ICSE Board Practice

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ICSE Grade VII - Circles

Question 1

1.	Which of the following statements are true?
	a) Two tangents to a circle always intersect. b) Only two tangents can be drawn from a point outside the circle. c) Only one tangent can be drawn through a point on a circle. d) The sides of a triangle can be tangents to a circle. e) Atmost one tangent can be drawn through a point inside the circle.
	{b,c,d} {a,b} {e,c} {a,e,d} {a,b,c}

Question 2

2.	The angle between a tangent to a circle and the radius drawn at the point of contact is
	105° 95° 100° 90° 120°

Question 3

3.	The radii of the circle are
	KL     ,   LM     ,   MN     ,   NO     ,   OJ       JK     ,   KL     ,   LM     ,   MN     ,   NO     ,   OJ     ,   PM       JK     ,   KL     ,   LM     ,   MN     ,   NO     ,   OJ       PJ     ,   PK     ,   PL     ,   PM     ,   PN     ,   PO       JK     ,   KL     ,   LM     ,   MN     ,   NO     ,   OJ     ,   MO

Question 4

4.	Which of the following statements are true?
	a) Exactly two tangents can be drawn parallel to a secant. b) Only one circle can be drawn with a centre. c) Infinite circles can be drawn passing through three collinear points. d) Only one circle can be drawn passing through two points. e) Atmost one circle can be drawn passing through three non-collinear points.
	{d,b,a} {c,e,a} {c,e} {b,a} {a,e}

Question 5

5.	Two circles with equal radii are
	only similar but not congruent concentric not similar congruent

Question 6

6.	A line segment joining any point on the circle with its centre is called
	radius major segment semi-circle diameter segment

Question 7

7.	Identify the figure below
	circle heptagon decagon triangle pentagon

Question 8

8.	The chords of the circle are
	PL     ,   PM     ,   PN     ,   PO       LM     ,   MN     ,   NO     ,   OL     ,   PL       LM     ,   MN     ,   NO     ,   OL     ,   MO       LM     ,   MN     ,   NO     ,   OL       MN     ,   NO     ,   OL

Question 9

9.	Find the points belonging to the outside of the circle
	{N,O} {M,P} {N,M} {L,O} {N,Q}

Question 10

10.	Find the points belonging to the inside of the circle
	{C,F} {B,C} {A,D} {E,A} {B,E}

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