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.
If the diameter of a circle is 126 cm, what is its radius?
  • 63 cm
  • 62 cm
  • 64 cm
  • 65 cm
  • 61 cm
Question 2
2.
If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is
  • obtuse angled triangle
  • right angle triangle
  • equilateral triangle
  • acute angled triangle
Question 3
3.
In the given figure, ABCD is a square of side 11.00 cm and A, B, C, D are the centres of circular arcs, each of radius 5.50 cm. Find the area of the shaded region
  • 28.93 sq.cm
  • 25.93 sq.cm
  • 20.93 sq.cm
  • 22.93 sq.cm
  • 30.93 sq.cm
Question 4
4.
Circles having common centre are called
  • similar circles
  • congruent circles
  • intersecting circles
  • concentric circles
Question 5
5.
A line segment having its end points on the circle is called a
  • segment
  • centre
  • chord
  • diameter
  • radius
Question 6
6.
The mid-point of the diameter of a circle is called
  • chord
  • semi-circle
  • centre
  • diameter
  • major segment
Question 7
7.
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 8
8.
In the given figure, O is the centre of the circle and the tangents DG and FG meet at point G. If ∠EFD = 48°, find ∠DOF
  • 101°
  • 96°
  • 106°
  • 126°
  • 111°
Question 9
9.
'A' and 'B' are centres of circles of radii 3 cm and 17 cm such that AB = 26 cm and 'C' is the centre of the circle of radius 'r' cm which touches the above circles externally. If ∠ACB = 90°, find 'r'
  • 7 cm
  • 8 cm
  • 9 cm
  • 6 cm
  • 5 cm
Question 10
10.
Which of the following statements are true?
a)
The longest chord of the circle passes through the centre of the circle.
b)
Equal length chords subtend equal angles at the centre of the circle.
c)
The farther the chord is from the centre, the larger the angle it subtends at the centre.
d)
No two chords bisects each other.
e)
Equal length chords are equidistant from the centre of the circle.
  • {c,a,b}
  • {c,a}
  • {a,b,e}
  • {d,b}
  • {c,d,e}