EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate System and Graphs
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following equations satisfy the given points
(
(
−
2
)
,
3
)
,
(
(
−
1
)
,
3
)
,
(
0
,
3
)
,
(
1
,
3
)
,
(
2
,
3
)
?
(i)
(
5
x
+
6
y
−
3
)
=
0
(ii)
x
=
3
(iii)
x
=
(
5
3
y
−
2
)
(iv)
y
=
(
−
5
3
x
+
8
)
(v)
y
=
3
Question
2
2.
Which of the following is a point on the positive x-axis?
(i)
(
0
,
(
−
9
)
)
(ii)
(
9
,
0
)
(iii)
(
0
,
3
)
(iv)
(
(
−
3
)
,
0
)
(v)
(
(
−
7
)
,
5
)
Question
3
3.
Which of the following is a point on the negative x-axis?
(i)
(
(
−
5
)
,
6
)
(ii)
(
0
,
9
)
(iii)
(
(
−
5
)
,
0
)
(iv)
(
0
,
(
−
6
)
)
(v)
(
7
,
0
)
Question
4
4.
Identify the point belonging to the fourth quadrant
(i)
(
5
,
7
)
(ii)
(
(
−
9
)
,
(
−
1
)
)
(iii)
(
(
−
7
)
,
4
)
(iv)
(
6
,
(
−
3
)
)
Question
5
5.
Which of the following is a point on the negative y-axis?
(i)
(
0
,
(
−
2
)
)
(ii)
(
(
−
8
)
,
5
)
(iii)
(
(
−
6
)
,
0
)
(iv)
(
0
,
9
)
(v)
(
2
,
0
)
Question
6
6.
Which of the displayed lines represent the equation
y
=
(
3
5
x
−
6
5
)
(i)
line with point
U
(ii)
line with point
X
(iii)
line with point
W
(iv)
line with point
T
(v)
line with point
V
Question
7
7.
Distance of the point (8,7) from x-axis is
(i)
(
−
1
)
(ii)
1
(iii)
8
(iv)
15
(v)
7
Question
8
8.
If point P(x,y) lies in the third quadrant, then
(i)
x is negative and y is positive
(ii)
x is positive and y is positive
(iii)
x is negative and y is negative
(iv)
x is positive and y is negative
Question
9
9.
The point
(
(
−
3
)
,
4
)
lies in
(i)
second quadrant
(ii)
fourth quadrant
(iii)
first quadrant
(iv)
third quadrant
Question
10
10.
Which of the following is a point on the y-axis?
(i)
(
6
,
0
)
(ii)
(
(
−
7
)
,
3
)
(iii)
(
0
,
5
)
(iv)
(
7
,
(
−
8
)
)
(v)
(
4
,
4
)
Question
11
11.
The coordinates of a point which is 7 units away from x-axis and 1 unit away from y-axis in the fourth quadrant is
(i)
(
1
,
(
−
7
)
)
(ii)
(
(
−
1
)
,
7
)
(iii)
(
(
−
7
)
,
1
)
(iv)
(
1
,
7
)
(v)
(
(
−
1
)
,
(
−
7
)
)
Question
12
12.
Find the set of points satisfying the equation
(
21
x
+
18
y
−
14
)
=
0
(i)
(
(
−
2
)
,
28
9
)
,
(
(
−
1
)
,
35
18
)
,
(
0
,
7
9
)
,
(
1
,
(
−
7
18
)
)
,
(
4
,
4
9
)
(ii)
(
(
−
2
)
,
28
9
)
,
(
(
−
1
)
,
35
18
)
,
(
0
,
7
9
)
,
(
0
,
11
18
)
,
(
2
,
(
−
14
9
)
)
(iii)
(
(
−
2
)
,
28
9
)
,
(
(
−
1
)
,
35
18
)
,
(
0
,
7
9
)
,
(
1
,
(
−
7
18
)
)
,
(
2
,
(
−
14
9
)
)
(iv)
(
(
−
2
)
,
28
9
)
,
(
(
−
1
)
,
35
18
)
,
(
1
,
(
−
2
9
)
)
,
(
1
,
(
−
7
18
)
)
,
(
2
,
(
−
14
9
)
)
(v)
(
(
−
2
)
,
28
9
)
,
(
(
−
1
)
,
35
18
)
,
(
(
−
2
)
,
(
−
11
9
)
)
,
(
1
,
(
−
7
18
)
)
,
(
2
,
(
−
14
9
)
)
Question
13
13.
A point lies on positive side of x-axis at a distance of 5 units from y-axis. What are the coordinates of the point?
(i)
(
5
,
0
)
(ii)
(
0
,
5
)
(iii)
(
0
,
(
−
5
)
)
(iv)
(
(
−
5
)
,
0
)
Question
14
14.
Which of the displayed lines represent the equation
(
4
x
−
4
y
−
4
)
=
0
?
(i)
line with point
W
(ii)
line with point
T
(iii)
line with point
X
(iv)
line with point
V
(v)
line with point
U
Question
15
15.
Determine the coordinates of point Q in the diagram.
(i)
(
(
−
6
)
,
8
)
(ii)
(
(
−
6
)
,
(
−
8
)
)
(iii)
(
8
,
6
)
(iv)
(
6
,
(
−
8
)
)
(v)
(
6
,
8
)
Question
16
16.
Find the set of points satisfying the equation
y
=
(
−
13
7
x
−
55
7
)
(i)
(
(
−
2
)
,
(
−
29
7
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
(
−
2
)
,
(
−
69
7
)
)
,
(
1
,
(
−
68
7
)
)
,
(
2
,
(
−
81
7
)
)
(ii)
(
(
−
2
)
,
(
−
29
7
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
1
,
(
−
62
7
)
)
,
(
1
,
(
−
68
7
)
)
,
(
2
,
(
−
81
7
)
)
(iii)
(
(
−
2
)
,
(
−
29
7
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
(
−
55
7
)
)
,
(
1
,
(
−
68
7
)
)
,
(
2
,
(
−
81
7
)
)
(iv)
(
(
−
2
)
,
(
−
29
7
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
(
−
55
7
)
)
,
(
1
,
(
−
68
7
)
)
,
(
4
,
(
−
67
7
)
)
(v)
(
(
−
2
)
,
(
−
29
7
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
(
−
55
7
)
)
,
(
0
,
(
−
61
7
)
)
,
(
2
,
(
−
81
7
)
)
Question
17
17.
Which of the displayed lines represent the equation
y
=
(
−
2
x
)
(i)
line with point
S
(ii)
line with point
P
(iii)
line with point
O
(iv)
line with point
R
(v)
line with point
Q
Question
18
18.
Find the set of points satisfying the equation
x
=
4
(i)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
4
,
0
)
,
(
4
,
1
)
,
(
6
,
4
)
(ii)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
,
(
4
,
1
)
,
(
4
,
2
)
(iii)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
4
,
0
)
,
(
3
,
2
)
,
(
4
,
2
)
(iv)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
5
,
(
−
1
)
)
,
(
4
,
1
)
,
(
4
,
2
)
(v)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
4
,
0
)
,
(
4
,
1
)
,
(
4
,
2
)
Question
19
19.
The y-coordinate of a point is also called as
(i)
origin
(ii)
ordinate
(iii)
x-axis
(iv)
abscissa
(v)
y-axis
Question
20
20.
Determine the quadrant of the displayed point
(i)
third quadrant
(ii)
fourth quadrant
(iii)
first quadrant
(iv)
second quadrant
Question
21
21.
Which of the points (7,8), (-5,2), (-6,-9) and (3,-7) belong to the fourth quadrant?
(i)
(
3
,
(
−
7
)
)
(ii)
(
(
−
5
)
,
2
)
(iii)
(
(
−
6
)
,
(
−
9
)
)
(iv)
(
7
,
8
)
Question
22
22.
Identify the point belonging to the third quadrant
(i)
(
(
−
8
)
,
(
−
2
)
)
(ii)
(
8
,
9
)
(iii)
(
(
−
1
)
,
1
)
(iv)
(
1
,
(
−
6
)
)
Question
23
23.
The x-coordinate of a point is also called as
(i)
ordinate
(ii)
y-axis
(iii)
x-axis
(iv)
abscissa
(v)
origin
Question
24
24.
Determine the quadrant of the displayed point
(i)
fourth quadrant
(ii)
second quadrant
(iii)
third quadrant
(iv)
first quadrant
Question
25
25.
Identify the point belonging to the first quadrant
(i)
(
(
−
2
)
,
(
−
9
)
)
(ii)
(
(
−
9
)
,
8
)
(iii)
(
6
,
(
−
3
)
)
(iv)
(
4
,
4
)
Assignment Key
1) (v)
2) (ii)
3) (iii)
4) (iv)
5) (i)
6) (iv)
7) (v)
8) (iii)
9) (i)
10) (iii)
11) (i)
12) (iii)
13) (i)
14) (ii)
15) (v)
16) (iii)
17) (iii)
18) (v)
19) (ii)
20) (iv)
21) (i)
22) (i)
23) (iv)
24) (iv)
25) (iv)