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)
circumference
(ii)
segment
(iii)
semi-circle
(iv)
centre
(v)
major segment
Question
2
2.
A line segment joining any point on the circle with its centre is called
(i)
circumference
(ii)
centre
(iii)
diameter
(iv)
semi-circle
(v)
radius
Question
3
3.
A line segment having its end points on the circle is called a
(i)
circumference
(ii)
semi-circle
(iii)
radius
(iv)
diameter
(v)
chord
Question
4
4.
A chord that passes through the centre of the circle is called
(i)
semi-circle
(ii)
major segment
(iii)
centre
(iv)
radius
(v)
diameter
Question
5
5.
A chord of a circle divides the whole circular region into two parts, each called a
(i)
chord
(ii)
segment
(iii)
radius
(iv)
diameter
(v)
circumference
Question
6
6.
The segment of the circle containing the centre of the circle is called
(i)
chord
(ii)
diameter
(iii)
circumference
(iv)
centre
(v)
major segment
Question
7
7.
Half of a circle is called
(i)
circumference
(ii)
segment
(iii)
semi-circle
(iv)
radius
(v)
chord
Question
8
8.
The perimeter of a circle is called
(i)
chord
(ii)
centre
(iii)
diameter
(iv)
semi-circle
(v)
circumference
Question
9
9.
Which of the following statements are true?
a)
A line can meet a circle atmost at two points.
b)
A circle consists of an infinite number of points.
c)
Each radius of a circle is also a chord of the circle.
d)
Every circle has a unique diameter.
e)
Every circle has a unique centre.
(i)
{d,b}
(ii)
{c,a}
(iii)
{c,a,b}
(iv)
{c,d,e}
(v)
{a,b,e}
Question
10
10.
Which of the following statements are true?
a)
Every circle has a unique diameter.
b)
An infinite number of chords may be drawn for a circle.
c)
One and only one tangent can be drawn to a circle from a point outside it.
d)
An infinite number of diameters may be drawn for a circle.
e)
Two semi-circles of a circle together make the whole circle.
(i)
{c,d}
(ii)
{a,b,d}
(iii)
{a,b}
(iv)
{b,d,e}
(v)
{a,c,e}
Question
11
11.
Which of the following statements are true?
a)
Diameter of a circle is a part of the semi-circle of the circle.
b)
A secant of a circle is a segment having its end points on the circle.
c)
One and only one tangent can be drawn to a circle from a point outside it.
d)
Every circle has a unique diameter.
e)
One and only one tangent can be drawn to pass through a point on a circle.
(i)
{b,a}
(ii)
{c,e,a}
(iii)
{d,b,a}
(iv)
{c,e}
(v)
{a,e}
Question
12
12.
If the diameter of a circle is 168 cm, what is its radius?
(i)
83 cm
(ii)
85 cm
(iii)
86 cm
(iv)
82 cm
(v)
84 cm
Question
13
13.
If the radius of a circle is 14 cm, what is its diameter?
(i)
29 cm
(ii)
28 cm
(iii)
27 cm
(iv)
30 cm
(v)
26 cm
Question
14
14.
If the radius of a circle is 56 cm, what is its circumference?
(i)
352 cm
(ii)
351 cm
(iii)
353 cm
(iv)
350 cm
(v)
354 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)
E
(ii)
F
(iii)
C
(iv)
I
(v)
D
Question
17
17.
The chords of the circle are
(i)
HC
,
HD
,
HE
,
HF
,
HG
(ii)
CD
,
DE
,
EF
,
FG
,
GC
(iii)
CD
,
DE
,
EF
,
FG
,
GC
,
HF
(iv)
DE
,
EF
,
FG
,
GC
(v)
CD
,
DE
,
EF
,
FG
,
GC
,
EG
Question
18
18.
The diameters of the circle are
(i)
BC
,
CD
,
DE
,
EF
,
FB
,
DF
(ii)
BC
,
CD
,
DE
,
EF
,
FB
(iii)
GB
,
GC
,
GD
,
GE
,
GF
(iv)
DF
(v)
GB
,
GC
,
GD
,
GE
,
GF
,
DF
Question
19
19.
The radii of the circle are
(i)
GH
,
HI
,
IJ
,
JK
,
KF
(ii)
LF
,
LG
,
LH
,
LI
,
LJ
,
LK
(iii)
FG
,
GH
,
HI
,
IJ
,
JK
,
KF
,
LI
(iv)
FG
,
GH
,
HI
,
IJ
,
JK
,
KF
(v)
FG
,
GH
,
HI
,
IJ
,
JK
,
KF
,
IK
Question
20
20.
The minor sector of the circle is
(i)
GBDCG
(ii)
BEC
(iii)
BDCFB
(iv)
GBECG
(v)
BDC
Question
21
21.
The major sector of the circle is
(i)
GBECG
(ii)
BDCFB
(iii)
GBDCG
(iv)
BECFB
(v)
BDC
Question
22
22.
The minor arc of the circle is
(i)
FIGJF
(ii)
FIG
(iii)
FHG
(iv)
FHGJF
(v)
KFIGK
Question
23
23.
The major arc of the circle is
(i)
KFIGK
(ii)
FHG
(iii)
FHGJF
(iv)
KFHGK
(v)
FIG
Question
24
24.
The minor segment of the circle is
(i)
KML
(ii)
PKMLP
(iii)
KNLOK
(iv)
KMLOK
(v)
PKNLP
Question
25
25.
The major segment of the circle is
(i)
HJILH
(ii)
HKILH
(iii)
HJI
(iv)
MHKIM
(v)
MHJIM
Question
26
26.
Find the points belonging to the circle
(i)
{G,J,M}
(ii)
{E,H,K}
(iii)
{F,I,L}
(iv)
{J,E,H}
(v)
{H,E,F}
Question
27
27.
Find the points belonging to the inside of the circle
(i)
{F,I}
(ii)
{H,I}
(iii)
{E,H}
(iv)
{J,F}
(v)
{G,J}
Question
28
28.
Find the points belonging to the outside of the circle
(i)
{N,Q}
(ii)
{L,O}
(iii)
{N,O}
(iv)
{M,P}
(v)
{N,P}
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)
outside the circle
(iii)
inside the circle
Question
32
32.
The distance around the circle is called
(i)
arc
(ii)
circumference
(iii)
chord
(iv)
diameter
(v)
radius
Question
33
33.
A line which intersects the circle at two distinct points is called a
(i)
secant
(ii)
segment
(iii)
semi-circle
(iv)
radius
(v)
quadrant
Question
34
34.
A line which touches a circle at only one point is called a
(i)
major segment
(ii)
segment
(iii)
quadrant
(iv)
tangent
(v)
diameter
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)
quadrant
(ii)
major segment
(iii)
secant
(iv)
centre
(v)
radius
Question
36
36.
Which of the following statements are true?
a)
The diameter is the longest chord.
b)
A chord divides a circle into two segments.
c)
The radius is the shortest chord.
d)
A chord divides a circle into two sectors.
e)
Atmost one chord can be drawn on a circle with a certain length.
(i)
{d,b,a}
(ii)
{e,c,a}
(iii)
{c,a}
(iv)
{d,b}
(v)
{a,b}
Question
37
37.
Which of the following statements are true?
a)
Equal length chords are equidistant from the centre of the circle.
b)
The longest chord of the circle passes through the centre of the circle.
c)
The farther the chord is from the centre, the larger the angle it subtends at the centre.
d)
No two chords bisects each other.
e)
Equal length chords subtend equal angles at the centre of the circle.
(i)
{a,b,e}
(ii)
{d,b}
(iii)
{c,a,b}
(iv)
{c,d,e}
(v)
{c,a}
Question
38
38.
Which of the following statements are true?
a)
A sector is the area enclosed by two radii and a chord.
b)
The area enclosed by a chord and its minor arc is called minor segment.
c)
The diameter divides the circle into two unequal parts.
d)
A circle divides the plane on which it lies into three parts.
e)
The area enclosed by a chord and its major arc is called major segment.
(i)
{a,c,e}
(ii)
{b,d,e}
(iii)
{c,d}
(iv)
{a,b}
(v)
{a,b,d}
Question
39
39.
Which of the following statements are true?
a)
The midpoint of any diameter of a circle is its centre.
b)
The longest of all chords of a circle is called diameter.
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)
{a,b}
(ii)
{d,b,a}
(iii)
{c,a}
(iv)
{e,c,a}
(v)
{d,b}
Question
40
40.
Which of the following statements are true?
a)
Exactly two tangents can be drawn parallel to a secant.
b)
Infinite circles can be drawn passing through three collinear points.
c)
Only one circle can be drawn passing through two 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)
{e,b,a}
(ii)
{c,d}
(iii)
{a,d}
(iv)
{b,a}
(v)
{c,d,a}
Question
41
41.
The point of intersection of the angular bisectors of a triangle is
(i)
excentre
(ii)
circumcentre
(iii)
incentre
(iv)
centroid
(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)
obtuse angled triangle
(ii)
equilateral triangle
(iii)
right angle triangle
(iv)
acute angled triangle
Question
43
43.
Circles having common centre are called
(i)
intersecting circles
(ii)
similar circles
(iii)
concentric circles
(iv)
congruent circles
Question
44
44.
If two circles are concentric, then
(i)
their centres are same
(ii)
their radii are same
(iii)
their perimeters are same
(iv)
their diameters are same
Question
45
45.
Which of the following figures represent a chord ?
(i)
fig V
(ii)
fig IV
(iii)
fig I
(iv)
fig II
(v)
fig III
Question
46
46.
Which of the following figures represent a diameter ?
(i)
fig II
(ii)
fig III
(iii)
fig IV
(iv)
fig I
(v)
fig V
Question
47
47.
Which of the following figures represent a secant ?
(i)
fig III
(ii)
fig II
(iii)
fig I
(iv)
fig V
(v)
fig IV
Question
48
48.
Which of the following figures represent a tangent ?
(i)
fig IV
(ii)
fig II
(iii)
fig V
(iv)
fig III
(v)
fig I
Question
49
49.
In triangle FGH, if a circle is drawn with GH as diameter and if it passes through F it is a
(i)
acute angled triangle
(ii)
equilateral triangle
(iii)
obtuse angled triangle
(iv)
right angle triangle
Question
50
50.
Which of the following statements are true?
a)
All diameters of a circle are chords.
b)
All chords of a circle are diameters.
c)
A circle divides the plane into three mutually disjoint sets of points.
d)
22
7
is a rational number.
e)
π
is a rational number.
(i)
{b,e,d}
(ii)
{e,c}
(iii)
{b,a,c}
(iv)
{b,a}
(v)
{a,c,d}
Question
51
51.
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
Assignment Key
1) (iv)
2) (v)
3) (v)
4) (v)
5) (ii)
6) (v)
7) (iii)
8) (v)
9) (v)
10) (iv)
11) (v)
12) (v)
13) (ii)
14) (i)
15) (iv)
16) (iv)
17) (ii)
18) (iv)
19) (ii)
20) (i)
21) (i)
22) (iii)
23) (v)
24) (iv)
25) (ii)
26) (ii)
27) (i)
28) (i)
29) (i)
30) (i)
31) (ii)
32) (ii)
33) (i)
34) (iv)
35) (i)
36) (v)
37) (i)
38) (ii)
39) (i)
40) (iii)
41) (iii)
42) (iii)
43) (iii)
44) (i)
45) (iii)
46) (ii)
47) (iv)
48) (iv)
49) (iv)
50) (v)
51) (i)
