EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate System and Graphs
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If point P(x,y) lies in the fourth quadrant, then
(i)
x is positive and y is negative
(ii)
x is negative and y is negative
(iii)
x is positive and y is positive
(iv)
x is negative and y is positive
Question
2
2.
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)
(
2
,
0
)
(ii)
(
(
−
2
)
,
0
)
(iii)
(
0
,
2
)
(iv)
(
0
,
(
−
2
)
)
Question
3
3.
Distance of the given point from x-axis is
(i)
7
(ii)
49
(iii)
0
(iv)
14
Question
4
4.
Solve
(
−
6
x
+
2
y
)
=
0
(
x
−
2
)
=
0
(i)
(
0
,
(
−
1
)
)
(ii)
(
2
,
6
)
(iii)
(
2
,
0
)
(iv)
(
0
,
6
)
(v)
(
0
,
0
)
Question
5
5.
A point lies on positive side of x-axis at a distance of 7 units from y-axis. What are the coordinates of the point?
(i)
(
7
,
0
)
(ii)
(
0
,
7
)
(iii)
(
0
,
(
−
7
)
)
(iv)
(
(
−
7
)
,
0
)
Question
6
6.
Identify the point belonging to the second quadrant
(i)
(
(
−
3
)
,
2
)
(ii)
(
1
,
3
)
(iii)
(
(
−
5
)
,
(
−
7
)
)
(iv)
(
2
,
(
−
3
)
)
Question
7
7.
Solve
(
y
+
3
)
=
0
(
y
+
7
)
=
0
(i)
Infinite solutions
(ii)
(
4
,
1
)
(iii)
(
6
,
3
)
(iv)
No solution
(v)
(
(
−
1
)
,
7
)
Question
8
8.
Find the set of points satisfying the equation
y
=
(
−
8
x
)
(i)
(
(
−
2
)
,
16
)
,
(
(
−
1
)
,
8
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
8
)
)
,
(
2
,
(
−
16
)
)
(ii)
(
(
−
2
)
,
16
)
,
(
(
−
1
)
,
8
)
,
(
0
,
0
)
,
(
1
,
(
−
8
)
)
,
(
4
,
(
−
14
)
)
(iii)
(
(
−
2
)
,
16
)
,
(
(
−
1
)
,
8
)
,
(
0
,
0
)
,
(
1
,
(
−
8
)
)
,
(
2
,
(
−
16
)
)
(iv)
(
(
−
2
)
,
16
)
,
(
(
−
1
)
,
8
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
8
)
)
,
(
2
,
(
−
16
)
)
(v)
(
(
−
2
)
,
16
)
,
(
(
−
1
)
,
8
)
,
(
0
,
0
)
,
(
0
,
(
−
7
)
)
,
(
2
,
(
−
16
)
)
Question
9
9.
Distance of the point (9,5) from x-axis is
(i)
14
(ii)
5
(iii)
4
(iv)
9
(v)
(
−
4
)
Question
10
10.
Solve
(
4
x
−
7
y
)
=
0
(
−
2
x
+
14
)
=
0
(i)
(
7
,
4
)
(ii)
(
8
,
1
)
(iii)
(
9
,
6
)
(iv)
(
5
,
2
)
(v)
(
7
,
7
)
Question
11
11.
Find the set of points satisfying the equation
y
=
(
−
4
)
(i)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
4
)
)
,
(
0
,
(
−
3
)
)
,
(
2
,
(
−
4
)
)
(ii)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
1
,
(
−
5
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
(iii)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
4
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
(iv)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
(v)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
4
)
)
,
(
1
,
(
−
4
)
)
,
(
4
,
(
−
2
)
)
Question
12
12.
The coordinates of a point which is 8 units away from x-axis and 7 units away from y-axis in the second quadrant is
(i)
(
7
,
(
−
8
)
)
(ii)
(
8
,
(
−
7
)
)
(iii)
(
7
,
8
)
(iv)
(
(
−
7
)
,
8
)
(v)
(
(
−
7
)
,
(
−
8
)
)
Question
13
13.
Identify the point belonging to the third quadrant
(i)
(
(
−
7
)
,
7
)
(ii)
(
4
,
9
)
(iii)
(
(
−
8
)
,
(
−
8
)
)
(iv)
(
7
,
(
−
5
)
)
Question
14
14.
Which of the displayed lines represent the equation
x
=
(
−
6
)
(i)
line with point
T
(ii)
line with point
U
(iii)
line with point
W
(iv)
line with point
V
(v)
line with point
X
Question
15
15.
Which of the displayed lines represent the equation
y
=
(
x
+
2
)
(i)
line with point
S
(ii)
line with point
U
(iii)
line with point
R
(iv)
line with point
T
(v)
line with point
Q
Question
16
16.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
second quadrant
(iii)
fourth quadrant
(iv)
third quadrant
Question
17
17.
Determine the quadrant of the displayed point
(i)
fourth quadrant
(ii)
second quadrant
(iii)
third quadrant
(iv)
first quadrant
Question
18
18.
Find the set of points satisfying the equation
(
4
x
+
7
y
−
3
)
=
0
(i)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
1
1
)
,
(
(
−
2
)
,
(
−
11
7
)
)
,
(
1
,
(
−
1
7
)
)
,
(
2
,
(
−
5
7
)
)
(ii)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
3
7
)
,
(
0
,
6
7
)
,
(
2
,
(
−
5
7
)
)
(iii)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
3
7
)
,
(
1
,
(
−
1
7
)
)
,
(
2
,
(
−
5
7
)
)
(iv)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
3
7
)
,
(
1
,
(
−
1
7
)
)
,
(
4
,
9
7
)
(v)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
1
1
)
,
(
1
,
(
−
4
7
)
)
,
(
1
,
(
−
1
7
)
)
,
(
2
,
(
−
5
7
)
)
Question
19
19.
A point lies on negative side of x-axis at a distance of 7 units from y-axis. What are the coordinates of the point?
(i)
(
7
,
0
)
(ii)
(
(
−
7
)
,
0
)
(iii)
(
0
,
(
−
7
)
)
(iv)
(
0
,
7
)
Question
20
20.
A point lies on negative side of y-axis at a distance of 8 units from x-axis. What are the coordinates of the point?
(i)
(
(
−
8
)
,
0
)
(ii)
(
8
,
0
)
(iii)
(
0
,
8
)
(iv)
(
0
,
(
−
8
)
)
Question
21
21.
Which of the following is a point on the y-axis?
(i)
(
2
,
0
)
(ii)
(
9
,
(
−
5
)
)
(iii)
(
9
,
1
)
(iv)
(
0
,
9
)
(v)
(
(
−
9
)
,
2
)
Question
22
22.
If point P(x,y) lies in the first quadrant, then
(i)
x is positive and y is negative
(ii)
x is negative and y is positive
(iii)
x is positive and y is positive
(iv)
x is negative and y is negative
Question
23
23.
Which of the following is a point on the positive y-axis?
(i)
(
(
−
9
)
,
3
)
(ii)
(
5
,
0
)
(iii)
(
(
−
5
)
,
0
)
(iv)
(
0
,
(
−
6
)
)
(v)
(
0
,
7
)
Question
24
24.
Find the set of points satisfying the equation
x
=
(
−
1
6
y
+
7
2
)
(i)
(
(
−
2
)
,
33
)
,
(
(
−
1
)
,
27
)
,
(
1
,
20
)
,
(
1
,
15
)
,
(
2
,
9
)
(ii)
(
(
−
2
)
,
33
)
,
(
(
−
1
)
,
27
)
,
(
0
,
21
)
,
(
0
,
16
)
,
(
2
,
9
)
(iii)
(
(
−
2
)
,
33
)
,
(
(
−
1
)
,
27
)
,
(
0
,
21
)
,
(
1
,
15
)
,
(
2
,
9
)
(iv)
(
(
−
2
)
,
33
)
,
(
(
−
1
)
,
27
)
,
(
0
,
21
)
,
(
1
,
15
)
,
(
4
,
11
)
(v)
(
(
−
2
)
,
33
)
,
(
(
−
1
)
,
27
)
,
(
(
−
2
)
,
19
)
,
(
1
,
15
)
,
(
2
,
9
)
Question
25
25.
In a coordinate geometry plane, the horizontal reference line is called
(i)
ordinate
(ii)
abscissa
(iii)
y-axis
(iv)
origin
(v)
x-axis
Assignment Key
1) (i)
2) (iii)
3) (i)
4) (ii)
5) (i)
6) (i)
7) (iv)
8) (iii)
9) (ii)
10) (i)
11) (iii)
12) (iv)
13) (iii)
14) (i)
15) (v)
16) (iv)
17) (i)
18) (iii)
19) (ii)
20) (iv)
21) (iv)
22) (iii)
23) (v)
24) (iii)
25) (v)
