CBSE Board Practice

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CBSE Grade IX - Circles

Question 1

1.	In the given triangle S is the circumcentre. If SG = 13.60 cm, find the circumference of the circumcircle
	86.5 cm 84.5 cm 83.5 cm 85.5 cm 87.5 cm

Question 2

2.	Identify the figure below
	hexagon quadrilateral heptagon pentagon circle

Question 3

3.	In the given figure, O is the centre of the circle. If ∠OHJ = 43°, find ∠I
	148° 133° 138° 163° 143°

Question 4

4.	In the given figure, EFGHIJ is a regular hexagon. Find ∠EGF
	60° 40° 45° 35° 30°

Question 5

5.	In the given figure, O is the centre of the circle. If ∠GHK = 115° and ∠HIJ = 111°, find ∠ILJ
	51° 61° 56° 46° 76°

Question 6

6.	Which of the following statements are true?
	a) Angle subtended in the major segment is obtuse. b) Angle subtended by the major arc in its alternate segment is obtuse. c) The angle subtended in a semicircle is a right angle. d) Angle subtended by the major arc at the centre is acute. e) If two chords are equal, then they are equidistant from the centre of the circle.
	{a,d,e} {a,b,c} {d,c} {a,b} {b,c,e}

Question 7

7.	In the given figure, a pentagon is inscribed in a circle with centre O. Given EF = FG = GH and ∠EFG = 128°. Find ∠GOH
	67° 57° 52° 62° 82°

Question 8

8.	In the given figure, O is the centre of the circle and chord FG is equal to chord GH and GJ is a diameter. If ∠JFO = 29° and ∠HIJ = 119°, find ∠FGH
	132° 127° 152° 137° 122°

Question 9

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

Question 10

10.	An arc subtends 31° in its alternate segment. The angle made by its corresponding major arc at the centre is
	298° 313° 328° 303° 308°

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