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 the tangents HK and JK meet at point K. If ∠IJH = 56°, find ∠HOJ
  • 127°
  • 142°
  • 117°
  • 122°
  • 112°
Question 2
2.
In the given figure, ∠H = 53° , ∠K = 55° and ∠L = 114°, find ∠KIJ
  • 72°
  • 52°
  • 57°
  • 47°
  • 42°
Question 3
3.
Which of the following statements are true?
a)
Two different tangents can meet at a point on the circle.
b)
If two tangents are parallel, the distance between them is equal to the diameter of the circle.
c)
If two tangents to a circle intersect, their points of contact with the circle together with their point of intersection form an isosceles triangle.
d)
A line parallel to a tangent is a secant.
e)
If two tangents are perpendicular, they form a right angled triangle with their points of contact with the circle and their point of intersection.
  • {a,b,c}
  • {a,b}
  • {a,d,e}
  • {d,c}
  • {b,c,e}
Question 4
4.
In the given figure, O is the centre of the circle and EG is the tangent at F. If ∠FGH = 46°,∠GFH = 33°, find ∠IFH
  • 78°
  • 68°
  • 73°
  • 98°
  • 83°
Question 5
5.
In the given figure, CDEF is a cyclic quadrilateral such that EC bisects ∠FCD and GH is the tangent at E. If ∠ECD = 58°, find ∠GED
  • 58°
  • 73°
  • 63°
  • 68°
  • 88°
Question 6
6.
In the given figure, O is the centre of the circle and the tangents IL and KL meet at point L. If ∠JKI = 48°, find ∠KLI
  • 89°
  • 99°
  • 84°
  • 94°
  • 114°
Question 7
7.
Which of the following statements are true?
a)
Every circle has a unique centre.
b)
Every circle has a unique diameter.
c)
A circle consists of an infinite number of points.
d)
Each radius of a circle is also a chord of the circle.
e)
A line can meet a circle atmost at two points.
  • {b,d,e}
  • {b,a,c}
  • {a,c,e}
  • {b,a}
  • {d,c}
Question 8
8.
IJ is a line segment and L is its mid-point. Three semi-circles are drawn with IL , LJ and IJ as diameters. K , M and L respectively are the centres of these semi-circles. A new circle is drawn touching these three semi-circles. Find its radius, given IK = 7 cm
  • 2.67 cm
  • 6.67 cm
  • 3.67 cm
  • 5.67 cm
  • 4.67 cm
Question 9
9.
Which of the following statements are true?
a)
Atmost one common tangent can be drawn for any two concentric circles.
b)
Atmost three common tangents can be drawn touching two circles which touch each other.
c)
A maximum of four common tangents can be drawn touching any two circles.
d)
Atmost two common tangents can be drawn touching any two circles.
  • {a,d,b}
  • {d,c}
  • {a,c,b}
  • {b,c}
  • {a,b}
Question 10
10.
Which of the following are cyclic quadrilaterals?
a)
rhombus
b)
parallelogram
c)
square
d)
trapezium
e)
rectangle
f)
triangle
  • {b,e}
  • {c,e}
  • {a,c}
  • {d,f,c}
  • {a,e,c}