SSC Board Practice

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SSC Grade IX - Circles

Question 1

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

Question 2

2.	Half of a circle is called
	segment semi-circle radius chord centre

Question 3

3.	In the given figure, DEFG is a parallelogram. The circumcircle of △DEF cuts FG at H. Given ∠DGH = 70°, find ∠GDH
	70° 50° 45° 55° 40°

Question 4

4.	A line which touches a circle at only one point is called a
	semi-circle tangent major segment circumference centre

Question 5

5.	Find the missing angle in the following figure?
	43° 33° 58° 38° 28°

Question 6

6.	'E' and 'F' are centres of circles of radii 3 cm and 5 cm such that EF = 10 cm and 'G' is the centre of the circle of radius 'r' cm which touches the above circles externally. If ∠EGF = 90°, find 'r'
	1 cm 4 cm 5 cm 3 cm 2 cm

Question 7

7.	Which of the following statements are true?
	a) If a rhombus is cyclic, it is a square. b) If a parallelogram is cyclic, it is a rectangle. c) If a kite is cyclic, it is a square. d) A cyclic quadrilateral is a regular polygon. e) If a trapezium is cyclic, it is a rectangle.
	{d,b} {a,b} {c,a} {d,b,a} {e,c,a}

Question 8

8.	In the given figure, O is the centre of the circle and chord JK is equal to chord KL and KN is a diameter. If ∠JNK = 31°, find ∠NML
	121° 131° 136° 151° 126°

Question 9

9.	O is the centre of the circle and OE = DE. Find reflex ∠EOC
	240° 270° 250° 245° 255°

Question 10

10.	In the given figure, EF & GH are diameters of the circle. If ∠EHG = 35°, find ∠OGF
	50° 65° 45° 35° 40°

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