ICSE Board Practice

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ICSE Grade X - Chord Properties of a Circle

Question 1

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

Question 2

2.	The radii of the circle are
	DE     ,   EF     ,   FG     ,   GH     ,   HD       ID     ,   IE     ,   IF     ,   IG     ,   IH       DE     ,   EF     ,   FG     ,   GH     ,   HD     ,   FH       DE     ,   EF     ,   FG     ,   GH     ,   HD     ,   IE       EF     ,   FG     ,   GH     ,   HD

Question 3

3.	In the given triangle S is the circumcentre. If SA = 13.50 cm, find the circumference of the circumcircle
	84.9 cm 82.9 cm 83.9 cm 85.9 cm 86.9 cm

Question 4

4.	In triangle IJK, if a circle is drawn with JK as diameter and if it passes through I it is a
	obtuse angled triangle equilateral triangle right angle triangle acute angled triangle

Question 5

5.	GH , IJ , KL , MN are chords of a circle with GH = 7 cm , IJ = 1 cm , KL = 7.7 cm and MN = 6.03 cm. The chord farthest from the centre of the circle is
	KL = 7.7 cm IJ = 1 cm GH = 7 cm MN = 6.03 cm

Question 6

6.	A chord of a circle divides the whole circular region into two parts, each called a
	semi-circle diameter centre segment major segment

Question 7

7.	In the given figure, O is the centre of the circle, and OM ⟂ IJ. If ∠IJK = 41°, find ∠OLK
	64° 49° 79° 54° 59°

Question 8

8.	In the given figure, IJ & KL are diameters of the circle. If ∠IJK = 49° find, ∠JOK
	112° 97° 87° 82° 92°

Question 9

9.	Which of the following statements are true?
	a) A secant has two end points. b) A diameter is a limiting case of a chord. c) A radius is a limiting case of a diameter. d) A secant and a chord are same. e) A tangent is the limiting case of a secant.
	{c,e,b} {a,b} {d,a,b} {c,e} {b,e}

Question 10

10.	The segment of the circle containing the centre of the circle is called
	chord major segment segment diameter centre

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