EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate System and Graphs
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The y-coordinate of a point is also called as
(i)
origin
(ii)
x-axis
(iii)
ordinate
(iv)
y-axis
(v)
abscissa
Question
2
2.
A point lies on negative side of y-axis at a distance of 3 units from x-axis. What are the coordinates of the point?
(i)
(
0
,
3
)
(ii)
(
(
−
3
)
,
0
)
(iii)
(
3
,
0
)
(iv)
(
0
,
(
−
3
)
)
Question
3
3.
Determine the quadrant of the displayed point
(i)
second quadrant
(ii)
fourth quadrant
(iii)
third quadrant
(iv)
first quadrant
Question
4
4.
Which of the following equations satisfy the given points
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
0
)
,
(
(
−
4
)
,
1
)
,
(
(
−
4
)
,
2
)
?
(i)
(
5
x
+
4
y
−
2
)
=
0
(ii)
x
=
(
−
4
)
(iii)
y
=
(
−
1
)
(iv)
(
−
11
x
−
14
y
−
21
)
=
0
(v)
y
=
(
−
11
14
x
−
29
7
)
Question
5
5.
Which of the points (1,7), (-5,9), (-8,-2) and (2,-9) belong to the second quadrant?
(i)
(
1
,
7
)
(ii)
(
(
−
5
)
,
9
)
(iii)
(
2
,
(
−
9
)
)
(iv)
(
(
−
8
)
,
(
−
2
)
)
Question
6
6.
Which of the points (9,1), (-8,2), (-1,-7) and (5,-1) belong to the first quadrant?
(i)
(
(
−
8
)
,
2
)
(ii)
(
(
−
1
)
,
(
−
7
)
)
(iii)
(
5
,
(
−
1
)
)
(iv)
(
9
,
1
)
Question
7
7.
Solve
(
−
5
x
+
y
+
30
)
=
0
(
11
x
+
9
y
−
10
)
=
0
(i)
(
7
,
(
−
3
)
)
(ii)
(
5
,
(
−
5
)
)
(iii)
(
6
,
6
)
(iv)
(
3
,
(
−
7
)
)
(v)
(
9
,
3
)
Question
8
8.
The point
(
2
,
(
−
6
)
)
lies in
(i)
second quadrant
(ii)
first quadrant
(iii)
third quadrant
(iv)
fourth quadrant
Question
9
9.
Determine the quadrant of the displayed point
(i)
third quadrant
(ii)
fourth quadrant
(iii)
first quadrant
(iv)
second quadrant
Question
10
10.
In a coordinate geometry plane, the vertical reference line is called
(i)
ordinate
(ii)
abscissa
(iii)
x-axis
(iv)
y-axis
(v)
origin
Question
11
11.
Identify the point belonging to the fourth quadrant
(i)
(
(
−
1
)
,
(
−
8
)
)
(ii)
(
(
−
6
)
,
4
)
(iii)
(
2
,
7
)
(iv)
(
4
,
(
−
6
)
)
Question
12
12.
Which of the following equations satisfy the given points
(
(
−
2
)
,
22
9
)
,
(
(
−
1
)
,
14
9
)
,
(
0
,
2
3
)
,
(
1
,
(
−
2
9
)
)
,
(
2
,
(
−
10
9
)
)
?
(i)
x
=
(
4
15
y
+
92
15
)
(ii)
y
=
7
(iii)
(
8
x
+
9
y
−
6
)
=
0
(iv)
(
−
4
x
−
15
y
−
6
)
=
0
(v)
y
=
(
−
4
15
x
+
137
15
)
Question
13
13.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
?
(i)
y
=
(
−
5
)
(ii)
x
=
(
1
3
y
+
32
3
)
(iii)
x
=
9
(iv)
y
=
(
−
1
3
x
−
2
)
(v)
(
3
x
+
6
y
−
1
)
=
0
Question
14
14.
Identify the point belonging to the third quadrant
(i)
(
8
,
(
−
1
)
)
(ii)
(
(
−
2
)
,
1
)
(iii)
(
(
−
3
)
,
(
−
5
)
)
(iv)
(
4
,
6
)
Question
15
15.
Which of the displayed lines represent the equation
x
=
1
(i)
line with point
T
(ii)
line with point
R
(iii)
line with point
V
(iv)
line with point
U
(v)
line with point
S
Question
16
16.
The coordinates of a point which is 4 units away from x-axis and 6 units away from y-axis in the first quadrant is
(i)
(
(
−
6
)
,
(
−
4
)
)
(ii)
(
6
,
4
)
(iii)
(
6
,
(
−
4
)
)
(iv)
(
4
,
6
)
(v)
(
(
−
6
)
,
4
)
Question
17
17.
Which of the following is a point on the negative y-axis?
(i)
(
(
−
4
)
,
0
)
(ii)
(
2
,
0
)
(iii)
(
0
,
4
)
(iv)
(
0
,
(
−
5
)
)
(v)
(
(
−
2
)
,
8
)
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
3
5
)
,
(
(
−
1
)
,
(
−
7
15
)
)
,
(
0
,
(
−
23
15
)
)
,
(
1
,
(
−
13
5
)
)
,
(
2
,
(
−
11
3
)
)
?
(i)
y
=
(
−
7
)
(ii)
(
−
16
x
−
15
y
−
23
)
=
0
(iii)
(
8
x
+
5
y
−
1
)
=
0
(iv)
y
=
(
−
16
15
x
−
5
3
)
(v)
x
=
(
16
15
y
+
187
15
)
Question
19
19.
The coordinates of the origin are
(i)
(
1
,
0
)
(ii)
(
8
,
0
)
(iii)
(
0
,
6
)
(iv)
(
0
,
0
)
(v)
(
1
,
1
)
Question
20
20.
The x-coordinate of a point is also called as
(i)
abscissa
(ii)
origin
(iii)
y-axis
(iv)
x-axis
(v)
ordinate
Question
21
21.
Determine the coordinates of point Y in the diagram.
(i)
(
(
−
2
)
,
(
−
4
)
)
(ii)
(
(
−
2
)
,
4
)
(iii)
(
2
,
4
)
(iv)
(
4
,
(
−
2
)
)
(v)
(
2
,
(
−
4
)
)
Question
22
22.
Solve
(
−
x
+
4
y
−
22
)
=
0
(
−
9
x
−
18
)
=
0
(i)
(
0
,
7
)
(ii)
(
(
−
1
)
,
4
)
(iii)
(
(
−
2
)
,
5
)
(iv)
(
(
−
3
)
,
6
)
(v)
(
(
−
4
)
,
3
)
Question
23
23.
A point lies on negative side of x-axis at a distance of 9 units from y-axis. What are the coordinates of the point?
(i)
(
0
,
9
)
(ii)
(
9
,
0
)
(iii)
(
(
−
9
)
,
0
)
(iv)
(
0
,
(
−
9
)
)
Question
24
24.
Find the set of points satisfying the equation
y
=
(
−
5
)
(i)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
0
,
(
−
4
)
)
,
(
2
,
(
−
5
)
)
(ii)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
1
,
(
−
6
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
(iii)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
(
−
2
)
,
(
−
7
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
(iv)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
4
,
(
−
3
)
)
(v)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
Question
25
25.
The coordinates of a point which is 2 units away from x-axis and 8 units away from y-axis in the second quadrant is
(i)
(
8
,
2
)
(ii)
(
8
,
(
−
2
)
)
(iii)
(
(
−
8
)
,
(
−
2
)
)
(iv)
(
2
,
(
−
8
)
)
(v)
(
(
−
8
)
,
2
)
Assignment Key
1) (iii)
2) (iv)
3) (iii)
4) (ii)
5) (ii)
6) (iv)
7) (ii)
8) (iv)
9) (ii)
10) (iv)
11) (iv)
12) (iii)
13) (i)
14) (iii)
15) (ii)
16) (ii)
17) (iv)
18) (ii)
19) (iv)
20) (i)
21) (ii)
22) (iii)
23) (iii)
24) (v)
25) (v)
