ICSE Board Practice

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ICSE Grade X - Tangent Properties of Circles

Question 1

1.	In the given figure, O is the centre of the circle and GH is the tangent at F. If ∠FED = 30°, find ∠HFD
	40° 35° 60° 30° 45°

Question 2

2.	In the given figure, O is the centre of the circle and JK is the tangent at I. If ∠HFI = 40° and ∠FHG = 50°, find ∠HFG
	45° 50° 70° 55° 40°

Question 3

3.	Two circles are of radii 3 cm and 2 cm. If the distance between their centres is 10 cm, what is the length of their transverse common tangent?
	10.66 cm 6.66 cm 9.66 cm 8.66 cm 7.66 cm

Question 4

4.	In the given figure, O is the centre of the circle and IJ is the tangent at F. If ∠GFH = 44° and ∠IFG = 42°, find ∠HFJ
	99° 109° 124° 94° 104°

Question 5

5.	If two circles touch externally , the number of their common tangents is
	1 3 2 5 4

Question 6

6.	In the given figure, O is the centre of the circle and EF is the tangent at D. If ∠CAD = 58° and ∠ACB = 64°, find ∠EDC
	63° 88° 58° 73° 68°

Question 7

7.	If two circles intersect , the number of their common tangents is
	3 4 (-1) 2 1

Question 8

8.	In the given figure, O is the centre of the circle and IJ is the tangent at H. If ∠GEH = 52° and ∠EGF = 53°, find ∠JHE
	43° 48° 53° 68° 38°

Question 9

9.	A line which touches a circle at only one point is called a
	quadrant secant major segment semi-circle tangent

Question 10

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

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