SSC Board Practice

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SSC Grade X - Tangents and Secants to a Circle

Question 1

1.	The diameters of the circle are
	OJ     ,   OK     ,   OL     ,   OM     ,   ON     ,   LN       JK     ,   KL     ,   LM     ,   MN     ,   NJ     ,   LN       OJ     ,   OK     ,   OL     ,   OM     ,   ON       JK     ,   KL     ,   LM     ,   MN     ,   NJ       LN

Question 2

2.	The given figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii. The radius of each big semi-circle is 10.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region
	288.29 sq.cm 336.29 sq.cm 314.29 sq.cm 316.29 sq.cm 309.29 sq.cm

Question 3

3.	The angle subtended by the diameter at any point on the circle is
	120° 105° 100° 95° 90°

Question 4

4.	A line which touches a circle at only one point is called a
	tangent quadrant semi-circle circumference centre

Question 5

5.	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 6

6.	In the given figure, the radius of the circle is 10 cm. Find the area of the minor sector
	83.57 sq.cm 75.57 sq.cm 73.57 sq.cm 81.57 sq.cm 78.57 sq.cm

Question 7

7.	In the given figure, BC = 12 cm and AB = 10 cm. Find the perimeter of the shaded region
	83.71 cm 81.71 cm 86.71 cm 91.71 cm 89.71 cm

Question 8

8.	'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane. If     OP     = r ,then P is
	on the circle outside the circle inside the circle

Question 9

9.	Which of the following statements are true?
	a) Atmost two common tangents can be drawn touching any two circles. b) Atmost three common tangents can be drawn touching two circles which touch each other. c) A maximum of four common tangents can be drawn touching any two circles. d) Atmost one common tangent can be drawn for any two concentric circles.
	{a,c,b} {a,d,b} {b,c} {d,c} {a,b}

Question 10

10.	Points which lie on the circumference of the circle are called
	Coincident points Concyclic points Similar points Concurrent points Cyclic points

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