CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Circles
Question 1
1.
In the given figure, O is the centre of the circle and FG is the tangent at C. If ∠DCE = 33° and ∠FCD = 41°, find ∠ECG
  • 136°
  • 116°
  • 106°
  • 111°
  • 121°
Question 2
2.
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 internally, their centres and the point of contact form a scalene triangle.
c)
If two circles touch externally, their centres and the point of contact form an isosceles triangle.
d)
If two circles touch internally, the distance between their centres is the difference of their radii.
e)
If two circles touch internally, the square of the distance between their centres is the difference of the squares of their radii.
f)
If two circles touch externally, the distance between their centres is the sum of their radii.
  • {d,f}
  • {a,d}
  • {a,f,d}
  • {b,f}
  • {c,e,d}
Question 3
3.
In the given figure, BC and DE are parallel tangents to the circle with centre O. BE is another tangent meeting BC and DE at B and E. Find ∠BOE
  • 90°
  • 120°
  • 95°
  • 105°
  • 100°
Question 4
4.
In the given figure, AD is the common tangent to the two circles. AB & AC are also tangents. Given AB = 13 cm, find AC
  • 14 cm
  • 13 cm
  • 12 cm
  • 11 cm
  • 15 cm
Question 5
5.
A line segment joining any point on the circle with its centre is called
  • circumference
  • semi-circle
  • chord
  • major segment
  • radius
Question 6
6.
In the given figure, ∠J = 49° , ∠M = 43° and ∠N = 129°, find ∠MKL
  • 51°
  • 71°
  • 46°
  • 56°
  • 41°
Question 7
7.
    • The distance between the centres of two circles is
    • d
    • .
    • If the radii are
    • r

      1
    • and
    • r

      2
    • ,
    • the length of their direct common tangent is
  • √
    d
    2
    −
    (
    r

    1
    		  +  
    r

    2
    )
    2
  • None of these
  • √
    d
    2
    −
    (
    r

    1
    		  −  
    r

    2
    )
    2
  • √
    d
    2
    +
    (
    r

    1
    		  −  
    r

    2
    )
    2
  • √
    d
    2
    +
    (
    r

    1
    		  +  
    r

    2
    )
    2
Question 8
8.
In the given figure, BR & CR are tangents to the circle with centre O. Given ∠BRC = 51°, find ∠BOC
  • 129°
  • 144°
  • 139°
  • 159°
  • 134°
Question 9
9.
If the two radii OP and OQ of a circle are at right angles to each other, then the sector OPQ is called a
  • centre
  • radius
  • quadrant
  • chord
  • secant
Question 10
10.
Which of the following statements are true?
a)
A cyclic trapezium is a rectangle.
b)
A cyclic parallelogram is a rhombus.
c)
A cyclic parallelogram is a rectangle.
d)
A cyclic rhombus is a square.
e)
A cyclic kite is a square.
  • {b,d}
  • {b,d,c}
  • {c,d}
  • {e,a,c}
  • {a,c}