EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate System and Graphs
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Determine the coordinates of point R in the diagram.
(i)
(
(
−
2
)
,
(
−
4
)
)
(ii)
(
2
,
4
)
(iii)
(
(
−
2
)
,
4
)
(iv)
(
4
,
(
−
2
)
)
(v)
(
2
,
(
−
4
)
)
Question
2
2.
If point P(x,y) lies in the fourth quadrant, then
(i)
x is positive and y is positive
(ii)
x is negative and y is positive
(iii)
x is negative and y is negative
(iv)
x is positive and y is negative
Question
3
3.
Find the set of points satisfying the equation
(
7
x
+
4
y
−
2
)
=
0
(i)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
9
4
)
,
(
0
,
1
2
)
,
(
0
,
(
−
1
4
)
)
,
(
2
,
(
−
3
)
)
(ii)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
9
4
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
5
4
)
)
,
(
2
,
(
−
3
)
)
(iii)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
9
4
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
5
4
)
)
,
(
2
,
(
−
3
)
)
(iv)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
9
4
)
,
(
0
,
1
2
)
,
(
1
,
(
−
5
4
)
)
,
(
4
,
(
−
1
)
)
(v)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
9
4
)
,
(
0
,
1
2
)
,
(
1
,
(
−
5
4
)
)
,
(
2
,
(
−
3
)
)
Question
4
4.
Which of the displayed lines represent the equation
(
4
x
−
3
y
+
10
)
=
0
?
(i)
line with point
X
(ii)
line with point
W
(iii)
line with point
V
(iv)
line with point
U
(v)
line with point
T
Question
5
5.
If point P(x,y) lies in the first quadrant, then
(i)
x is negative and y is negative
(ii)
x is negative and y is positive
(iii)
x is positive and y is negative
(iv)
x is positive and y is positive
Question
6
6.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
second quadrant
(iii)
fourth quadrant
(iv)
third quadrant
Question
7
7.
Which of the following equations satisfy the given points
(
(
−
2
)
,
123
5
)
,
(
(
−
1
)
,
22
)
,
(
0
,
97
5
)
,
(
1
,
84
5
)
,
(
2
,
71
5
)
?
(i)
y
=
(
−
4
)
(ii)
x
=
9
(iii)
y
=
(
−
13
5
x
+
97
5
)
(iv)
x
=
(
13
5
y
+
97
5
)
(v)
(
−
13
x
−
5
y
+
4
)
=
0
Question
8
8.
Distance of the point (7,4) from x-axis is
(i)
3
(ii)
4
(iii)
(
−
3
)
(iv)
11
(v)
7
Question
9
9.
Determine the coordinates of point I in the diagram.
(i)
(
2
,
1
)
(ii)
(
(
−
1
)
,
2
)
(iii)
(
2
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
(
−
1
)
)
(v)
(
(
−
2
)
,
1
)
Question
10
10.
Solve
(
−
11
x
−
7
y
−
9
)
=
0
(
x
+
4
)
=
0
(i)
(
0
,
5
)
(ii)
(
(
−
1
)
,
(
−
4
)
)
(iii)
(
(
−
4
)
,
0
)
(iv)
(
(
−
4
)
,
5
)
(v)
(
3
,
(
−
6
)
)
Question
11
11.
Solve
(
6
x
+
5
y
+
30
)
=
0
(
−
x
−
y
−
5
)
=
0
(i)
(
(
−
7
)
,
(
−
2
)
)
(ii)
(
(
−
3
)
,
2
)
(iii)
(
(
−
5
)
,
0
)
(iv)
(
(
−
4
)
,
(
−
1
)
)
(v)
(
(
−
6
)
,
1
)
Question
12
12.
Distance of the given point from y-axis is
(i)
2
(ii)
7
(iii)
12
(iv)
35
(v)
5
Question
13
13.
A point lies on negative side of x-axis at a distance of 1 units from y-axis. What are the coordinates of the point?
(i)
(
1
,
0
)
(ii)
(
(
−
1
)
,
0
)
(iii)
(
0
,
1
)
(iv)
(
0
,
(
−
1
)
)
Question
14
14.
Which of the following equations satisfy the given points
(
(
−
2
)
,
15
7
)
,
(
(
−
1
)
,
9
7
)
,
(
0
,
3
7
)
,
(
1
,
(
−
3
7
)
)
,
(
2
,
(
−
9
7
)
)
?
(i)
(
15
x
+
20
y
−
12
)
=
0
(ii)
x
=
(
6
7
y
+
13
7
)
(iii)
x
=
7
(iv)
(
−
6
x
−
7
y
+
3
)
=
0
(v)
y
=
(
−
6
7
x
+
12
)
Question
15
15.
A point lies on positive side of x-axis at a distance of 3 units from y-axis. What are the coordinates of the point?
(i)
(
0
,
3
)
(ii)
(
3
,
0
)
(iii)
(
(
−
3
)
,
0
)
(iv)
(
0
,
(
−
3
)
)
Question
16
16.
In a coordinate geometry plane, the vertical reference line is called
(i)
abscissa
(ii)
y-axis
(iii)
origin
(iv)
x-axis
(v)
ordinate
Question
17
17.
A point lies on positive 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
18
18.
Find the set of points satisfying the equation
x
=
(
−
8
13
y
+
4
13
)
(i)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
17
8
)
,
(
0
,
1
2
)
,
(
1
,
(
−
9
8
)
)
,
(
4
,
(
−
3
4
)
)
(ii)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
17
8
)
,
(
0
,
1
2
)
,
(
1
,
(
−
9
8
)
)
,
(
2
,
(
−
11
4
)
)
(iii)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
17
8
)
,
(
0
,
1
2
)
,
(
0
,
(
−
1
8
)
)
,
(
2
,
(
−
11
4
)
)
(iv)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
17
8
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
9
8
)
)
,
(
2
,
(
−
11
4
)
)
(v)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
17
8
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
9
8
)
)
,
(
2
,
(
−
11
4
)
)
Question
19
19.
The point
(
7
,
(
−
1
)
)
lies in
(i)
first quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
third quadrant
Question
20
20.
The x-coordinate of a point is also called as
(i)
y-axis
(ii)
x-axis
(iii)
ordinate
(iv)
abscissa
(v)
origin
Question
21
21.
The point
(
8
,
1
)
lies in
(i)
second quadrant
(ii)
fourth quadrant
(iii)
third quadrant
(iv)
first quadrant
Question
22
22.
Determine the quadrant of the displayed point
(i)
second quadrant
(ii)
fourth quadrant
(iii)
third quadrant
(iv)
first quadrant
Question
23
23.
A point lies on negative side of y-axis at a distance of 7 units from x-axis. What are the coordinates of the point?
(i)
(
7
,
0
)
(ii)
(
0
,
(
−
7
)
)
(iii)
(
(
−
7
)
,
0
)
(iv)
(
0
,
7
)
Question
24
24.
Which of the points (2,2), (-1,9), (-6,-6) and (1,-8) belong to the third quadrant?
(i)
(
1
,
(
−
8
)
)
(ii)
(
2
,
2
)
(iii)
(
(
−
1
)
,
9
)
(iv)
(
(
−
6
)
,
(
−
6
)
)
Question
25
25.
If point P(x,y) lies in the third quadrant, then
(i)
x is positive and y is negative
(ii)
x is negative and y is positive
(iii)
x is negative and y is negative
(iv)
x is positive and y is positive
Assignment Key
1) (iii)
2) (iv)
3) (v)
4) (v)
5) (iv)
6) (iv)
7) (iii)
8) (ii)
9) (iii)
10) (iv)
11) (iii)
12) (ii)
13) (ii)
14) (iv)
15) (ii)
16) (ii)
17) (iv)
18) (ii)
19) (ii)
20) (iv)
21) (iv)
22) (iv)
23) (ii)
24) (iv)
25) (iii)
