EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Determine the quadrant of the displayed point
(i)
second quadrant
(ii)
third quadrant
(iii)
fourth quadrant
(iv)
first quadrant
Question
2
2.
If point P(x,y) lies in the first quadrant, then
(i)
x is positive and y is negative
(ii)
x is positive and y is positive
(iii)
x is negative and y is positive
(iv)
x is negative and y is negative
Question
3
3.
Which of the points (9,9), (-7,7), (-7,-2) and (3,-5) belong to the second quadrant?
(i)
(
(
−
7
)
,
(
−
2
)
)
(ii)
(
9
,
9
)
(iii)
(
3
,
(
−
5
)
)
(iv)
(
(
−
7
)
,
7
)
Question
4
4.
Which of the displayed lines represent the equation
x
=
8
(i)
line with point
V
(ii)
line with point
U
(iii)
line with point
T
(iv)
line with point
X
(v)
line with point
W
Question
5
5.
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)
(
0
,
7
)
(iii)
(
0
,
(
−
7
)
)
(iv)
(
(
−
7
)
,
0
)
Question
6
6.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
8
)
)
,
(
(
−
1
)
,
(
−
8
)
)
,
(
0
,
(
−
8
)
)
,
(
1
,
(
−
8
)
)
,
(
2
,
(
−
8
)
)
?
(i)
(
−
10
x
−
10
y
−
40
)
=
0
(ii)
y
=
(
−
8
)
(iii)
x
=
(
−
2
)
(iv)
(
12
x
+
4
y
−
3
)
=
0
(v)
x
=
(
y
+
6
)
Question
7
7.
Determine the coordinates of point M in the diagram.
(i)
(
7
,
(
−
2
)
)
(ii)
(
(
−
7
)
,
(
−
2
)
)
(iii)
(
(
−
7
)
,
2
)
(iv)
(
7
,
2
)
(v)
(
(
−
2
)
,
7
)
Question
8
8.
Find the set of points satisfying the equation
(
4
x
+
5
y
−
1
)
=
0
(i)
(
(
−
2
)
,
9
5
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
1
5
)
,
(
1
,
(
−
3
5
)
)
,
(
4
,
3
5
)
(ii)
(
(
−
2
)
,
9
5
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
1
5
)
,
(
0
,
2
5
)
,
(
2
,
(
−
7
5
)
)
(iii)
(
(
−
2
)
,
9
5
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
1
5
)
,
(
1
,
(
−
3
5
)
)
,
(
2
,
(
−
7
5
)
)
(iv)
(
(
−
2
)
,
9
5
)
,
(
(
−
1
)
,
1
1
)
,
(
(
−
2
)
,
(
−
9
5
)
)
,
(
1
,
(
−
3
5
)
)
,
(
2
,
(
−
7
5
)
)
(v)
(
(
−
2
)
,
9
5
)
,
(
(
−
1
)
,
1
1
)
,
(
1
,
(
−
4
5
)
)
,
(
1
,
(
−
3
5
)
)
,
(
2
,
(
−
7
5
)
)
Question
9
9.
The x-coordinate of a point is also called as
(i)
ordinate
(ii)
y-axis
(iii)
origin
(iv)
x-axis
(v)
abscissa
Question
10
10.
Distance of the given point from x-axis is
(i)
7
(ii)
1
(iii)
5
(iv)
6
Question
11
11.
Find the set of points satisfying the equation
y
=
(
−
8
7
x
)
(i)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
8
7
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
8
7
)
)
,
(
2
,
(
−
16
7
)
)
(ii)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
8
7
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
8
7
)
)
,
(
2
,
(
−
16
7
)
)
(iii)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
8
7
)
,
(
0
,
0
)
,
(
0
,
(
−
1
7
)
)
,
(
2
,
(
−
16
7
)
)
(iv)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
8
7
)
,
(
0
,
0
)
,
(
1
,
(
−
8
7
)
)
,
(
4
,
(
−
2
7
)
)
(v)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
8
7
)
,
(
0
,
0
)
,
(
1
,
(
−
8
7
)
)
,
(
2
,
(
−
16
7
)
)
Question
12
12.
The point
(
(
−
9
)
,
(
−
9
)
)
lies in
(i)
fourth quadrant
(ii)
third quadrant
(iii)
second quadrant
(iv)
first quadrant
Question
13
13.
Identify the point belonging to the third quadrant
(i)
(
3
,
1
)
(ii)
(
3
,
(
−
8
)
)
(iii)
(
(
−
8
)
,
1
)
(iv)
(
(
−
8
)
,
(
−
8
)
)
Question
14
14.
Determine the coordinates of point N in the diagram.
(i)
(
(
−
3
)
,
4
)
(ii)
(
3
,
4
)
(iii)
(
3
,
(
−
4
)
)
(iv)
(
(
−
3
)
,
(
−
4
)
)
(v)
(
4
,
(
−
3
)
)
Question
15
15.
Which of the following is a point on the y-axis?
(i)
(
9
,
0
)
(ii)
(
8
,
(
−
3
)
)
(iii)
(
(
−
3
)
,
3
)
(iv)
(
0
,
8
)
(v)
(
1
,
1
)
Question
16
16.
Find the set of points satisfying the equation
x
=
(
−
1
)
(i)
(
(
−
1
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
1
)
,
0
)
,
(
(
−
1
)
,
1
)
,
(
1
,
4
)
(ii)
(
(
−
1
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
(
−
1
)
,
1
)
,
(
(
−
1
)
,
2
)
(iii)
(
(
−
1
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
1
)
,
0
)
,
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
(iv)
(
(
−
1
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
1
)
,
0
)
,
(
(
−
1
)
,
1
)
,
(
(
−
1
)
,
2
)
(v)
(
(
−
1
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
3
)
,
(
−
2
)
)
,
(
(
−
1
)
,
1
)
,
(
(
−
1
)
,
2
)
Question
17
17.
Find the set of points satisfying the equation
x
=
(
13
7
y
−
10
7
)
(i)
(
(
−
2
)
,
(
−
4
13
)
)
,
(
(
−
1
)
,
3
13
)
,
(
(
−
2
)
,
(
−
16
13
)
)
,
(
1
,
17
13
)
,
(
2
,
24
13
)
(ii)
(
(
−
2
)
,
(
−
4
13
)
)
,
(
(
−
1
)
,
3
13
)
,
(
0
,
10
13
)
,
(
1
,
17
13
)
,
(
2
,
24
13
)
(iii)
(
(
−
2
)
,
(
−
4
13
)
)
,
(
(
−
1
)
,
3
13
)
,
(
0
,
10
13
)
,
(
0
,
30
13
)
,
(
2
,
24
13
)
(iv)
(
(
−
2
)
,
(
−
4
13
)
)
,
(
(
−
1
)
,
3
13
)
,
(
0
,
10
13
)
,
(
1
,
17
13
)
,
(
4
,
50
13
)
(v)
(
(
−
2
)
,
(
−
4
13
)
)
,
(
(
−
1
)
,
3
13
)
,
(
1
,
(
−
3
13
)
)
,
(
1
,
17
13
)
,
(
2
,
24
13
)
Question
18
18.
Find the equation of the line passing through the points
(
3
,
7
)
and
(
(
−
2
)
,
1
)
(i)
(
−
6
x
+
5
y
−
17
)
=
0
(ii)
(
−
5
x
+
5
y
−
17
)
=
0
(iii)
(
−
7
x
+
5
y
−
17
)
=
0
(iv)
(
−
6
x
+
5
y
−
22
)
=
0
(v)
(
−
6
x
+
5
y
−
11
)
=
0
Question
19
19.
Determine the coordinates of point A in the diagram.
(i)
(
4
,
(
−
6
)
)
(ii)
(
(
−
4
)
,
6
)
(iii)
(
6
,
4
)
(iv)
(
4
,
6
)
(v)
(
(
−
4
)
,
(
−
6
)
)
Question
20
20.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
fourth quadrant
(iii)
third quadrant
(iv)
second quadrant
Question
21
21.
Which of the following equations satisfy the given points
(
(
−
2
)
,
30
7
)
,
(
(
−
1
)
,
33
14
)
,
(
0
,
3
7
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
24
7
)
)
?
(i)
x
=
0
(ii)
(
−
10
x
−
11
y
−
8
)
=
0
(iii)
(
27
x
+
14
y
−
6
)
=
0
(iv)
x
=
(
10
11
y
−
90
11
)
(v)
y
=
9
Question
22
22.
The coordinates of a point which is 4 units away from x-axis and 2 units away from y-axis in the fourth quadrant is
(i)
(
2
,
4
)
(ii)
(
2
,
(
−
4
)
)
(iii)
(
(
−
4
)
,
2
)
(iv)
(
(
−
2
)
,
(
−
4
)
)
(v)
(
(
−
2
)
,
4
)
Question
23
23.
In a coordinate geometry plane, the horizontal reference line is called
(i)
y-axis
(ii)
abscissa
(iii)
x-axis
(iv)
origin
(v)
ordinate
Question
24
24.
Identify the point belonging to the fourth quadrant
(i)
(
(
−
7
)
,
(
−
8
)
)
(ii)
(
(
−
5
)
,
2
)
(iii)
(
5
,
7
)
(iv)
(
9
,
(
−
4
)
)
Question
25
25.
The point of intersection of x-axis and y-axis
(i)
(
1
,
1
)
(ii)
(
0
,
4
)
(iii)
(
4
,
0
)
(iv)
(
1
,
0
)
(v)
(
0
,
0
)
Assignment Key
1) (iii)
2) (ii)
3) (iv)
4) (iii)
5) (iv)
6) (ii)
7) (i)
8) (iii)
9) (v)
10) (iv)
11) (v)
12) (ii)
13) (iv)
14) (i)
15) (iv)
16) (iv)
17) (ii)
18) (i)
19) (iv)
20) (iii)
21) (iii)
22) (ii)
23) (iii)
24) (iv)
25) (v)
