EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the set of points satisfying the equation
x
=
(
−
8
)
(i)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
6
)
,
4
)
(ii)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
(iii)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
10
)
,
(
−
2
)
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
(iv)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
9
)
,
2
)
,
(
(
−
8
)
,
2
)
(v)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
Question
2
2.
Find the set of points satisfying the equation
x
=
(
−
14
11
y
+
10
11
)
(i)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
3
2
)
,
(
0
,
5
7
)
,
(
0
,
13
14
)
,
(
2
,
(
−
6
7
)
)
(ii)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
3
2
)
,
(
(
−
2
)
,
(
−
9
7
)
)
,
(
1
,
(
−
1
14
)
)
,
(
2
,
(
−
6
7
)
)
(iii)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
3
2
)
,
(
0
,
5
7
)
,
(
1
,
(
−
1
14
)
)
,
(
4
,
8
7
)
(iv)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
3
2
)
,
(
0
,
5
7
)
,
(
1
,
(
−
1
14
)
)
,
(
2
,
(
−
6
7
)
)
(v)
(
(
−
2
)
,
16
7
)
,
(
(
−
1
)
,
3
2
)
,
(
1
,
(
−
2
7
)
)
,
(
1
,
(
−
1
14
)
)
,
(
2
,
(
−
6
7
)
)
Question
3
3.
Which of the displayed lines represent the equation
y
=
(
−
2
)
(i)
line with point
O
(ii)
line with point
R
(iii)
line with point
Q
(iv)
line with point
S
(v)
line with point
P
Question
4
4.
A point lies on negative side of x-axis at a distance of 5 units from y-axis. What are the coordinates of the point?
(i)
(
0
,
(
−
5
)
)
(ii)
(
(
−
5
)
,
0
)
(iii)
(
5
,
0
)
(iv)
(
0
,
5
)
Question
5
5.
Which of the following is a point on the positive y-axis?
(i)
(
8
,
0
)
(ii)
(
(
−
5
)
,
2
)
(iii)
(
0
,
7
)
(iv)
(
(
−
4
)
,
0
)
(v)
(
0
,
(
−
5
)
)
Question
6
6.
Distance of the given point from y-axis is
(i)
2
(ii)
-3
(iii)
5
(iv)
7
(v)
10
Question
7
7.
Which of the displayed lines represent the equation
y
=
9
8
x
(i)
line with point
S
(ii)
line with point
R
(iii)
line with point
U
(iv)
line with point
Q
(v)
line with point
T
Question
8
8.
The coordinates of a point which is 6 units away from x-axis and 8 units away from y-axis in the fourth quadrant is
(i)
(
8
,
(
−
6
)
)
(ii)
(
8
,
6
)
(iii)
(
(
−
8
)
,
(
−
6
)
)
(iv)
(
(
−
8
)
,
6
)
(v)
(
(
−
6
)
,
8
)
Question
9
9.
If point P(x,y) lies in the third quadrant, then
(i)
x is negative and y is positive
(ii)
x is negative and y is negative
(iii)
x is positive and y is negative
(iv)
x is positive and y is positive
Question
10
10.
Determine the coordinates of point N in the diagram.
(i)
(
(
−
2
)
,
(
−
8
)
)
(ii)
(
2
,
8
)
(iii)
(
8
,
2
)
(iv)
(
(
−
2
)
,
8
)
(v)
(
2
,
(
−
8
)
)
Question
11
11.
The point
(
(
−
8
)
,
(
−
5
)
)
lies in
(i)
third quadrant
(ii)
first quadrant
(iii)
second quadrant
(iv)
fourth quadrant
Question
12
12.
If point P(x,y) lies in the first quadrant, then
(i)
x is negative and y is negative
(ii)
x is positive and y is negative
(iii)
x is negative and y is positive
(iv)
x is positive and y is positive
Question
13
13.
Find the equation of the displayed line
(i)
x
=
(
−
2
)
(ii)
y
=
(
−
2
)
(iii)
x
=
(
−
1
)
(iv)
4
x
=
(
−
2
)
(v)
x
=
(
−
3
)
Question
14
14.
Identify the point belonging to the second quadrant
(i)
(
(
−
7
)
,
(
−
2
)
)
(ii)
(
(
−
3
)
,
8
)
(iii)
(
8
,
(
−
9
)
)
(iv)
(
1
,
1
)
Question
15
15.
The coordinates of the origin are
(i)
(
0
,
0
)
(ii)
(
1
,
1
)
(iii)
(
0
,
8
)
(iv)
(
1
,
0
)
(v)
(
8
,
0
)
Question
16
16.
Find the set of points satisfying the equation
y
=
0
(i)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
0
,
0
)
,
(
0
,
1
)
,
(
2
,
0
)
(ii)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
0
,
0
)
,
(
1
,
0
)
,
(
4
,
2
)
(iii)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
0
,
0
)
,
(
1
,
0
)
,
(
2
,
0
)
(iv)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
0
)
,
(
2
,
0
)
(v)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
1
,
(
−
1
)
)
,
(
1
,
0
)
,
(
2
,
0
)
Question
17
17.
Find the set of points satisfying the equation
y
=
(
12
7
x
−
80
7
)
(i)
(
(
−
2
)
,
(
−
104
7
)
)
,
(
(
−
1
)
,
(
−
92
7
)
)
,
(
(
−
2
)
,
(
−
94
7
)
)
,
(
1
,
(
−
68
7
)
)
,
(
2
,
(
−
8
)
)
(ii)
(
(
−
2
)
,
(
−
104
7
)
)
,
(
(
−
1
)
,
(
−
92
7
)
)
,
(
0
,
(
−
80
7
)
)
,
(
1
,
(
−
68
7
)
)
,
(
2
,
(
−
8
)
)
(iii)
(
(
−
2
)
,
(
−
104
7
)
)
,
(
(
−
1
)
,
(
−
92
7
)
)
,
(
1
,
(
−
87
7
)
)
,
(
1
,
(
−
68
7
)
)
,
(
2
,
(
−
8
)
)
(iv)
(
(
−
2
)
,
(
−
104
7
)
)
,
(
(
−
1
)
,
(
−
92
7
)
)
,
(
0
,
(
−
80
7
)
)
,
(
1
,
(
−
68
7
)
)
,
(
4
,
(
−
6
)
)
(v)
(
(
−
2
)
,
(
−
104
7
)
)
,
(
(
−
1
)
,
(
−
92
7
)
)
,
(
0
,
(
−
80
7
)
)
,
(
0
,
(
−
61
7
)
)
,
(
2
,
(
−
8
)
)
Question
18
18.
Determine the coordinates of point X in the diagram.
(i)
(
2
,
7
)
(ii)
(
(
−
2
)
,
7
)
(iii)
(
2
,
(
−
7
)
)
(iv)
(
(
−
2
)
,
(
−
7
)
)
(v)
(
(
−
7
)
,
(
−
2
)
)
Question
19
19.
Which of the following are true?
a)
The abscissa of every point on x-axis is zero
b)
The ordinate of every point on x-axis is zero
c)
The ordinate of every point on y-axis is zero
d)
The abscissa of every point on y-axis is zero
(i)
{c,d}
(ii)
{a,b}
(iii)
{a,c,b}
(iv)
{a,d,b}
(v)
{b,d}
Question
20
20.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
second quadrant
(iii)
third quadrant
(iv)
fourth quadrant
Question
21
21.
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 negative and y is positive
(iv)
x is positive and y is positive
Question
22
22.
Identify the point belonging to the fourth quadrant
(i)
(
7
,
2
)
(ii)
(
(
−
1
)
,
(
−
9
)
)
(iii)
(
(
−
8
)
,
4
)
(iv)
(
9
,
(
−
9
)
)
Question
23
23.
The y-coordinate of a point is also called as
(i)
origin
(ii)
x-axis
(iii)
y-axis
(iv)
ordinate
(v)
abscissa
Question
24
24.
Which of the points (6,1), (-8,7), (-8,-7) and (7,-1) belong to the first quadrant?
(i)
(
(
−
8
)
,
(
−
7
)
)
(ii)
(
6
,
1
)
(iii)
(
7
,
(
−
1
)
)
(iv)
(
(
−
8
)
,
7
)
Question
25
25.
Distance of the point (4,3) from x-axis is
(i)
3
(ii)
(
−
1
)
(iii)
1
(iv)
7
(v)
4
Assignment Key
1) (v)
2) (iv)
3) (i)
4) (ii)
5) (iii)
6) (i)
7) (iv)
8) (i)
9) (ii)
10) (ii)
11) (i)
12) (iv)
13) (i)
14) (ii)
15) (i)
16) (iii)
17) (ii)
18) (iv)
19) (v)
20) (iv)
21) (i)
22) (iv)
23) (iv)
24) (ii)
25) (i)
