EduSahara™ Assignment
Name : Circle Basics
Chapter : Chord Properties of a Circle
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The mid-point of the diameter of a circle is called
(i)
centre
(ii)
semi-circle
(iii)
diameter
(iv)
segment
(v)
radius
Question
2
2.
A line segment joining any point on the circle with its centre is called
(i)
circumference
(ii)
radius
(iii)
major segment
(iv)
segment
(v)
centre
Question
3
3.
A line segment having its end points on the circle is called a
(i)
chord
(ii)
centre
(iii)
major segment
(iv)
radius
(v)
diameter
Question
4
4.
A chord that passes through the centre of the circle is called
(i)
major segment
(ii)
chord
(iii)
diameter
(iv)
radius
(v)
centre
Question
5
5.
A chord of a circle divides the whole circular region into two parts, each called a
(i)
circumference
(ii)
major segment
(iii)
semi-circle
(iv)
centre
(v)
segment
Question
6
6.
The segment of the circle containing the centre of the circle is called
(i)
segment
(ii)
major segment
(iii)
radius
(iv)
centre
(v)
diameter
Question
7
7.
Half of a circle is called
(i)
chord
(ii)
centre
(iii)
radius
(iv)
semi-circle
(v)
segment
Question
8
8.
The perimeter of a circle is called
(i)
semi-circle
(ii)
circumference
(iii)
major segment
(iv)
centre
(v)
diameter
Question
9
9.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
Every circle has a unique centre.
c)
A line can meet a circle atmost at two points.
d)
Each radius of a circle is also a chord of the circle.
e)
A circle consists of an infinite number of points.
(i)
{a,d,e}
(ii)
{b,c,e}
(iii)
{a,b}
(iv)
{a,b,c}
(v)
{d,c}
Question
10
10.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
Two semi-circles of a circle together make the whole circle.
c)
An infinite number of chords may be drawn for a circle.
d)
An infinite number of diameters may be drawn for a circle.
e)
One and only one tangent can be drawn to a circle from a point outside it.
(i)
{a,e,d}
(ii)
{a,b,c}
(iii)
{e,c}
(iv)
{b,c,d}
(v)
{a,b}
Question
11
11.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
One and only one tangent can be drawn to a circle from a point outside it.
c)
A secant of a circle is a segment having its end points on the circle.
d)
One and only one tangent can be drawn to pass through a point on a circle.
e)
Diameter of a circle is a part of the semi-circle of the circle.
(i)
{c,a,d}
(ii)
{b,e,d}
(iii)
{d,e}
(iv)
{b,e}
(v)
{a,d}
Question
12
12.
In the given triangle S is the circumcentre. If SD = 12.40 cm, find the circumference of the circumcircle
(i)
79.9 cm
(ii)
76.9 cm
(iii)
78.9 cm
(iv)
75.9 cm
(v)
77.9 cm
Question
13
13.
Identify the figure below
(i)
angle
(ii)
decagon
(iii)
circle
(iv)
nonagon
(v)
octagon
Question
14
14.
The centre of the circle is
(i)
F
(ii)
D
(iii)
C
(iv)
E
(v)
H
Question
15
15.
The chords of the circle are
(i)
JD
,
JE
,
JF
,
JG
,
JH
,
JI
(ii)
DE
,
EF
,
FG
,
GH
,
HI
,
ID
,
JE
(iii)
DE
,
EF
,
FG
,
GH
,
HI
,
ID
(iv)
DE
,
EF
,
FG
,
GH
,
HI
,
ID
,
FH
(v)
EF
,
FG
,
GH
,
HI
,
ID
Question
16
16.
The diameters of the circle are
(i)
PK
,
PL
,
PM
,
PN
,
PO
,
MO
(ii)
PK
,
PL
,
PM
,
PN
,
PO
(iii)
KL
,
LM
,
MN
,
NO
,
OK
,
MO
(iv)
KL
,
LM
,
MN
,
NO
,
OK
(v)
MO
Question
17
17.
The radii of the circle are
(i)
BC
,
CD
,
DE
,
EB
(ii)
BC
,
CD
,
DE
,
EB
,
FE
(iii)
FB
,
FC
,
FD
,
FE
(iv)
BC
,
CD
,
DE
,
EB
,
CE
(v)
CD
,
DE
,
EB
Question
18
18.
The minor sector of the circle is
(i)
BDCFB
(ii)
GBECG
(iii)
BDC
(iv)
GBDCG
(v)
BEC
Question
19
19.
The major sector of the circle is
(i)
IKJ
(ii)
ILJMI
(iii)
IKJMI
(iv)
NIKJN
(v)
NILJN
Question
20
20.
The minor arc of the circle is
(i)
OJMKO
(ii)
JMK
(iii)
JMKNJ
(iv)
OJLKO
(v)
JLK
Question
21
21.
The major arc of the circle is
(i)
IKJMI
(ii)
NIKJN
(iii)
ILJ
(iv)
NILJN
(v)
IKJ
Question
22
22.
The minor segment of the circle is
(i)
ACBEA
(ii)
ACB
(iii)
ADBEA
(iv)
ADB
(v)
FADBF
Question
23
23.
The major segment of the circle is
(i)
HKI
(ii)
HJI
(iii)
MHJIM
(iv)
MHKIM
(v)
HKILH
Question
24
24.
The distance around the circle is called
(i)
circumference
(ii)
chord
(iii)
diameter
(iv)
radius
(v)
arc
Question
25
25.
A line which intersects the circle at two distinct points is called a
(i)
secant
(ii)
quadrant
(iii)
centre
(iv)
tangent
(v)
segment
Question
26
26.
A line which touches a circle at only one point is called a
(i)
tangent
(ii)
chord
(iii)
semi-circle
(iv)
circumference
(v)
quadrant
Question
27
27.
If the two radii OP and OQ of a circle are at right angles to each other, then the sector OPQ is called a
(i)
semi-circle
(ii)
secant
(iii)
circumference
(iv)
quadrant
(v)
chord
Question
28
28.
Which of the following statements are true?
a)
A chord divides a circle into two segments.
b)
Atmost one chord can be drawn on a circle with a certain length.
c)
The diameter is the longest chord.
d)
A chord divides a circle into two sectors.
e)
The radius is the shortest chord.
(i)
{e,b,a}
(ii)
{a,c}
(iii)
{b,a}
(iv)
{d,c,a}
(v)
{d,c}
Question
29
29.
Which of the following statements are true?
a)
Equal length chords are equidistant from the centre of the circle.
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)
The farther the chord is from the centre, the larger the angle it subtends at the centre.
(i)
{c,a,b}
(ii)
{e,b}
(iii)
{a,b,d}
(iv)
{c,e,d}
(v)
{c,a}
Question
30
30.
Which of the following statements are true?
a)
The area enclosed by a chord and its minor arc is called minor segment.
b)
The diameter divides the circle into two unequal parts.
c)
A sector is the area enclosed by two radii and a chord.
d)
The area enclosed by a chord and its major arc is called major segment.
e)
A circle divides the plane on which it lies into three parts.
(i)
{b,a}
(ii)
{a,d,e}
(iii)
{c,d}
(iv)
{b,a,d}
(v)
{b,c,e}
Question
31
31.
Which of the following statements are true?
a)
The longest of all chords of a circle is called diameter.
b)
The midpoint of any diameter of a circle is its centre.
c)
Two chords bisect each other.
d)
A sector is the area enclosed by two radii and a chord.
e)
The diameter divides the circle into two unequal parts.
(i)
{d,b,a}
(ii)
{a,b}
(iii)
{e,c,a}
(iv)
{c,a}
(v)
{d,b}
Question
32
32.
Which of the following statements are true?
a)
If a kite is cyclic, it is a square.
b)
A cyclic quadrilateral is a regular polygon.
c)
If a trapezium is cyclic, it is a rectangle.
d)
If a parallelogram is cyclic, it is a rectangle.
e)
If a rhombus is cyclic, it is a square.
(i)
{b,e}
(ii)
{d,e}
(iii)
{b,e,d}
(iv)
{c,a,d}
(v)
{a,d}
Question
33
33.
Which of the following statements are true?
a)
Only one circle can be drawn with a centre.
b)
Exactly two tangents can be drawn parallel to a secant.
c)
Only one circle can be drawn passing through two points.
d)
Infinite circles can be drawn passing through three collinear points.
e)
Atmost one circle can be drawn passing through three non-collinear points.
(i)
{c,e}
(ii)
{c,e,b}
(iii)
{d,a,b}
(iv)
{b,e}
(v)
{a,b}
Question
34
34.
Which of the following statements are true?
a)
A secant and a chord are same.
b)
A secant has two end points.
c)
A tangent is the limiting case of a secant.
d)
A radius is a limiting case of a diameter.
e)
A diameter is a limiting case of a chord.
(i)
{b,e,c}
(ii)
{c,e}
(iii)
{d,a,c}
(iv)
{a,c}
(v)
{b,e}
Question
35
35.
The point of intersection of the angular bisectors of a triangle is
(i)
incentre
(ii)
excentre
(iii)
centroid
(iv)
orthocentre
(v)
circumcentre
Question
36
36.
CD , EF , GH , IJ are chords of a circle with CD = 7 cm , EF = 2 cm , GH = 7.3 cm and IJ = 6.09 cm. The chord farthest from the centre of the circle is
(i)
CD = 7 cm
(ii)
EF = 2 cm
(iii)
IJ = 6.09 cm
(iv)
GH = 7.3 cm
Question
37
37.
Circles having common centre are called
(i)
congruent circles
(ii)
similar circles
(iii)
intersecting circles
(iv)
concentric circles
Question
38
38.
If two circles are concentric, then
(i)
their diameters are same
(ii)
their radii are same
(iii)
their perimeters are same
(iv)
their centres are same
Question
39
39.
Which of the following figures represent a chord ?
(i)
fig I
(ii)
fig V
(iii)
fig II
(iv)
fig IV
(v)
fig III
Question
40
40.
Which of the following figures represent a diameter ?
(i)
fig V
(ii)
fig IV
(iii)
fig I
(iv)
fig II
(v)
fig III
Question
41
41.
Which of the following figures represent a secant ?
(i)
fig IV
(ii)
fig III
(iii)
fig II
(iv)
fig V
(v)
fig I
Question
42
42.
Which of the following figures represent a tangent ?
(i)
fig III
(ii)
fig II
(iii)
fig I
(iv)
fig IV
(v)
fig V
Question
43
43.
Which of the following statements are true?
a)
All chords of a circle are diameters.
b)
π
is a rational number.
c)
All diameters of a circle are chords.
d)
A circle divides the plane into three mutually disjoint sets of points.
e)
22
7
is a rational number.
(i)
{a,b,e}
(ii)
{c,d,e}
(iii)
{b,d}
(iv)
{a,c}
(v)
{a,c,d}
Question
44
44.
Points which lie on the circumference of the circle are called
(i)
Concyclic points
(ii)
Concurrent points
(iii)
Cyclic points
(iv)
Coincident points
(v)
Similar points
Question
45
45.
The angle subtended by the semicircle at the centre is
(i)
210°
(ii)
190°
(iii)
180°
(iv)
195°
(v)
185°
Question
46
46.
The angle subtended by the diameter at any point on the circle is
(i)
90°
(ii)
100°
(iii)
105°
(iv)
95°
(v)
120°
Question
47
47.
If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is
(i)
obtuse angled triangle
(ii)
equilateral triangle
(iii)
right angle triangle
(iv)
acute angled triangle
Question
48
48.
Which of the following statements are true?
a)
Angle subtended in the major segment is obtuse.
b)
The angle subtended in a semicircle is a right angle.
c)
If two chords are equal, then they are equidistant from the centre of the circle.
d)
Angle subtended by the major arc in its alternate segment is obtuse.
e)
Angle subtended by the major arc at the centre is acute.
(i)
{a,e,d}
(ii)
{a,b,c}
(iii)
{e,c}
(iv)
{a,b}
(v)
{b,c,d}
Question
49
49.
In triangle GHI, if a circle is drawn with HI as diameter and if it passes through G it is a
(i)
equilateral triangle
(ii)
right angle triangle
(iii)
obtuse angled triangle
(iv)
acute angled triangle
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (iii)
5) (v)
6) (ii)
7) (iv)
8) (ii)
9) (ii)
10) (iv)
11) (iii)
12) (v)
13) (iii)
14) (v)
15) (iii)
16) (v)
17) (iii)
18) (iv)
19) (v)
20) (v)
21) (iii)
22) (i)
23) (v)
24) (i)
25) (i)
26) (i)
27) (iv)
28) (ii)
29) (iii)
30) (ii)
31) (ii)
32) (ii)
33) (iv)
34) (ii)
35) (i)
36) (ii)
37) (iv)
38) (iv)
39) (v)
40) (ii)
41) (iv)
42) (iv)
43) (ii)
44) (i)
45) (iii)
46) (i)
47) (iii)
48) (v)
49) (ii)
