CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Circles
Question 1
1.
Which of the following statements are true?
a)
A cyclic parallelogram is a rhombus.
b)
A cyclic parallelogram is a rectangle.
c)
A cyclic kite is a square.
d)
A cyclic trapezium is a rectangle.
e)
A cyclic rhombus is a square.
  • {c,e,b}
  • {a,b}
  • {b,e}
  • {c,e}
  • {d,a,b}
Question 2
2.
In the given figure, ∠D = 81° , ∠G = 86° and ∠H = 94°, find ∠GEF
  • 81°
  • 86°
  • 111°
  • 96°
  • 91°
Question 3
3.
    • If two circles
    • intersect
    • ,
    • the number of their common tangents is
  • 3
  • (-1)
  • 4
  • 1
  • 2
Question 4
4.
Half of a circle is called
  • segment
  • circumference
  • major segment
  • centre
  • semi-circle
Question 5
5.
In the given figure, EFGH is cyclic quadrilateral. If ∠FGH = 79°, find ∠DEH
  • 79°
  • 109°
  • 84°
  • 94°
  • 89°
Question 6
6.
Which of the following statements are true?
a)
If two circles touch externally, the square of the distance between their centres is the sum of the squares of their radii.
b)
If two circles touch externally, their centres and the point of contact form an isosceles triangle.
c)
If two circles touch internally, their centres and the point of contact form a scalene triangle.
d)
If two circles touch internally, the distance between their centres is the difference of their radii.
e)
If two circles touch externally, the distance between their centres is the sum of their radii.
f)
If two circles touch internally, the square of the distance between their centres is the difference of the squares of their radii.
  • {a,d}
  • {d,e}
  • {b,e}
  • {a,e,d}
  • {c,f,d}
Question 7
7.
Which of the following statements are true?
a)
If two circles intersect, then two common tangents can be drawn.
b)
There exists four common tangents for any two non-intersecting circles.
c)
If two circles touch each other internally, there is only one common tangent.
d)
If two circles touch each other externally, there is only one common tangent.
  • {d,a,b}
  • {a,b,c}
  • {d,a}
  • {d,c}
  • {d,b}
Question 8
8.
If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is
  • equilateral triangle
  • acute angled triangle
  • obtuse angled triangle
  • right angle triangle
Question 9
9.
Two circles are of radii 5 cm and 4 cm. If the distance between their centres is 14 cm, what is the length of their direct common tangent?
  • 15.96 cm
  • 11.96 cm
  • 13.96 cm
  • 14.96 cm
  • 12.96 cm
Question 10
10.
Which of the following statements are true?
a)
A sector is the area enclosed by two radii and a chord.
b)
The diameter divides the circle into two unequal parts.
c)
The area enclosed by a chord and its minor arc is called minor segment.
d)
A circle divides the plane on which it lies into three parts.
e)
The area enclosed by a chord and its major arc is called major segment.
  • {a,b,e}
  • {a,c}
  • {c,d,e}
  • {a,c,d}
  • {b,d}