SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade IX - Circles
Question 1
1.
If BCDE is a cyclic quadrilateral and ∠B − ∠D = 80°, then ∠D
  • 80°
  • 50°
  • 65°
  • 55°
  • 60°
Question 2
2.
In the given figure, the bisectors of ∠C , ∠D & ∠E of △CDE meet the circumcircle at F , G & H. If ∠C = 48°, find ∠F
  • 96°
  • 81°
  • 76°
  • 66°
  • 71°
Question 3
3.
In the given figure, O is the centre of the circle. If ∠HOI = 119° and ∠IJL = 77°, find ∠KHO
  • 76.5°
  • 56.5°
  • 46.5°
  • 51.5°
  • 61.5°
Question 4
4.
Two circles are of radii 6 cm and 1 cm. If the distance between their centres is 9 cm, what is the length of their direct common tangent?
  • 5.48 cm
  • 6.48 cm
  • 9.48 cm
  • 7.48 cm
  • 8.48 cm
Question 5
5.
The mid-point of the diameter of a circle is called
  • segment
  • centre
  • diameter
  • semi-circle
  • radius
Question 6
6.
In the given figure, which of the following angle pairs are equal?
  • {(s,p),(m,n),(l,r),(o,q)}
  • {(o,p),(r,n),(s,m),(l,q)}
  • {(l,q),(m,p),(n,s),(o,r)}
  • {(n,o),(p,l),(s,q),(r,m)}
  • {(n,q),(l,o),(p,r),(m,s)}
Question 7
7.
△FGH is inscribed in a circle with centre O. If ∠FOG = 144° and ∠GOH = 156°, find ∠HFG
  • 93°
  • 108°
  • 78°
  • 83°
  • 88°
Question 8
8.
    • The minor segment of the circle is
  • ILJMI
  • IKJ
  • ILJ
  • NIKJN
  • IKJMI
Question 9
9.
In the given figure, △IEF is a scalene triangle. GE & HE trisect ∠IEF. Similarly FG & FH trisect ∠EFI. Given ∠FIE = 72°, find ∠FHE
  • 108°
  • 123°
  • 118°
  • 138°
  • 113°
Question 10
10.
    • The minor arc of the circle is
  • KFIGK
  • FIG
  • KFHGK
  • FHGJF
  • FHG