EduSahara™ Assignment
Name : Circle Basics
Chapter : Circles
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The mid-point of the diameter of a circle is called
(i)
chord
(ii)
circumference
(iii)
diameter
(iv)
centre
(v)
major segment
Question
2
2.
A line segment joining any point on the circle with its centre is called
(i)
semi-circle
(ii)
diameter
(iii)
chord
(iv)
segment
(v)
radius
Question
3
3.
A line segment having its end points on the circle is called a
(i)
major segment
(ii)
chord
(iii)
diameter
(iv)
circumference
(v)
radius
Question
4
4.
A chord that passes through the centre of the circle is called
(i)
segment
(ii)
diameter
(iii)
radius
(iv)
semi-circle
(v)
circumference
Question
5
5.
A chord of a circle divides the whole circular region into two parts, each called a
(i)
segment
(ii)
chord
(iii)
diameter
(iv)
major segment
(v)
centre
Question
6
6.
The segment of the circle containing the centre of the circle is called
(i)
radius
(ii)
centre
(iii)
major segment
(iv)
chord
(v)
circumference
Question
7
7.
Half of a circle is called
(i)
diameter
(ii)
semi-circle
(iii)
major segment
(iv)
centre
(v)
segment
Question
8
8.
The perimeter of a circle is called
(i)
semi-circle
(ii)
segment
(iii)
diameter
(iv)
centre
(v)
circumference
Question
9
9.
Which of the following statements are true?
a)
A circle consists of an infinite number of points.
b)
Each radius of a circle is also a chord of the circle.
c)
Every circle has a unique diameter.
d)
A line can meet a circle atmost at two points.
e)
Every circle has a unique centre.
(i)
{a,d,e}
(ii)
{b,a,d}
(iii)
{b,c,e}
(iv)
{c,d}
(v)
{b,a}
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 diameters may be drawn for a circle.
d)
An infinite number of chords 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,b}
(ii)
{b,c,d}
(iii)
{e,c}
(iv)
{a,b,c}
(v)
{a,e,d}
Question
11
11.
Which of the following statements are true?
a)
A secant of a circle is a segment having its end points on the circle.
b)
One and only one tangent can be drawn to pass through a point on a circle.
c)
Diameter of a circle is a part of the semi-circle of the circle.
d)
One and only one tangent can be drawn to a circle from a point outside it.
e)
Every circle has a unique diameter.
(i)
{e,a,b}
(ii)
{b,c}
(iii)
{d,c}
(iv)
{d,c,b}
(v)
{a,b}
Question
12
12.
If the diameter of a circle is 154 cm, what is its radius?
(i)
77 cm
(ii)
79 cm
(iii)
76 cm
(iv)
75 cm
(v)
78 cm
Question
13
13.
If the radius of a circle is 14 cm, what is its diameter?
(i)
28 cm
(ii)
26 cm
(iii)
29 cm
(iv)
30 cm
(v)
27 cm
Question
14
14.
If the radius of a circle is 70 cm, what is its circumference?
(i)
441 cm
(ii)
440 cm
(iii)
439 cm
(iv)
442 cm
(v)
438 cm
Question
15
15.
Two circles with equal radii are
(i)
not similar
(ii)
concentric
(iii)
only similar but not congruent
(iv)
congruent
Question
16
16.
The centre of the circle is
(i)
J
(ii)
K
(iii)
L
(iv)
P
(v)
M
Question
17
17.
The chords of the circle are
(i)
GB
,
GC
,
GD
,
GE
,
GF
(ii)
BC
,
CD
,
DE
,
EF
,
FB
(iii)
BC
,
CD
,
DE
,
EF
,
FB
,
GF
(iv)
CD
,
DE
,
EF
,
FB
(v)
BC
,
CD
,
DE
,
EF
,
FB
,
DF
Question
18
18.
The diameters of the circle are
(i)
KE
,
KF
,
KG
,
KH
,
KI
,
KJ
,
HJ
(ii)
HJ
(iii)
EF
,
FG
,
GH
,
HI
,
IJ
,
JE
,
HJ
(iv)
KE
,
KF
,
KG
,
KH
,
KI
,
KJ
(v)
EF
,
FG
,
GH
,
HI
,
IJ
,
JE
Question
19
19.
The radii of the circle are
(i)
JK
,
KL
,
LM
,
MI
(ii)
NI
,
NJ
,
NK
,
NL
,
NM
(iii)
IJ
,
JK
,
KL
,
LM
,
MI
,
KM
(iv)
IJ
,
JK
,
KL
,
LM
,
MI
,
NL
(v)
IJ
,
JK
,
KL
,
LM
,
MI
Question
20
20.
The minor sector of the circle is
(i)
KNL
(ii)
KML
(iii)
KNLOK
(iv)
PKMLP
(v)
KMLOK
Question
21
21.
The major sector of the circle is
(i)
PKMLP
(ii)
KNLOK
(iii)
PKNLP
(iv)
KML
(v)
KNL
Question
22
22.
The minor arc of the circle is
(i)
CFDGC
(ii)
CED
(iii)
HCEDH
(iv)
CFD
(v)
CEDGC
Question
23
23.
The major arc of the circle is
(i)
DGEHD
(ii)
DFEHD
(iii)
DGE
(iv)
DFE
(v)
IDFEI
Question
24
24.
The minor segment of the circle is
(i)
FHGJF
(ii)
KFIGK
(iii)
KFHGK
(iv)
FIG
(v)
FHG
Question
25
25.
The major segment of the circle is
(i)
HJI
(ii)
HKI
(iii)
MHKIM
(iv)
HJILH
(v)
HKILH
Question
26
26.
Find the points belonging to the circle
(i)
{O,K,L}
(ii)
{I,P,O}
(iii)
{J,M,P}
(iv)
{I,L,O}
(v)
{K,N,Q}
Question
27
27.
Find the points belonging to the inside of the circle
(i)
{K,N}
(ii)
{M,L}
(iii)
{L,N}
(iv)
{M,P}
(v)
{L,O}
Question
28
28.
Find the points belonging to the outside of the circle
(i)
{L,N}
(ii)
{O,M}
(iii)
{K,N}
(iv)
{L,O}
(v)
{J,M}
Question
29
29.
'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
If
OP
= r ,then P is
(i)
on the circle
(ii)
outside the circle
(iii)
inside the circle
Question
30
30.
'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
If
OP
< r,then P is
(i)
inside the circle
(ii)
on the circle
(iii)
outside the circle
Question
31
31.
'O' is the centre of a circle of radius 'r' and 'P' is any point in its plane.
If
OP
> r,then P is
(i)
on the circle
(ii)
inside the circle
(iii)
outside the circle
Question
32
32.
The distance around the circle is called
(i)
circumference
(ii)
chord
(iii)
arc
(iv)
diameter
(v)
radius
Question
33
33.
A line which intersects the circle at two distinct points is called a
(i)
secant
(ii)
major segment
(iii)
diameter
(iv)
segment
(v)
chord
Question
34
34.
A line which touches a circle at only one point is called a
(i)
segment
(ii)
tangent
(iii)
quadrant
(iv)
major segment
(v)
chord
Question
35
35.
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)
circumference
(ii)
radius
(iii)
secant
(iv)
quadrant
(v)
chord
Question
36
36.
Which of the following statements are true?
a)
A chord divides a circle into two sectors.
b)
Atmost one chord can be drawn on a circle with a certain length.
c)
A chord divides a circle into two segments.
d)
The diameter is the longest chord.
e)
The radius is the shortest chord.
(i)
{b,d,c}
(ii)
{e,a,c}
(iii)
{c,d}
(iv)
{b,d}
(v)
{a,c}
Question
37
37.
Which of the following statements are true?
a)
Equal length chords subtend equal angles at the centre of the circle.
b)
Equal length chords are equidistant from the centre of the circle.
c)
The longest chord of the circle passes through the centre of the circle.
d)
No two chords bisects each other.
e)
The farther the chord is from the centre, the larger the angle it subtends at the centre.
(i)
{d,e,c}
(ii)
{d,a}
(iii)
{d,a,b}
(iv)
{e,b}
(v)
{a,b,c}
Question
38
38.
Which of the following statements are true?
a)
The diameter divides the circle into two unequal parts.
b)
The area enclosed by a chord and its major arc is called major segment.
c)
The area enclosed by a chord and its minor arc is called minor segment.
d)
A circle divides the plane on which it lies into three parts.
e)
A sector is the area enclosed by two radii and a chord.
(i)
{a,b}
(ii)
{a,b,c}
(iii)
{b,c,d}
(iv)
{a,e,d}
(v)
{e,c}
Question
39
39.
Which of the following statements are true?
a)
A sector is the area enclosed by two radii and a chord.
b)
The midpoint of any diameter of a circle is its centre.
c)
The longest of all chords of a circle is called diameter.
d)
The diameter divides the circle into two unequal parts.
e)
Two chords bisect each other.
(i)
{a,b}
(ii)
{d,c,b}
(iii)
{e,a,b}
(iv)
{d,c}
(v)
{b,c}
Question
40
40.
Which of the following statements are true?
a)
Only one circle can be drawn passing through two points.
b)
Exactly two tangents can be drawn parallel to a secant.
c)
Infinite circles can be drawn passing through three collinear points.
d)
Atmost one circle can be drawn passing through three non-collinear points.
e)
Only one circle can be drawn with a centre.
(i)
{c,d}
(ii)
{b,d}
(iii)
{e,a,b}
(iv)
{c,d,b}
(v)
{a,b}
Question
41
41.
The point of intersection of the angular bisectors of a triangle is
(i)
circumcentre
(ii)
excentre
(iii)
centroid
(iv)
incentre
(v)
orthocentre
Question
42
42.
If the radius of the circumcircle is half the length of a side of the triangle, then the triangle is
(i)
right angle triangle
(ii)
obtuse angled triangle
(iii)
equilateral triangle
(iv)
acute angled triangle
Question
43
43.
Circles having common centre are called
(i)
congruent circles
(ii)
intersecting circles
(iii)
similar circles
(iv)
concentric circles
Question
44
44.
If two circles are concentric, then
(i)
their centres are same
(ii)
their diameters are same
(iii)
their radii are same
(iv)
their perimeters are same
Question
45
45.
Which of the following figures represent a chord ?
(i)
fig III
(ii)
fig II
(iii)
fig V
(iv)
fig IV
(v)
fig I
Question
46
46.
Which of the following figures represent a diameter ?
(i)
fig V
(ii)
fig II
(iii)
fig I
(iv)
fig IV
(v)
fig III
Question
47
47.
Which of the following figures represent a secant ?
(i)
fig II
(ii)
fig V
(iii)
fig I
(iv)
fig III
(v)
fig IV
Question
48
48.
Which of the following figures represent a tangent ?
(i)
fig IV
(ii)
fig II
(iii)
fig I
(iv)
fig III
(v)
fig V
Question
49
49.
In triangle DEF, if a circle is drawn with EF as diameter and if it passes through D it is a
(i)
obtuse angled triangle
(ii)
acute angled triangle
(iii)
equilateral triangle
(iv)
right angle triangle
Question
50
50.
Which of the following statements are true?
a)
All diameters of a circle are chords.
b)
22
7
is a rational number.
c)
A circle divides the plane into three mutually disjoint sets of points.
d)
All chords of a circle are diameters.
e)
π
is a rational number.
(i)
{d,a}
(ii)
{d,a,b}
(iii)
{d,e,c}
(iv)
{e,b}
(v)
{a,b,c}
Question
51
51.
Points which lie on the circumference of the circle are called
(i)
Coincident points
(ii)
Concurrent points
(iii)
Similar points
(iv)
Cyclic points
(v)
Concyclic points
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (ii)
5) (i)
6) (iii)
7) (ii)
8) (v)
9) (i)
10) (ii)
11) (ii)
12) (i)
13) (i)
14) (ii)
15) (iv)
16) (iv)
17) (ii)
18) (ii)
19) (ii)
20) (iv)
21) (iii)
22) (ii)
23) (iii)
24) (i)
25) (v)
26) (iv)
27) (v)
28) (iv)
29) (i)
30) (i)
31) (iii)
32) (i)
33) (i)
34) (ii)
35) (iv)
36) (iii)
37) (v)
38) (iii)
39) (v)
40) (ii)
41) (iv)
42) (i)
43) (iv)
44) (i)
45) (ii)
46) (iv)
47) (iii)
48) (v)
49) (iv)
50) (v)
51) (v)
