SSC Board Practice

SSC Grade X - Tangents and Secants to a Circle
Question 1
1.
The angle subtended by the semicircle at the centre is
  • 185°
  • 195°
  • 190°
  • 180°
  • 210°
Question 2
2.
O is the centre of the circumcircle of △HIJ. Tangents at H and J intersect at K. If ∠HKJ = 39.62°, find ∠JIH
  • 75.19°
  • 80.19°
  • 70.19°
  • 85.19°
  • 100.19°
Question 3
3.
In the given figure, arcs of two concentric circles of radii 20.00 cm and 6.00 cm are drawn with center O. If ∠EOF = 50°, find the area of the shaded region
  • 158.89 sq.cm
  • 145.89 sq.cm
  • 180.89 sq.cm
  • 152.89 sq.cm
  • 162.89 sq.cm
Question 4
4.
If two circles of radii 12 cm and 2 cm touch internally, the distance between their centres is
  • 9 cm
  • 8 cm
  • 12 cm
  • 10 cm
  • 11 cm
Question 5
5.
A chord that passes through the centre of the circle is called
  • major segment
  • radius
  • diameter
  • semi-circle
  • circumference
Question 6
6.
In the given figure, BC = 7 cm and AB = 13 cm. Find the area of the shaded region
  • 107.79 sq.cm
  • 125.79 sq.cm
  • 111.79 sq.cm
  • 153.79 sq.cm
  • 140.79 sq.cm
Question 7
7.
A line which touches a circle at only one point is called a
  • tangent
  • segment
  • centre
  • quadrant
  • diameter
Question 8
8.
    • The minor arc of the circle is
  • DFEHD
  • IDFEI
  • DGE
  • DFE
  • DGEHD
Question 9
9.
In the given figure, O is the centre of the circle and LM is the tangent at I. If ∠JIK = 37° and ∠LIJ = 79°, find ∠IKJ
  • 42°
  • 52°
  • 72°
  • 47°
  • 57°
Question 10
10.
The segment of the circle containing the centre of the circle is called
  • radius
  • chord
  • diameter
  • major segment
  • centre