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 secant of a circle is a segment having its end points on the circle.
b)
Every circle has a unique diameter.
c)
One and only one tangent can be drawn to a circle from a point outside it.
d)
One and only one tangent can be drawn to pass through a point on a circle.
e)
Diameter of a circle is a part of the semi-circle of the circle.
  • {a,d}
  • {d,e}
  • {b,e,d}
  • {b,e}
  • {c,a,d}
Question 2
2.
Which of the following figures represent a tangent ?
  • fig I
  • fig V
  • fig III
  • fig IV
  • fig II
Question 3
3.
In the given figure, IL is the common tangent to the two circles. IJ & IK are also tangents. Given IJ = 15 cm, find IK
  • 13 cm
  • 15 cm
  • 17 cm
  • 14 cm
  • 16 cm
Question 4
4.
In the given figure, IG and IH are tangent segments to the circle with centre O. Given ∠HIJ = 34°, find ∠GHO
  • 34°
  • 39°
  • 64°
  • 44°
  • 49°
Question 5
5.
The segment of the circle containing the centre of the circle is called
  • major segment
  • diameter
  • circumference
  • radius
  • semi-circle
Question 6
6.
In the given figure, two circles intersect at points C & D. A tangent is drawn at point E. From the same point, two lines are drawn passing through points C & D. They meet the other end of the second circle at B & A. Given ∠E = 70°, find ∠ABC
  • 70°
  • 100°
  • 85°
  • 75°
  • 80°
Question 7
7.
If 'l' is the length of the tangent drawn to a circle with radius 'r' from point 'P' which is 'd' cm away from the centre, then
  • r
    =
    √
    (
    l
    2
     
    +
    d
    2
     
    		)
  • l
    =
    √
    (
    d
    2
     
    +
    r
    2
     
    		)
  • d
    =
    √
    (
    l
    2
     
    −
    r
    2
     
    		)
  • l
    =
    √
    (
    d
    2
     
    −
    r
    2
     
    		)
  • d
    =
    √
    (
    l
    2
     
    +
    r
    2
     
    		)
Question 8
8.
In the given figure, O is the centre of the circle and BD is the tangent at C. If ∠CDE = 41°,∠DCE = 37°, find ∠FCE
  • 95°
  • 80°
  • 75°
  • 65°
  • 70°
Question 9
9.
Which of the following statements are true?
a)
Angles subtended by equal length arcs in two circles are equal.
b)
Angles in the same segment are equal.
c)
Angles in the opposite segments are supplementary.
d)
Angles in the opposite segments are complementary.
  • {b,c}
  • {a,d,b}
  • {a,c,b}
  • {a,b}
  • {d,c}
Question 10
10.
In the given figure, GHIJ is cyclic quadrilateral. If ∠HIJ = 92°, find ∠FGJ
  • 107°
  • 92°
  • 97°
  • 122°
  • 102°