CBSE Board Practice

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CBSE Grade X - Circles
Question 1
1.
In triangle IJK, if a circle is drawn with JK as diameter and if it passes through I it is a
  • right angle triangle
  • equilateral triangle
  • obtuse angled triangle
  • acute angled triangle
Question 2
2.
The opposite angles in a cyclic quadrilateral are
  • linear pair
  • equal
  • supplementary
  • complementary
Question 3
3.
A chord that passes through the centre of the circle is called
  • radius
  • circumference
  • diameter
  • major segment
  • semi-circle
Question 4
4.
Which of the following statements are true?
a)
If a circle can be inscribed in a quadrilateral, it must be a kite.
b)
It is always possible to inscribe a circle in a quadrilateral.
c)
If a circle can be inscribed in a quadrilateral, the sum of the lengths of a pair of opposite sides is equal to the other pair.
d)
If a circle can be inscribed in a quadrilateral, then it must be a square.
e)
It is always possible to inscribe a circle in a regular polygon.
  • {c,e}
  • {b,e,c}
  • {b,e}
  • {d,a,c}
  • {a,c}
Question 5
5.
In the given figure, O is the centre of the circle and LM is the tangent at H. If ∠HKJ = 56°, find ∠MHJ
  • 86°
  • 61°
  • 71°
  • 66°
  • 56°
Question 6
6.
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)
Atmost two common tangents can be drawn touching any two circles.
d)
A maximum of four common tangents can be drawn touching any two circles.
  • {a,b}
  • {a,d,b}
  • {a,c,b}
  • {b,d}
  • {c,d}
Question 7
7.
A line which touches a circle at only one point is called a
  • secant
  • tangent
  • major segment
  • segment
  • quadrant
Question 8
8.
In the given figure, ABCD is a cyclic quadrilateral such that CA bisects ∠DAB and EF is the tangent at C. If ∠CAB = 51°, find ∠ECB
  • 81°
  • 61°
  • 56°
  • 66°
  • 51°
Question 9
9.
In the given figure, O is the centre of the circle and JK is the tangent at I. If ∠IHG = 29°, find ∠KIG
  • 34°
  • 39°
  • 44°
  • 29°
  • 59°
Question 10
10.
Which of the following figures represent a tangent ?
  • fig I
  • fig III
  • fig IV
  • fig V
  • fig II