CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Circles
Question 1
1.
Which of the following statements are true?
a)
It is always possible to inscribe a circle in a quadrilateral.
b)
If a circle can be inscribed in a quadrilateral, the sum of the lengths of a pair of opposite sides is equal to the other pair.
c)
If a circle can be inscribed in a quadrilateral, then it must be a square.
d)
It is always possible to inscribe a circle in a regular polygon.
e)
If a circle can be inscribed in a quadrilateral, it must be a kite.
  • {a,b}
  • {b,d}
  • {c,d}
  • {c,d,b}
  • {e,a,b}
Question 2
2.
In the given figure, O is the centre and JN is a diameter of the circle and chord JK is equal to chord MN. If ∠KIM = 40°, find ∠MIN + ∠KLM
  • 180°
  • 195°
  • 170°
  • 165°
  • 175°
Question 3
3.
O is the centre of the circle. If Arc AC = 2 Arc CD and ∠AOC = 98°, find ∠ABC
  • 141°
  • 131°
  • 161°
  • 136°
  • 146°
Question 4
4.
O is the centre of the circle. If Arc BD = 2 Arc DE and ∠BOD = 93°, find ∠BED
  • 51.5°
  • 46.5°
  • 56.5°
  • 76.5°
  • 61.5°
Question 5
5.
CDEFGH is a hexagon inscribed in a circle. Given ∠CDE = 115° & ∠EFG = 122°, find ∠GHC
  • 138°
  • 128°
  • 153°
  • 123°
  • 133°
Question 6
6.
If the radius of a circle is 63 cm, what is its circumference?
  • 396 cm
  • 398 cm
  • 395 cm
  • 394 cm
  • 397 cm
Question 7
7.
In the given figure, ∠OEB = 44° & ∠OFE = 18°, find ∠DCB
  • 56°
  • 86°
  • 71°
  • 66°
  • 61°
Question 8
8.
In the given figure, CDEF is a cyclic quadrilateral. If ∠CED = 31° and ∠EFD = 47°, find ∠CFE
  • 88°
  • 93°
  • 78°
  • 83°
  • 108°
Question 9
9.
In the given triangle S is the circumcentre. If SF = 12.70 cm, find the circumference of the circumcircle
  • 78.8 cm
  • 80.8 cm
  • 81.8 cm
  • 79.8 cm
  • 77.8 cm
Question 10
10.
In the given figure, O is the centre of the circle. If ∠HIJ = 120°, find ∠OHJ
  • 30°
  • 35°
  • 40°
  • 45°
  • 60°