ICSE Board Practice

Generated 10 Correct 0 (0%) Incorrect 0 (0%)

ICSE Grade X - Angle Properties of a Circle

Question 1

1.	Two circles with radii R and r touch internally. If the distance between their centres is d, then
	d > R - r d < R - r d < R + r d = R - r d = R + r

Question 2

2.	In the given figure, ∠OIH = 7° & ∠GFE = 68°, find ∠OHE
	54° 49° 79° 59° 64°

Question 3

3.	△HIJ is inscribed in a circle with centre O. If ∠HOI = 123° and ∠IOJ = 163°, find ∠IJH
	66.5° 61.5° 91.5° 76.5° 71.5°

Question 4

4.	In the given figure, two circles of radii CE = 14.5 cm & DE = 11.4 cm intersect at E & F. The distance between the centres CD = 20 cm, find the length of EF
	15.26 cm 18.26 cm 16.26 cm 14.26 cm 17.26 cm

Question 5

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

Question 6

6.	In the given figure, O is the centre of the circle and DF is a diameter. If ∠ECD = 65°, find ∠EDF
	35° 30° 55° 40° 25°

Question 7

7.	O is the centre of the circle. If ∠IJK = 124°, find ∠KOL
	78° 68° 83° 73° 98°

Question 8

8.	△KLM is inscribed in a circle with centre O. If ∠KOL = 101° and ∠LOM = 140°, find ∠KLM
	74.5° 89.5° 59.5° 64.5° 69.5°

Question 9

9.	The opposite angles in a cyclic quadrilateral are
	complementary equal linear pair supplementary

Question 10

10.	Angle subtended by the major arc at the centre is
	right angle obtuse angle reflex angle acute angle complete angle

• Verify Response
• More Questions