SSC Board Practice

Class VI Class VII Class VIII Class IX Class X
SSC Grade X - Tangents and Secants to a Circle
Question 1
1.
In the given figure ,PQRS is the diameter of the circle of radius 7.50 cm and PQ = QR = RS. Find the area of the shaded region
  • 103.86 sq.cm
  • 117.86 sq.cm
  • 119.86 sq.cm
  • 109.86 sq.cm
  • 133.86 sq.cm
Question 2
2.
In the given figure, O is the centre of the circle and JL is the tangent at K . If ∠IHK = 25°, find ∠IJK
  • 55°
  • 45°
  • 70°
  • 50°
  • 40°
Question 3
3.
Which of the following figures represent a secant ?
  • fig I
  • fig II
  • fig V
  • fig III
  • fig IV
Question 4
4.
    • The minor sector of the circle is
  • KMLOK
  • KNLOK
  • PKNLP
  • KNL
  • PKMLP
Question 5
5.
Which of the following statements are true?
a)
A sector is the area enclosed by two radii and a chord.
b)
A circle divides the plane on which it lies into three parts.
c)
The area enclosed by a chord and its major arc is called major segment.
d)
The area enclosed by a chord and its minor arc is called minor segment.
e)
The diameter divides the circle into two unequal parts.
  • {a,e,d}
  • {a,b,c}
  • {e,c}
  • {a,b}
  • {b,c,d}
Question 6
6.
    • If two circles
    • intersect
    • ,
    • the number of their common tangents is
  • 1
  • (-1)
  • 2
  • 4
  • 3
Question 7
7.
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 chords may be drawn for a circle.
c)
Every circle has a unique diameter.
d)
An infinite number of diameters may be drawn for a circle.
e)
Two semi-circles of a circle together make the whole circle.
  • {a,c,e}
  • {b,d,e}
  • {a,b,d}
  • {a,b}
  • {c,d}
Question 8
8.
Which of the following statements are true?
a)
If two circles touch externally, the square of the distance between their centres is the sum of the squares of their radii.
b)
If two circles touch internally, the distance between their centres is the difference of their radii.
c)
If two circles touch externally, the distance between their centres is the sum of their radii.
d)
If two circles touch externally, their centres and the point of contact form an isosceles triangle.
e)
If two circles touch internally, their centres and the point of contact form a scalene triangle.
f)
If two circles touch internally, the square of the distance between their centres is the difference of the squares of their radii.
  • {b,c}
  • {e,f,b}
  • {d,c}
  • {a,c,b}
  • {a,b}
Question 9
9.
    • The major arc of the circle is
  • CFDGC
  • CEDGC
  • CED
  • HCEDH
  • CFD
Question 10
10.
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
  • d
    =
    √
    (
    l
    2
     
    +
    r
    2
     
    		)
  • l
    =
    √
    (
    d
    2
     
    −
    r
    2
     
    		)
  • d
    =
    √
    (
    l
    2
     
    −
    r
    2
     
    		)
  • r
    =
    √
    (
    l
    2
     
    +
    d
    2
     
    		)
  • l
    =
    √
    (
    d
    2
     
    +
    r
    2
     
    		)