EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate System and Graphs
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve
(
−
5
x
+
y
+
29
)
=
0
(
−
5
x
+
y
−
30
)
=
0
(i)
No solution
(ii)
Infinite solutions
(iii)
(
(
−
5
)
,
5
)
(iv)
(
7
,
6
)
(v)
(
5
,
4
)
Question
2
2.
Solve
(
2
x
+
3
y
−
9
)
=
0
(
−
9
x
−
4
y
−
26
)
=
0
(i)
(
(
−
4
)
,
9
)
(ii)
(
(
−
6
)
,
7
)
(iii)
(
(
−
8
)
,
5
)
(iv)
(
2
,
8
)
(v)
(
6
,
8
)
Question
3
3.
In a coordinate geometry plane, the horizontal reference line is called
(i)
x-axis
(ii)
abscissa
(iii)
origin
(iv)
ordinate
(v)
y-axis
Question
4
4.
The x-coordinate of a point is also called as
(i)
y-axis
(ii)
origin
(iii)
x-axis
(iv)
ordinate
(v)
abscissa
Question
5
5.
Which of the following is a point on the positive y-axis?
(i)
(
(
−
5
)
,
6
)
(ii)
(
3
,
0
)
(iii)
(
0
,
7
)
(iv)
(
0
,
(
−
8
)
)
(v)
(
(
−
2
)
,
0
)
Question
6
6.
Which of the following is a point on the negative y-axis?
(i)
(
0
,
(
−
2
)
)
(ii)
(
8
,
0
)
(iii)
(
(
−
4
)
,
9
)
(iv)
(
0
,
6
)
(v)
(
(
−
5
)
,
0
)
Question
7
7.
The point
(
1
,
(
−
8
)
)
lies in
(i)
fourth quadrant
(ii)
third quadrant
(iii)
first quadrant
(iv)
second quadrant
Question
8
8.
Solve
(
x
−
6
)
=
0
(
x
+
3
)
=
0
(i)
Infinite solutions
(ii)
(
6
,
1
)
(iii)
No solution
(iv)
(
4
,
4
)
(v)
(
6
,
6
)
Question
9
9.
Find the set of points satisfying the equation
x
=
(
−
7
)
(i)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
(ii)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
8
)
,
2
)
,
(
(
−
7
)
,
2
)
(iii)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
(iv)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
6
)
,
(
−
1
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
(v)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
7
)
,
1
)
,
(
(
−
5
)
,
4
)
Question
10
10.
A point lies on positive 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
11
11.
Solve
(
−
12
x
−
y
+
78
)
=
0
(
−
24
x
−
2
y
+
156
)
=
0
(i)
(
7
,
(
−
6
)
)
(ii)
Infinite solutions
(iii)
No solution
(iv)
(
6
,
6
)
(v)
(
6
,
(
−
7
)
)
Question
12
12.
Identify the point belonging to the second quadrant
(i)
(
(
−
4
)
,
(
−
7
)
)
(ii)
(
6
,
9
)
(iii)
(
(
−
6
)
,
2
)
(iv)
(
4
,
(
−
7
)
)
Question
13
13.
Which of the points (1,3), (-7,9), (-9,-4) and (4,-5) belong to the third quadrant?
(i)
(
(
−
9
)
,
(
−
4
)
)
(ii)
(
4
,
(
−
5
)
)
(iii)
(
(
−
7
)
,
9
)
(iv)
(
1
,
3
)
Question
14
14.
Which of the points (4,8), (-3,7), (-2,-4) and (9,-2) belong to the second quadrant?
(i)
(
4
,
8
)
(ii)
(
(
−
2
)
,
(
−
4
)
)
(iii)
(
9
,
(
−
2
)
)
(iv)
(
(
−
3
)
,
7
)
Question
15
15.
The coordinates of a point which is 4 units away from x-axis and 1 unit away from y-axis in the fourth quadrant is
(i)
(
(
−
4
)
,
1
)
(ii)
(
(
−
1
)
,
4
)
(iii)
(
1
,
4
)
(iv)
(
1
,
(
−
4
)
)
(v)
(
(
−
1
)
,
(
−
4
)
)
Question
16
16.
Solve
(
−
4
x
+
8
y
+
20
)
=
0
(
7
x
−
10
y
−
15
)
=
0
(i)
(
(
−
3
)
,
(
−
3
)
)
(ii)
(
(
−
4
)
,
(
−
6
)
)
(iii)
(
(
−
7
)
,
(
−
7
)
)
(iv)
(
(
−
5
)
,
(
−
5
)
)
(v)
(
(
−
6
)
,
(
−
4
)
)
Question
17
17.
Distance of the given point from x-axis is
(i)
0
(ii)
1
(iii)
-1
Question
18
18.
A point lies on positive side of y-axis at a distance of 2 units from x-axis. What are the coordinates of the point?
(i)
(
0
,
2
)
(ii)
(
2
,
0
)
(iii)
(
(
−
2
)
,
0
)
(iv)
(
0
,
(
−
2
)
)
Question
19
19.
Solve
(
y
−
4
)
=
0
(
y
−
6
)
=
0
(i)
No solution
(ii)
(
5
,
0
)
(iii)
(
5
,
(
−
4
)
)
(iv)
Infinite solutions
(v)
(
3
,
(
−
6
)
)
Question
20
20.
In a coordinate geometry plane, the vertical reference line is called
(i)
ordinate
(ii)
abscissa
(iii)
origin
(iv)
x-axis
(v)
y-axis
Question
21
21.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
(
−
6
)
)
,
(
1
,
(
−
6
)
)
,
(
2
,
(
−
6
)
)
?
(i)
x
=
(
6
5
y
+
71
5
)
(ii)
(
−
12
x
−
10
y
−
12
)
=
0
(iii)
y
=
(
−
6
)
(iv)
y
=
(
−
6
5
x
+
12
5
)
(v)
(
7
x
+
15
y
−
5
)
=
0
Question
22
22.
Find the set of points satisfying the equation
y
=
(
−
9
)
(i)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
9
)
)
,
(
1
,
(
−
9
)
)
,
(
4
,
(
−
7
)
)
(ii)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
1
,
(
−
10
)
)
,
(
1
,
(
−
9
)
)
,
(
2
,
(
−
9
)
)
(iii)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
9
)
)
,
(
1
,
(
−
9
)
)
,
(
2
,
(
−
9
)
)
(iv)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
9
)
)
,
(
0
,
(
−
8
)
)
,
(
2
,
(
−
9
)
)
(v)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
(
−
2
)
,
(
−
11
)
)
,
(
1
,
(
−
9
)
)
,
(
2
,
(
−
9
)
)
Question
23
23.
Which of the displayed lines represent the equation
y
=
(
−
3
x
)
(i)
line with point
U
(ii)
line with point
S
(iii)
line with point
W
(iv)
line with point
T
(v)
line with point
V
Question
24
24.
Find the set of points satisfying the equation
y
=
8
7
x
(i)
(
(
−
2
)
,
(
−
16
7
)
)
,
(
(
−
1
)
,
(
−
8
7
)
)
,
(
0
,
0
)
,
(
1
,
8
7
)
,
(
4
,
30
7
)
(ii)
(
(
−
2
)
,
(
−
16
7
)
)
,
(
(
−
1
)
,
(
−
8
7
)
)
,
(
0
,
0
)
,
(
1
,
8
7
)
,
(
2
,
16
7
)
(iii)
(
(
−
2
)
,
(
−
16
7
)
)
,
(
(
−
1
)
,
(
−
8
7
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
8
7
)
,
(
2
,
16
7
)
(iv)
(
(
−
2
)
,
(
−
16
7
)
)
,
(
(
−
1
)
,
(
−
8
7
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
8
7
)
,
(
2
,
16
7
)
(v)
(
(
−
2
)
,
(
−
16
7
)
)
,
(
(
−
1
)
,
(
−
8
7
)
)
,
(
0
,
0
)
,
(
0
,
15
7
)
,
(
2
,
16
7
)
Question
25
25.
A point lies on negative side of x-axis at a distance of 4 units from y-axis. What are the coordinates of the point?
(i)
(
4
,
0
)
(ii)
(
(
−
4
)
,
0
)
(iii)
(
0
,
(
−
4
)
)
(iv)
(
0
,
4
)
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (v)
5) (iii)
6) (i)
7) (i)
8) (iii)
9) (i)
10) (ii)
11) (ii)
12) (iii)
13) (i)
14) (iv)
15) (iv)
16) (iv)
17) (i)
18) (i)
19) (i)
20) (v)
21) (iii)
22) (iii)
23) (ii)
24) (ii)
25) (ii)
