SSC Board Practice

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SSC Grade X - Tangents and Secants to a Circle
Question 1
1.
In the given figure, O is the centre of the circle and the tangents IL and KL meet at point L. If ∠JKI = 49°, find ∠IOK
  • 128°
  • 98°
  • 108°
  • 103°
  • 113°
Question 2
2.
In the given figure , ABCD is a trapezium. A quarter circle AEFD is removed from the trapezium. If AD = CD = 13 and EB = 3.1 , find the area of the remaining portion
  • 51.37 sq.cm
  • 56.37 sq.cm
  • 61.37 sq.cm
  • 53.37 sq.cm
  • 59.37 sq.cm
Question 3
3.
    • The major segment of the circle is
  • ADBEA
  • ADB
  • ACB
  • FACBF
  • FADBF
Question 4
4.
O is the centre of the circle. If ∠ACB = 54° and ∠CAD = 53°, find x°, y°
  • 36°, 37°
  • 37°, 36°
  • 67°, 56°
  • 27°, 36°
  • 47°, 46°
Question 5
5.
If the diameter of a circle is 196 cm, what is its radius?
  • 97 cm
  • 96 cm
  • 99 cm
  • 98 cm
  • 100 cm
Question 6
6.
    • The radii of the circle are
  •  

    DE
     
     
    ,
     

    EF
     
     
    ,
     

    FG
     
     
    ,
     

    GH
     
     
    ,
     

    HD
     
     
    ,
     

    ID
     
     
  •  

    ID
     
     
    ,
     

    IE
     
     
    ,
     

    IF
     
     
    ,
     

    IG
     
     
    ,
     

    IH
     
     
  •  

    DE
     
     
    ,
     

    EF
     
     
    ,
     

    FG
     
     
    ,
     

    GH
     
     
    ,
     

    HD
     
     
    ,
     

    FH
     
     
  •  

    DE
     
     
    ,
     

    EF
     
     
    ,
     

    FG
     
     
    ,
     

    GH
     
     
    ,
     

    HD
     
     
  •  

    EF
     
     
    ,
     

    FG
     
     
    ,
     

    GH
     
     
    ,
     

    HD
     
     
Question 7
7.
If the radius of a circle is 14 cm, what is its circumference?
  • 86 cm
  • 89 cm
  • 90 cm
  • 87 cm
  • 88 cm
Question 8
8.
The point of intersection of the angular bisectors of a triangle is
  • circumcentre
  • excentre
  • orthocentre
  • incentre
  • centroid
Question 9
9.
Which of the following statements are true?
a)
One and only one tangent can be drawn to a circle from a point outside it.
b)
An infinite number of diameters may be drawn for a circle.
c)
Two semi-circles of a circle together make the whole circle.
d)
An infinite number of chords may be drawn for a circle.
e)
Every circle has a unique diameter.
  • {e,c}
  • {a,e,d}
  • {b,c,d}
  • {a,b}
  • {a,b,c}
Question 10
10.
Which of the following statements are true?
a)
A maximum of four common tangents can be drawn touching any two circles.
b)
Atmost one common tangent can be drawn for any two concentric circles.
c)
Atmost two common tangents can be drawn touching any two circles.
d)
Atmost three common tangents can be drawn touching two circles which touch each other.
  • {c,d}
  • {a,d}
  • {b,d,a}
  • {b,c,a}
  • {b,a}