SSC Board Practice

SSC Grade IX - Circles
Question 1
1.
An arc subtends 48° in its alternate segment. The angle made by its corresponding major arc at the centre is
  • 294°
  • 269°
  • 264°
  • 279°
  • 274°
Question 2
2.
In the given figure, GHIK is a cyclic quadrilateral where HI and HG are produced to J and F respectively. If ∠FGK = 102°, find ∠JIK
  • 108°
  • 88°
  • 83°
  • 93°
  • 78°
Question 3
3.
△EFG is inscribed in a circle with centre O. If ∠EOF = 145° and ∠FOG = 160°, find ∠GEF
  • 80°
  • 110°
  • 95°
  • 85°
  • 90°
Question 4
4.
Two circles with equal radii are
  • concentric
  • only similar but not congruent
  • not similar
  • congruent
Question 5
5.
O is the centre of the circle. If ∠EFG = 124°, find ∠GOH
  • 68°
  • 73°
  • 98°
  • 83°
  • 78°
Question 6
6.
In the given figure, O is the centre of the circle. If ∠FDE = 47.01° and ∠DEF = 67.52°, find the angle ∠DGE
  • 75.47°
  • 80.47°
  • 70.47°
  • 95.47°
  • 65.47°
Question 7
7.
An arc subtends 90° in its alternate segment. The arc is
  • quadrant
  • minor segment
  • major arc
  • minor arc
  • semi-circle
Question 8
8.
    • 'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
    • If
    •  
    •  


      OP
       
       
    • < r,then P is
  • inside the circle
  • outside the circle
  • on the circle
Question 9
9.
In the given figure FH & GH are equal length chords of the circle. Find ∠HFG
  • 45°
  • 50°
  • 75°
  • 55°
  • 60°
Question 10
10.
In the given figure, O is the centre of the circle. Given ∠HOI = 89° & ∠GJI = 67°, find ∠GOH
  • 60°
  • 45°
  • 55°
  • 75°
  • 50°