CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade IX - Circles
Question 1
1.
In the given figure, BCDE is a cyclic quadrilateral. If ∠BDC = 30° and ∠DEC = 47°, find ∠BCD
  • 108°
  • 113°
  • 118°
  • 103°
  • 133°
Question 2
2.
Which of the following statements are true?
a)
A secant has two end points.
b)
A radius is a limiting case of a diameter.
c)
A diameter is a limiting case of a chord.
d)
A secant and a chord are same.
e)
A tangent is the limiting case of a secant.
  • {b,e}
  • {c,e}
  • {d,a,c}
  • {b,e,c}
  • {a,c}
Question 3
3.
    • O is the centre of the circle.
    • If
    • ∠O
    • =
    • 85°
    • ,
    • find
    • ∠G
  • 152.5°
  • 147.5°
  • 142.5°
  • 137.5°
  • 167.5°
Question 4
4.
In the given figure, △LHI is a scalene triangle. JH & KH trisect ∠LHI. Similarly IJ & IK trisect ∠HIL. Given ∠ILH = 81°, find ∠IJH
  • 152°
  • 162°
  • 147°
  • 177°
  • 157°
Question 5
5.
Angle subtended in the major segment is
  • acute angle
  • right angle
  • reflex angle
  • complete angle
  • straight angle
Question 6
6.
    • O is the centre of the circle.
    • If
    • ∠A
    • +
    • ∠BOC = 168°
    • ,
    • find
    • ∠BOC
  • 127°
  • 122°
  • 112°
  • 142°
  • 117°
Question 7
7.
Which of the following statements are true?
a)
    • 22
      7
    • is a rational number.
b)
A circle divides the plane into three mutually disjoint sets of points.
c)
All chords of a circle are diameters.
d)
    • π
    • is a rational number.
e)
All diameters of a circle are chords.
  • {d,b}
  • {c,d,e}
  • {a,b,e}
  • {c,a}
  • {c,a,b}
Question 8
8.
In the given figure, EF is a side of regular 6-sided polygon and EG is a side of regular 5-sided polygon inscribed in a circle with centre O. Find ∠EGF
  • 40°
  • 30°
  • 45°
  • 60°
  • 35°
Question 9
9.
In the given figure, LJ and MI are two lines passing through the points of intersection of the two circles at K and H. If ∠MLK = 90° , find ∠KJI
  • 90°
  • 95°
  • 105°
  • 120°
  • 100°
Question 10
10.
In the given figure, DEFH is a cyclic quadrilateral where EF and ED are produced to G and C respectively. If ∠CDH = 77°, find ∠GFH
  • 133°
  • 113°
  • 108°
  • 118°
  • 103°