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 EF is the tangent at B. If ∠OCB = 39.5°, find ∠FBC
  • 65.5°
  • 50.5°
  • 80.5°
  • 60.5°
  • 55.5°
Question 2
2.
In the given figure, O is the centre of the circle and DE is the tangent at A. If ∠BAC = 43° and ∠DAB = 49°, find ∠CAE
  • 98°
  • 93°
  • 118°
  • 88°
  • 103°
Question 3
3.
In the given figure, a circle is inscribed touching the sides of an equilateral triangle of side 16 cm. Find the area of the shaded region
  • 40.80 sq.cm
  • 38.80 sq.cm
  • 46.80 sq.cm
  • 48.80 sq.cm
  • 43.80 sq.cm
Question 4
4.
Half of a circle is called
  • semi-circle
  • centre
  • segment
  • chord
  • diameter
Question 5
5.
Which of the following statements are true?
a)
A line parallel to a tangent is a secant.
b)
If two tangents to a circle intersect, their points of contact with the circle together with their point of intersection form an isosceles triangle.
c)
If two tangents are perpendicular, they form a right angled triangle with their points of contact with the circle and their point of intersection.
d)
Two different tangents can meet at a point on the circle.
e)
If two tangents are parallel, the distance between them is equal to the diameter of the circle.
  • {d,c}
  • {a,b,c}
  • {a,d,e}
  • {a,b}
  • {b,c,e}
Question 6
6.
In the given figure, ABCD is a square with side 20.00 cm. Find the area of the shaded region
  • 223.57 sq.cm
  • 228.57 sq.cm
  • 200.57 sq.cm
  • 241.57 sq.cm
  • 242.57 sq.cm
Question 7
7.
In the given figure, CF is the common tangent to the two circles. CD & CE are also tangents. Given CD = 14 cm, find CE
  • 16 cm
  • 15 cm
  • 14 cm
  • 12 cm
  • 13 cm
Question 8
8.
    • The centre of the circle is
  • L
  • N
  • M
  • K
  • Q
Question 9
9.
Which of the following statements are true?
a)
A chord divides a circle into two sectors.
b)
The radius is the shortest chord.
c)
The diameter is the longest chord.
d)
A chord divides a circle into two segments.
e)
Atmost one chord can be drawn on a circle with a certain length.
  • {b,d,c}
  • {c,d}
  • {b,d}
  • {e,a,c}
  • {a,c}
Question 10
10.
If two circles of radii 13 cm and 3 cm touch externally, the distance between their centres is
  • 17 cm
  • 16 cm
  • 18 cm
  • 14 cm
  • 15 cm