SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade IX - Circles
Question 1
1.
    • The minor sector of the circle is
  • EGF
  • EHFIE
  • EHF
  • JEGFJ
  • EGFIE
Question 2
2.
In the given figure, O is the centre of the circle and CF is a diameter. If ∠CFG = 64° and ∠DFE = 39°, find ∠FCE
  • 35°
  • 25°
  • 40°
  • 55°
  • 30°
Question 3
3.
The diameter GH of a circle with centre 'O' is perpendicular to the chord EF. If EF = 18.00 cm and GI = 3.21 cm, find the radius of the circle.
  • 14.21 cm
  • 12.21 cm
  • 13.21 cm
  • 15.21 cm
  • 16.21 cm
Question 4
4.
In the given figure, O is the centre of the circle, and OL ⟂ HI. If ∠HIJ = 48.5°, find ∠OKJ
  • 46.5°
  • 41.5°
  • 56.5°
  • 51.5°
  • 71.5°
Question 5
5.
Which of the following statements are true?
a)
Angles subtended by equal length arcs in two circles are equal.
b)
Angles in the opposite segments are supplementary.
c)
Angles in the same segment are equal.
d)
Angles in the opposite segments are complementary.
  • {b,c}
  • {a,b}
  • {a,c,b}
  • {a,d,b}
  • {d,c}
Question 6
6.
In the given figure, FGHI is a cyclic quadrilateral. If ∠FGI = 72° and ∠GHF = 45°, find ∠GHI
  • 127°
  • 147°
  • 117°
  • 122°
  • 132°
Question 7
7.
In the given figure, IJKL is cyclic quadrilateral. If ∠JKL = 87°, find ∠HIL
  • 102°
  • 92°
  • 117°
  • 87°
  • 97°
Question 8
8.
Two circles with equal radii are
  • not similar
  • concentric
  • congruent
  • only similar but not congruent
Question 9
9.
Which of the following statements are true?
a)
The radius is the shortest chord.
b)
Atmost one chord can be drawn on a circle with a certain length.
c)
A chord divides a circle into two sectors.
d)
A chord divides a circle into two segments.
e)
The diameter is the longest chord.
  • {a,d}
  • {b,e,d}
  • {d,e}
  • {b,e}
  • {c,a,d}
Question 10
10.
In the given figure, O is the centre of the circle , chord GJ is equal to chord JI. If ∠GOH = 84° and ∠GJI = 113°, find ∠HIJ
  • 85.5°
  • 80.5°
  • 75.5°
  • 105.5°
  • 90.5°