CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Circles
Question 1
1.
BC is a line segment and E is its mid-point. Three semi-circles are drawn with BE , EC and BC as diameters. D , F and E respectively are the centres of these semi-circles. A new circle is drawn touching these three semi-circles. Find its radius, given BD = 6 cm
  • 2.00 cm
  • 4.00 cm
  • 3.00 cm
  • 6.00 cm
  • 5.00 cm
Question 2
2.
Two concentric circles are of radii 24 cm and 12 cm. Find the length of the chord of the outer circle that touches the inner circle
  • 42.57 cm
  • 40.57 cm
  • 43.57 cm
  • 41.57 cm
  • 39.57 cm
Question 3
3.
In the given figure, O is the centre of the circle and GI is the tangent at H. If ∠FEH = 25°, find ∠FGH + ∠FHG
  • 75°
  • 65°
  • 95°
  • 70°
  • 80°
Question 4
4.
Which of the following figures represent a diameter ?
  • fig III
  • fig I
  • fig V
  • fig IV
  • fig II
Question 5
5.
Which of the following statements are true?
a)
A cyclic quadrilateral is a regular polygon.
b)
If a parallelogram is cyclic, it is a rectangle.
c)
If a rhombus is cyclic, it is a square.
d)
If a kite is cyclic, it is a square.
e)
If a trapezium is cyclic, it is a rectangle.
  • {d,c,b}
  • {b,c}
  • {d,c}
  • {e,a,b}
  • {a,b}
Question 6
6.
In the given figure, EFGI is a cyclic quadrilateral where FG and FE are produced to H and D respectively. If ∠DEI = 88°, find ∠HGI
  • 122°
  • 107°
  • 102°
  • 92°
  • 97°
Question 7
7.
In the given figure, O is the centre of the circle and KL is the tangent at H. If ∠OIH = 36°, find ∠LHI
  • 54°
  • 84°
  • 64°
  • 59°
  • 69°
Question 8
8.
Which of the following are not cyclic quadrilaterals?
a)
rhombus
b)
square
c)
isosceles trapezium
d)
rectangle
e)
kite
  • {b,a}
  • {d,b,a}
  • {a,e}
  • {c,e}
  • {c,e,a}
Question 9
9.
Which of the following statements are true?
a)
The diameter divides the circle into two unequal parts.
b)
The midpoint of any diameter of a circle is its centre.
c)
The longest of all chords of a circle is called diameter.
d)
A sector is the area enclosed by two radii and a chord.
e)
Two chords bisect each other.
  • {b,c}
  • {d,c}
  • {a,b}
  • {d,c,b}
  • {e,a,b}
Question 10
10.
Which of the following are cyclic quadrilaterals?
a)
square
b)
triangle
c)
rhombus
d)
rectangle
e)
trapezium
f)
parallelogram
  • {b,d,a}
  • {c,d}
  • {b,a}
  • {a,d}
  • {e,f,a}