CBSE Board Practice

Class VI Class VII Class VIII Class IX Class X
CBSE Grade X - Circles
Question 1
1.
A chord that passes through the centre of the circle is called
  • chord
  • major segment
  • diameter
  • circumference
  • segment
Question 2
2.
The mid-point of the diameter of a circle is called
  • chord
  • circumference
  • segment
  • diameter
  • centre
Question 3
3.
Which of the following statements are true?
a)
The area enclosed by a chord and its major arc is called major segment.
b)
The diameter divides the circle into two unequal parts.
c)
A sector is the area enclosed by two radii and a chord.
d)
The area enclosed by a chord and its minor arc is called minor segment.
e)
A circle divides the plane on which it lies into three parts.
  • {c,d}
  • {b,c,e}
  • {b,a,d}
  • {a,d,e}
  • {b,a}
Question 4
4.
In the given figure, KLMO is a cyclic quadrilateral where LM and LK are produced to N and J respectively. If ∠JKO = 79°, find ∠NMO
  • 116°
  • 111°
  • 101°
  • 131°
  • 106°
Question 5
5.
In the given figure, ES & FS are tangents to the circle with centre O. Given ∠E = 21°, find ∠S
  • 72°
  • 47°
  • 57°
  • 42°
  • 52°
Question 6
6.
Two circles are of radii 1 cm and 4 cm. If the distance between their centres is 8 cm, what is the length of their transverse common tangent?
  • 6.24 cm
  • 8.24 cm
  • 7.24 cm
  • 4.24 cm
  • 5.24 cm
Question 7
7.
Which of the following statements are true?
a)
If a rhombus is cyclic, it is a square.
b)
A cyclic quadrilateral is a regular polygon.
c)
If a parallelogram is cyclic, it is a rectangle.
d)
If a kite is cyclic, it is a square.
e)
If a trapezium is cyclic, it is a rectangle.
  • {e,b,a}
  • {d,c,a}
  • {d,c}
  • {a,c}
  • {b,a}
Question 8
8.
In the given figure, O is the centre of the circle and the tangents FI and HI meet at point I. If ∠GHF = 52°, find ∠HIF
  • 86°
  • 106°
  • 76°
  • 91°
  • 81°
Question 9
9.
Which of the following statements are true?
a)
If two tangents are parallel, the distance between them is equal to the diameter of the circle.
b)
If two tangents to a circle intersect, their points of contact with the circle together with their point of intersection form an isosceles triangle.
c)
If two tangents are perpendicular, they form a right angled triangle with their points of contact with the circle and their point of intersection.
d)
A line parallel to a tangent is a secant.
e)
Two different tangents can meet at a point on the circle.
  • {a,b,c}
  • {e,b}
  • {d,a}
  • {d,a,b}
  • {d,e,c}
Question 10
10.
Which of the following statements are true?
a)
Atmost one chord can be drawn on a circle with a certain length.
b)
A chord divides a circle into two segments.
c)
A chord divides a circle into two sectors.
d)
The radius is the shortest chord.
e)
The diameter is the longest chord.
  • {d,a,b}
  • {c,e,b}
  • {b,e}
  • {c,e}
  • {a,b}