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)
radius
(ii)
major segment
(iii)
diameter
(iv)
circumference
(v)
centre
Question
2
2.
A line segment joining any point on the circle with its centre is called
(i)
semi-circle
(ii)
centre
(iii)
radius
(iv)
major segment
(v)
segment
Question
3
3.
A line segment having its end points on the circle is called a
(i)
chord
(ii)
radius
(iii)
circumference
(iv)
major segment
(v)
semi-circle
Question
4
4.
A chord that passes through the centre of the circle is called
(i)
chord
(ii)
diameter
(iii)
major segment
(iv)
radius
(v)
semi-circle
Question
5
5.
A chord of a circle divides the whole circular region into two parts, each called a
(i)
major segment
(ii)
diameter
(iii)
radius
(iv)
segment
(v)
semi-circle
Question
6
6.
The segment of the circle containing the centre of the circle is called
(i)
chord
(ii)
major segment
(iii)
diameter
(iv)
radius
(v)
centre
Question
7
7.
Half of a circle is called
(i)
radius
(ii)
major segment
(iii)
centre
(iv)
diameter
(v)
semi-circle
Question
8
8.
The perimeter of a circle is called
(i)
semi-circle
(ii)
diameter
(iii)
circumference
(iv)
chord
(v)
centre
Question
9
9.
Which of the following statements are true?
a)
Each radius of a circle is also a chord of the circle.
b)
Every circle has a unique diameter.
c)
Every circle has a unique centre.
d)
A circle consists of an infinite number of points.
e)
A line can meet a circle atmost at two points.
(i)
{a,c}
(ii)
{b,d}
(iii)
{c,d,e}
(iv)
{a,b,e}
(v)
{a,c,d}
Question
10
10.
Which of the following statements are true?
a)
Two semi-circles of a circle together make the whole circle.
b)
An infinite number of chords may be drawn for a circle.
c)
Every circle has a unique diameter.
d)
One and only one tangent can be drawn to a circle from a point outside it.
e)
An infinite number of diameters may be drawn for a circle.
(i)
{c,a}
(ii)
{c,a,b}
(iii)
{c,d,e}
(iv)
{a,b,e}
(v)
{d,b}
Question
11
11.
Which of the following statements are true?
a)
One and only one tangent can be drawn to pass through a point on a circle.
b)
One and only one tangent can be drawn to a circle from a point outside it.
c)
Diameter of a circle is a part of the semi-circle of the circle.
d)
A secant of a circle is a segment having its end points on the circle.
e)
Every circle has a unique diameter.
(i)
{b,a}
(ii)
{a,c}
(iii)
{e,b,a}
(iv)
{d,c}
(v)
{d,c,a}
Question
12
12.
In the given triangle S is the circumcentre. If SF = 12.50 cm, find the circumference of the circumcircle
(i)
78.6 cm
(ii)
79.6 cm
(iii)
80.6 cm
(iv)
77.6 cm
(v)
76.6 cm
Question
13
13.
Identify the figure below
(i)
quadrilateral
(ii)
pentagon
(iii)
nonagon
(iv)
octagon
(v)
circle
Question
14
14.
The centre of the circle is
(i)
A
(ii)
D
(iii)
B
(iv)
G
(v)
C
Question
15
15.
The chords of the circle are
(i)
RL
,
RM
,
RN
,
RO
,
RP
,
RQ
(ii)
LM
,
MN
,
NO
,
OP
,
PQ
,
QL
(iii)
LM
,
MN
,
NO
,
OP
,
PQ
,
QL
,
RO
(iv)
LM
,
MN
,
NO
,
OP
,
PQ
,
QL
,
OQ
(v)
MN
,
NO
,
OP
,
PQ
,
QL
Question
16
16.
The diameters of the circle are
(i)
NI
,
NJ
,
NK
,
NL
,
NM
(ii)
IJ
,
JK
,
KL
,
LM
,
MI
,
KM
(iii)
KM
(iv)
NI
,
NJ
,
NK
,
NL
,
NM
,
KM
(v)
IJ
,
JK
,
KL
,
LM
,
MI
Question
17
17.
The radii of the circle are
(i)
AB
,
BC
,
CD
,
DE
,
EA
,
FB
(ii)
AB
,
BC
,
CD
,
DE
,
EA
,
CE
(iii)
BC
,
CD
,
DE
,
EA
(iv)
FA
,
FB
,
FC
,
FD
,
FE
(v)
AB
,
BC
,
CD
,
DE
,
EA
Question
18
18.
The minor sector of the circle is
(i)
HJI
(ii)
HKILH
(iii)
MHKIM
(iv)
HKI
(v)
MHJIM
Question
19
19.
The major sector of the circle is
(i)
NIKJN
(ii)
ILJ
(iii)
IKJ
(iv)
IKJMI
(v)
NILJN
Question
20
20.
The minor arc of the circle is
(i)
JEGFJ
(ii)
EGFIE
(iii)
EHFIE
(iv)
JEHFJ
(v)
EGF
Question
21
21.
The major arc of the circle is
(i)
LGIHL
(ii)
GIHKG
(iii)
LGJHL
(iv)
GJH
(v)
GJHKG
Question
22
22.
The minor segment of the circle is
(i)
FACBF
(ii)
FADBF
(iii)
ACB
(iv)
ACBEA
(v)
ADBEA
Question
23
23.
The major segment of the circle is
(i)
GIHKG
(ii)
GJHKG
(iii)
GIH
(iv)
LGJHL
(v)
GJH
Question
24
24.
The distance around the circle is called
(i)
diameter
(ii)
circumference
(iii)
radius
(iv)
chord
(v)
arc
Question
25
25.
A line which intersects the circle at two distinct points is called a
(i)
diameter
(ii)
semi-circle
(iii)
tangent
(iv)
major segment
(v)
secant
Question
26
26.
A line which touches a circle at only one point is called a
(i)
tangent
(ii)
semi-circle
(iii)
diameter
(iv)
chord
(v)
secant
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)
secant
(ii)
radius
(iii)
quadrant
(iv)
semi-circle
(v)
circumference
Question
28
28.
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)
The radius is the shortest chord.
d)
The diameter is the longest chord.
e)
A chord divides a circle into two segments.
(i)
{a,d}
(ii)
{b,e}
(iii)
{c,a,d}
(iv)
{d,e}
(v)
{b,e,d}
Question
29
29.
Which of the following statements are true?
a)
Equal length chords are equidistant from the centre of the circle.
b)
No two chords bisects each other.
c)
The longest chord of the circle passes through the centre of the circle.
d)
The farther the chord is from the centre, the larger the angle it subtends at the centre.
e)
Equal length chords subtend equal angles at the centre of the circle.
(i)
{b,d,e}
(ii)
{b,a,c}
(iii)
{b,a}
(iv)
{a,c,e}
(v)
{d,c}
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 circle divides the plane on which it lies into three parts.
d)
The area enclosed by a chord and its major arc is called major segment.
e)
A sector is the area enclosed by two radii and a chord.
(i)
{b,e,d}
(ii)
{b,a}
(iii)
{b,a,c}
(iv)
{a,c,d}
(v)
{e,c}
Question
31
31.
Which of the following statements are true?
a)
Two chords bisect each other.
b)
The longest of all chords of a circle is called diameter.
c)
A sector is the area enclosed by two radii and a chord.
d)
The diameter divides the circle into two unequal parts.
e)
The midpoint of any diameter of a circle is its centre.
(i)
{a,b}
(ii)
{c,e,b}
(iii)
{c,e}
(iv)
{b,e}
(v)
{d,a,b}
Question
32
32.
Which of the following statements are true?
a)
If a trapezium is cyclic, it is a rectangle.
b)
If a parallelogram is cyclic, it is a rectangle.
c)
A cyclic quadrilateral is a regular polygon.
d)
If a kite is cyclic, it is a square.
e)
If a rhombus is cyclic, it is a square.
(i)
{c,e,b}
(ii)
{a,b}
(iii)
{c,e}
(iv)
{d,a,b}
(v)
{b,e}
Question
33
33.
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)
Atmost one circle can be drawn passing through three non-collinear points.
d)
Only one circle can be drawn passing through two points.
e)
Only one circle can be drawn with a centre.
(i)
{b,a}
(ii)
{a,c}
(iii)
{d,c,a}
(iv)
{d,c}
(v)
{e,b,a}
Question
34
34.
Which of the following statements are true?
a)
A diameter is a limiting case of a chord.
b)
A tangent is the limiting case of a secant.
c)
A radius is a limiting case of a diameter.
d)
A secant and a chord are same.
e)
A secant has two end points.
(i)
{d,b}
(ii)
{a,b}
(iii)
{d,b,a}
(iv)
{c,a}
(v)
{e,c,a}
Question
35
35.
The point of intersection of the angular bisectors of a triangle is
(i)
centroid
(ii)
circumcentre
(iii)
incentre
(iv)
orthocentre
(v)
excentre
Question
36
36.
JK , LM , NO , PQ are chords of a circle with JK = 5 cm , LM = 2 cm , NO = 6.7 cm and PQ = 7.02 cm. The chord farthest from the centre of the circle is
(i)
NO = 6.7 cm
(ii)
LM = 2 cm
(iii)
PQ = 7.02 cm
(iv)
JK = 5 cm
Question
37
37.
Circles having common centre are called
(i)
congruent circles
(ii)
concentric circles
(iii)
intersecting circles
(iv)
similar circles
Question
38
38.
If two circles are concentric, then
(i)
their radii are same
(ii)
their centres are same
(iii)
their diameters are same
(iv)
their perimeters are same
Question
39
39.
Which of the following figures represent a chord ?
(i)
fig I
(ii)
fig II
(iii)
fig III
(iv)
fig IV
(v)
fig V
Question
40
40.
Which of the following figures represent a diameter ?
(i)
fig I
(ii)
fig IV
(iii)
fig V
(iv)
fig III
(v)
fig II
Question
41
41.
Which of the following figures represent a secant ?
(i)
fig V
(ii)
fig I
(iii)
fig IV
(iv)
fig III
(v)
fig II
Question
42
42.
Which of the following figures represent a tangent ?
(i)
fig IV
(ii)
fig I
(iii)
fig III
(iv)
fig II
(v)
fig V
Question
43
43.
Which of the following statements are true?
a)
All diameters of a circle are chords.
b)
A circle divides the plane into three mutually disjoint sets of points.
c)
All chords of a circle are diameters.
d)
22
7
is a rational number.
e)
π
is a rational number.
(i)
{c,a,b}
(ii)
{c,a}
(iii)
{a,b,d}
(iv)
{e,b}
(v)
{c,e,d}
Question
44
44.
Points which lie on the circumference of the circle are called
(i)
Similar points
(ii)
Concyclic points
(iii)
Cyclic points
(iv)
Concurrent points
(v)
Coincident points
Question
45
45.
The angle subtended by the semicircle at the centre is
(i)
195°
(ii)
180°
(iii)
210°
(iv)
190°
(v)
185°
Question
46
46.
The angle subtended by the diameter at any point on the circle is
(i)
100°
(ii)
90°
(iii)
95°
(iv)
105°
(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)
acute angled triangle
(iii)
right angle triangle
(iv)
equilateral triangle
Question
48
48.
Which of the following statements are true?
a)
The angle subtended in a semicircle is a right angle.
b)
Angle subtended by the major arc at the centre is acute.
c)
Angle subtended in the major segment is obtuse.
d)
If two chords are equal, then they are equidistant from the centre of the circle.
e)
Angle subtended by the major arc in its alternate segment is obtuse.
(i)
{b,a}
(ii)
{a,d,e}
(iii)
{c,d}
(iv)
{b,c,e}
(v)
{b,a,d}
Question
49
49.
In triangle EFG, if a circle is drawn with FG as diameter and if it passes through E it is a
(i)
equilateral triangle
(ii)
acute angled triangle
(iii)
right angle triangle
(iv)
obtuse angled triangle
Assignment Key
1) (v)
2) (iii)
3) (i)
4) (ii)
5) (iv)
6) (ii)
7) (v)
8) (iii)
9) (iii)
10) (iv)
11) (ii)
12) (i)
13) (v)
14) (iv)
15) (ii)
16) (iii)
17) (iv)
18) (v)
19) (v)
20) (v)
21) (iv)
22) (iv)
23) (ii)
24) (ii)
25) (v)
26) (i)
27) (iii)
28) (iv)
29) (iv)
30) (iv)
31) (iv)
32) (v)
33) (ii)
34) (ii)
35) (iii)
36) (ii)
37) (ii)
38) (ii)
39) (iv)
40) (iii)
41) (iv)
42) (iii)
43) (iii)
44) (ii)
45) (ii)
46) (ii)
47) (iii)
48) (ii)
49) (iii)
