ICSE Board Practice

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ICSE Grade X - Chord Properties of a Circle

Question 1

1.	A line which touches a circle at only one point is called a
	tangent secant quadrant centre radius

Question 2

2.	Which of the following figures represent a diameter ?
	fig III fig I fig II fig V fig IV

Question 3

3.	The diameter LM of a circle with centre 'O' is perpendicular to the chord JK. If JK = 16.00 cm and LN = 2.12 cm, find the radius of the circle.
	15.12 cm 17.12 cm 18.12 cm 16.12 cm 14.12 cm

Question 4

4.	Find the side of the square in the following figure if the radius of the circle is 17.00 cm.
	24.04 cm 25.04 cm 22.04 cm 23.04 cm 26.04 cm

Question 5

5.	The perimeter of a circle is called
	chord circumference radius segment major segment

Question 6

6.	The chords of the circle are
	LM     ,   MN     ,   NO     ,   OP     ,   PQ     ,   QL       LM     ,   MN     ,   NO     ,   OP     ,   PQ     ,   QL     ,   RP       MN     ,   NO     ,   OP     ,   PQ     ,   QL       RL     ,   RM     ,   RN     ,   RO     ,   RP     ,   RQ       LM     ,   MN     ,   NO     ,   OP     ,   PQ     ,   QL     ,   OQ

Question 7

7.	In the given figure, DE ∥ FG. Length of chords DE = 13 cm and FG = 19 cm. If the distance between the chords is 4 cm , find the radius of the circle
	12.31 cm 8.31 cm 9.31 cm 10.31 cm 11.31 cm

Question 8

8.	The minor arc of the circle is
	JEHFJ EHFIE EGFIE JEGFJ EGF

Question 9

9.	In the given figure, two circles of radii BD = 10.2 cm & CD = 13.6 cm intersect at D & E. The distance between the centres BC = 20 cm, find the length of DE
	14.71 cm 10.71 cm 12.71 cm 13.71 cm 11.71 cm

Question 10

10.	In the given figure, △IJK is an isosceles such that IJ = IK. Given IO = 11 cm, IJ = IK = 19 cm, find JK
	21.16 cm 18.16 cm 20.16 cm 19.16 cm 17.16 cm

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