CBSE Board Practice

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CBSE Grade X - Circles

Question 1

1.	In the given figure, O is the centre of the circle and HJ is the tangent at I . If ∠GFI = 26°, find ∠GHI
	43° 53° 38° 48° 68°

Question 2

2.	Two circles are of radii 1 cm and 4 cm. If the distance between their centres is 10 cm, what is the length of their direct common tangent?
	9.54 cm 8.54 cm 7.54 cm 10.54 cm 11.54 cm

Question 3

3.	Which of the following statements are true?
	a) The farther the chord is from the centre, the larger the angle it subtends at the centre. b) Equal length chords subtend equal angles at the centre of the circle. c) No two chords bisects each other. d) The longest chord of the circle passes through the centre of the circle. e) Equal length chords are equidistant from the centre of the circle.
	{c,d} {a,b} {a,b,d} {b,d,e} {a,c,e}

Question 4

4.	Circles having common centre are called
	intersecting circles congruent circles similar circles concentric circles

Question 5

5.	In the given figure, O is the centre of the circle and KL is the tangent at J. If ∠IGJ = 62° and ∠GIH = 62°, find ∠KJI
	72° 77° 92° 67° 62°

Question 6

6.	The distance between the centres of two circles is d . If the radii are r 1 and r 2 , the length of their transverse common tangent is
	√ d 2 − ( r 1   +   r 2 ) 2 √ d 2 + ( r 1   +   r 2 ) 2 √ d 2 − ( r 1   −   r 2 ) 2 √ d 2 + ( r 1   −   r 2 ) 2 None of these

Question 7

7.	A chord of a circle divides the whole circular region into two parts, each called a
	centre segment chord circumference diameter

Question 8

8.	A line segment joining any point on the circle with its centre is called
	chord circumference semi-circle radius centre

Question 9

9.	In the given figure, O is the centre of the circle and CE is the tangent at D. If ∠BAD = 27°, find ∠BCD + ∠BDC
	63° 73° 93° 78° 68°

Question 10

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

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