SSC Board Practice

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SSC Grade X - Tangents and Secants to a Circle
Question 1
1.
Which of the following statements are true?
a)
Two tangents to a circle always intersect.
b)
Only one tangent can be drawn through a point on a circle.
c)
The sides of a triangle can be tangents to a circle.
d)
Atmost one tangent can be drawn through a point inside the circle.
e)
Only two tangents can be drawn from a point outside the circle.
  • {b,c,e}
  • {a,b}
  • {a,b,c}
  • {a,d,e}
  • {d,c}
Question 2
2.
Two circles with radii R and r touch internally. If the distance between their centres is d, then
  • d > R - r
  • d = R - r
  • d < R + r
  • d = R + r
  • d < R - r
Question 3
3.
    • 'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
    • If
    •  
    •  

      OP
       
       
    • = r ,then P is
  • inside the circle
  • outside the circle
  • on the circle
Question 4
4.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
One and only one tangent can be drawn to pass through a point on a circle.
c)
A secant of a circle is a segment having its end points on the circle.
d)
One and only one tangent can be drawn to a circle from a point outside it.
e)
Diameter of a circle is a part of the semi-circle of the circle.
  • {c,e,b}
  • {c,e}
  • {a,b}
  • {d,a,b}
  • {b,e}
Question 5
5.
Find the area of the shaded region
  • 126.00 sq.cm
  • 142.00 sq.cm
  • 110.00 sq.cm
  • 111.00 sq.cm
  • 133.00 sq.cm
Question 6
6.
Circles having common centre are called
  • concentric circles
  • congruent circles
  • intersecting circles
  • similar circles
Question 7
7.
    • If two circles
    • intersect
    • ,
    • the number of their common tangents is
  • 3
  • 5
  • 1
  • (-1)
  • 2
Question 8
8.
In the below figure, BCPA is a quadrant of a circle. BC = 18.00 cm and CQA is a semicircle with CA as the diameter. Find the area of the shaded region
  • 157.00 sq.cm
  • 162.00 sq.cm
  • 174.00 sq.cm
  • 190.00 sq.cm
  • 138.00 sq.cm
Question 9
9.
Which of the following figures represent a chord ?
  • fig III
  • fig II
  • fig I
  • fig IV
  • fig V
Question 10
10.
Which of the following statements are true?
a)
If two circles touch internally, the distance between their centres is the difference of their radii.
b)
If two circles touch internally, the square of the distance between their centres is the difference of the squares of their radii.
c)
If two circles touch internally, their centres and the point of contact form a scalene triangle.
d)
If two circles touch externally, their centres and the point of contact form an isosceles triangle.
e)
If two circles touch externally, the square of the distance between their centres is the sum of the squares of their radii.
f)
If two circles touch externally, the distance between their centres is the sum of their radii.
  • {c,f}
  • {d,e,a}
  • {b,a}
  • {a,f}
  • {b,f,a}