ∠IJK = 125° & ∠KLM = 129°, find ∠MNI
  • 116°
  • 121°
  • 106°
  • 111°
  • 136°
Question 7
7.
In the given figure, EFGH is a cyclic quadrilateral. If ∠EGF = 33° and ∠GHF = 40°, find ∠EFG
  • 107°
  • 137°
  • 112°
  • 122°
  • 117°
Question 8
8.
In the given figure, the bisectors of ∠D , ∠E & ∠F of △DEF meet the circumcircle at G , H & I. If ∠D = 62°, find ∠G
  • 74°
  • 64°
  • 69°
  • 89°
  • 59°
Question 9
9.
In the given figure, a pentagon is inscribed in a circle with centre O. Given GH = HI = IJ and ∠GHI = 126°. Find ∠IOJ
  • 64°
  • 59°
  • 69°
  • 54°
  • 84°
Question 10
10.
In the given figure, O is the centre of the circle. If ∠BEC = 82° and ∠BAD = 61°, find ∠ADC
  • 67°
  • 47°
  • 42°
  • 37°
  • 52°