SSC Board Practice

SSC Grade IX - Circles
Question 1
1.
In the given figure, O is the centre of the circle. If ∠JKO = 11° and ∠OMJ = 40°, find ∠KOM
  • 117°
  • 112°
  • 102°
  • 107°
  • 132°
Question 2
2.
A chord of a circle divides the whole circular region into two parts, each called a
  • chord
  • semi-circle
  • centre
  • segment
  • diameter
Question 3
3.
A chord that passes through the centre of the circle is called
  • major segment
  • semi-circle
  • segment
  • chord
  • diameter
Question 4
4.
Two circles are of radii 6 cm and 1 cm. If the distance between their centres is 8 cm, what is the length of their direct common tangent?
  • 7.24 cm
  • 6.24 cm
  • 5.24 cm
  • 4.24 cm
  • 8.24 cm
Question 5
5.
In the given figure, O is the centre of the circle. If ∠EDF = 56° and ∠DFG = 25°, find ∠FHG
  • 129°
  • 104°
  • 114°
  • 109°
  • 99°
Question 6
6.
Which of the following statements are true?
a)
The diameter divides the circle into two unequal parts.
b)
The area enclosed by a chord and its minor arc is called minor segment.
c)
A sector is the area enclosed by two radii and a chord.
d)
The area enclosed by a chord and its major arc is called major segment.
e)
A circle divides the plane on which it lies into three parts.
  • {a,b}
  • {a,b,d}
  • {a,c,e}
  • {c,d}
  • {b,d,e}
Question 7
7.
O is the centre of the circle. If ∠EOG = 73°, find ∠D
  • 46.5°
  • 51.5°
  • 41.5°
  • 66.5°
  • 36.5°
Question 8
8.
O is the centre of the circle and OE = DE. Find ∠EOC
  • 135°
  • 130°
  • 125°
  • 120°
  • 150°
Question 9
9.
Which of the following figures represent a diameter ?
  • fig III
  • fig II
  • fig IV
  • fig V
  • fig I
Question 10
10.
In the given figure, a pentagon is inscribed in a circle with centre O. Given AB = BC = CD , ∠BCD = 107° and ∠EAB = 106°. Find ∠ABC
  • 112°
  • 107°
  • 122°
  • 137°
  • 117°