ICSE Board Practice

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ICSE Grade X - Chord Properties of a Circle

Question 1

1.	Which of the following statements are true?
	a) An infinite number of chords may be drawn for a circle. b) An infinite number of diameters may be drawn for a circle. c) Two semi-circles of a circle together make the whole circle. d) Every circle has a unique diameter. e) One and only one tangent can be drawn to a circle from a point outside it.
	{d,a} {e,b} {d,e,c} {d,a,b} {a,b,c}

Question 2

2.	Identify the figure below
	triangle circle hexagon nonagon decagon

Question 3

3.	The radii of the circle are
	EF     ,   FG     ,   GH     ,   HI     ,   IE     ,   JH       EF     ,   FG     ,   GH     ,   HI     ,   IE     ,   GI       JE     ,   JF     ,   JG     ,   JH     ,   JI       EF     ,   FG     ,   GH     ,   HI     ,   IE       FG     ,   GH     ,   HI     ,   IE

Question 4

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

Question 5

5.	In the given figure EG & FG are equal length chords of the circle. Find ∠GEF
	45° 50° 55° 60° 75°

Question 6

6.	The angle subtended by the semicircle at the centre is
	195° 210° 185° 180° 190°

Question 7

7.	In the given figure, O is the centre of the circle. C is a point on chord AB such that AC = CB. Find ∠OCA
	90° 120° 95° 100° 105°

Question 8

8.	In the given figure, AB ∥ CD. Length of chords AB = 17 cm and CD = 16 cm. If the distance between the chords is 18 cm , find the radius of the circle
	11.21 cm 13.21 cm 12.21 cm 14.21 cm 10.21 cm

Question 9

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

Question 10

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

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