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
  • diameter
  • segment
  • chord
  • major segment
  • centre
Question 2
2.
Which of the following figures represent a secant ?
  • fig I
  • fig IV
  • fig II
  • fig III
  • fig V
Question 3
3.
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
     
    		)
  • l
    =
    √
    (
    d
    2
     
    +
    r
    2
     
    		)
  • d
    =
    √
    (
    l
    2
     
    +
    r
    2
     
    		)
  • d
    =
    √
    (
    l
    2
     
    −
    r
    2
     
    		)
Question 4
4.
Which of the following statements are true?
a)
Equal length chords are equidistant from the centre of the circle.
b)
The farther the chord is from the centre, the larger the angle it subtends at the centre.
c)
No two chords bisects each other.
d)
Equal length chords subtend equal angles at the centre of the circle.
e)
The longest chord of the circle passes through the centre of the circle.
  • {b,c,e}
  • {b,a}
  • {c,d}
  • {a,d,e}
  • {b,a,d}
Question 5
5.
If ABCD is a cyclic quadrilateral and ∠A − ∠C = 94°, then ∠C
  • 48°
  • 58°
  • 73°
  • 43°
  • 53°
Question 6
6.
In the given figure, O is the centre of the circle and KL is the tangent at G. If ∠GJI = 47°, find ∠GHI
  • 148°
  • 163°
  • 133°
  • 143°
  • 138°
Question 7
7.
In the given figure, O is the centre of the circle and IJ is the tangent at F. If ∠HFG = 58° and ∠GFJ = 41°, find ∠HGF
  • 96°
  • 111°
  • 86°
  • 91°
  • 81°
Question 8
8.
BC is a line segment and E is its mid-point. Three semi-circles are drawn with BE , EC and BC as diameters. D , F and E respectively are the centres of these semi-circles. A new circle is drawn touching these three semi-circles. Find its radius, given BD = 8 cm
  • 7.33 cm
  • 5.33 cm
  • 3.33 cm
  • 4.33 cm
  • 6.33 cm
Question 9
9.
In the given figure, GH and IJ are parallel tangents to the circle with centre O. GJ is another tangent meeting GH and IJ at G and J. Find ∠GOJ
  • 105°
  • 95°
  • 120°
  • 90°
  • 100°
Question 10
10.
A line segment having its end points on the circle is called a
  • centre
  • diameter
  • circumference
  • major segment
  • chord