EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Determine the coordinates of point D in the diagram.
(i)
(
6
,
6
)
(ii)
(
(
−
6
)
,
6
)
(iii)
(
6
,
(
−
6
)
)
(iv)
(
(
−
6
)
,
(
−
6
)
)
Question
2
2.
The coordinates of a point which is 3 units away from x-axis and 6 units away from y-axis in the third quadrant is
(i)
(
(
−
3
)
,
(
−
6
)
)
(ii)
(
6
,
3
)
(iii)
(
6
,
(
−
3
)
)
(iv)
(
(
−
6
)
,
3
)
(v)
(
(
−
6
)
,
(
−
3
)
)
Question
3
3.
Find the set of points satisfying the equation
y
=
2
(i)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
(
−
2
)
,
0
)
,
(
1
,
2
)
,
(
2
,
2
)
(ii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
2
)
,
(
0
,
3
)
,
(
2
,
2
)
(iii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
2
)
,
(
1
,
2
)
,
(
2
,
2
)
(iv)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
2
)
(v)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
2
)
,
(
1
,
2
)
,
(
4
,
4
)
Question
4
4.
The point
(
(
−
8
)
,
1
)
lies in
(i)
second quadrant
(ii)
third quadrant
(iii)
fourth quadrant
(iv)
first quadrant
Question
5
5.
Find the set of points satisfying the equation
x
=
(
1
6
y
+
11
2
)
(i)
(
(
−
2
)
,
(
−
45
)
)
,
(
(
−
1
)
,
(
−
39
)
)
,
(
0
,
(
−
33
)
)
,
(
1
,
(
−
27
)
)
,
(
2
,
(
−
21
)
)
(ii)
(
(
−
2
)
,
(
−
45
)
)
,
(
(
−
1
)
,
(
−
39
)
)
,
(
0
,
(
−
33
)
)
,
(
1
,
(
−
27
)
)
,
(
4
,
(
−
19
)
)
(iii)
(
(
−
2
)
,
(
−
45
)
)
,
(
(
−
1
)
,
(
−
39
)
)
,
(
1
,
(
−
34
)
)
,
(
1
,
(
−
27
)
)
,
(
2
,
(
−
21
)
)
(iv)
(
(
−
2
)
,
(
−
45
)
)
,
(
(
−
1
)
,
(
−
39
)
)
,
(
0
,
(
−
33
)
)
,
(
0
,
(
−
26
)
)
,
(
2
,
(
−
21
)
)
(v)
(
(
−
2
)
,
(
−
45
)
)
,
(
(
−
1
)
,
(
−
39
)
)
,
(
(
−
2
)
,
(
−
35
)
)
,
(
1
,
(
−
27
)
)
,
(
2
,
(
−
21
)
)
Question
6
6.
If point P(x,y) lies in the third quadrant, then
(i)
x is negative and y is positive
(ii)
x is positive and y is negative
(iii)
x is negative and y is negative
(iv)
x is positive and y is positive
Question
7
7.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
1
3
)
)
,
(
(
−
1
)
,
(
−
5
3
)
)
,
(
0
,
(
−
3
)
)
,
(
1
,
(
−
13
3
)
)
,
(
2
,
(
−
17
3
)
)
?
(i)
x
=
(
4
3
y
−
6
)
(ii)
y
=
3
(iii)
x
=
(
−
2
)
(iv)
y
=
(
−
4
3
x
+
1
3
)
(v)
(
−
12
x
−
9
y
−
27
)
=
0
Question
8
8.
Find the set of points satisfying the equation
x
=
4
(i)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
4
,
0
)
,
(
4
,
1
)
,
(
6
,
4
)
(ii)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
4
,
0
)
,
(
4
,
1
)
,
(
4
,
2
)
(iii)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
,
(
4
,
1
)
,
(
4
,
2
)
(iv)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
4
,
0
)
,
(
3
,
2
)
,
(
4
,
2
)
(v)
(
4
,
(
−
2
)
)
,
(
4
,
(
−
1
)
)
,
(
5
,
(
−
1
)
)
,
(
4
,
1
)
,
(
4
,
2
)
Question
9
9.
Which of the points (5,9), (-3,2), (-2,-1) and (8,-1) belong to the first quadrant?
(i)
(
(
−
2
)
,
(
−
1
)
)
(ii)
(
8
,
(
−
1
)
)
(iii)
(
(
−
3
)
,
2
)
(iv)
(
5
,
9
)
Question
10
10.
Which of the following equations satisfy the given points
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
9
,
1
)
,
(
9
,
2
)
?
(i)
x
=
(
13
6
y
+
145
6
)
(ii)
(
−
13
x
−
6
y
+
3
)
=
0
(iii)
y
=
(
−
13
6
x
+
25
2
)
(iv)
y
=
(
−
7
)
(v)
x
=
9
Question
11
11.
The y-coordinate of a point is also called as
(i)
y-axis
(ii)
x-axis
(iii)
ordinate
(iv)
abscissa
(v)
origin
Question
12
12.
Which of the following is a point on the negative x-axis?
(i)
(
0
,
(
−
1
)
)
(ii)
(
(
−
4
)
,
1
)
(iii)
(
0
,
2
)
(iv)
(
8
,
0
)
(v)
(
(
−
2
)
,
0
)
Question
13
13.
Which of the following equations satisfy the given points
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
1
,
7
)
,
(
2
,
7
)
?
(i)
(
−
10
x
−
8
y
−
44
)
=
0
(ii)
x
=
5
(iii)
y
=
(
−
5
4
x
+
53
4
)
(iv)
x
=
(
5
4
y
−
15
4
)
(v)
y
=
7
Question
14
14.
Which of the following are true?
a)
A horizontal line other than x-axis has no x-intercept
b)
A vertical line other than y-axis has no x-intercept
c)
A horizontal line other than x-axis has no y-intercept
d)
A vertical line other than y-axis has no y-intercept
(i)
{b,c,a}
(ii)
{b,d,a}
(iii)
{a,d}
(iv)
{c,d}
(v)
{b,a}
Question
15
15.
A point lies on negative side of x-axis at a distance of 8 units from y-axis. What are the coordinates of the point?
(i)
(
(
−
8
)
,
0
)
(ii)
(
8
,
0
)
(iii)
(
0
,
8
)
(iv)
(
0
,
(
−
8
)
)
Question
16
16.
The point
(
(
−
9
)
,
(
−
1
)
)
lies in
(i)
third quadrant
(ii)
second quadrant
(iii)
first quadrant
(iv)
fourth quadrant
Question
17
17.
Find the set of points satisfying the equation
y
=
(
1
2
x
−
1
)
(i)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
3
2
)
)
,
(
0
,
(
−
1
)
)
,
(
0
,
1
2
)
,
(
2
,
0
)
(ii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
3
2
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
2
)
)
,
(
4
,
2
)
(iii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
3
2
)
)
,
(
(
−
2
)
,
(
−
3
)
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
0
)
(iv)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
3
2
)
)
,
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
0
)
(v)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
3
2
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
0
)
Question
18
18.
Which of the displayed lines represent the equation
y
=
(
−
7
)
(i)
line with point
S
(ii)
line with point
P
(iii)
line with point
O
(iv)
line with point
Q
(v)
line with point
R
Question
19
19.
A point lies on positive side of x-axis at a distance of 8 units from y-axis. What are the coordinates of the point?
(i)
(
0
,
8
)
(ii)
(
0
,
(
−
8
)
)
(iii)
(
(
−
8
)
,
0
)
(iv)
(
8
,
0
)
Question
20
20.
Which of the displayed lines represent the equation
y
=
(
x
−
5
)
(i)
line with point
O
(ii)
line with point
P
(iii)
line with point
S
(iv)
line with point
Q
(v)
line with point
R
Question
21
21.
Which of the following equations satisfy the given points
(
(
−
2
)
,
11
3
)
,
(
(
−
1
)
,
2
)
,
(
0
,
1
3
)
,
(
1
,
(
−
4
3
)
)
,
(
2
,
(
−
3
)
)
?
(i)
(
−
9
x
−
10
y
+
6
)
=
0
(ii)
x
=
5
(iii)
x
=
(
9
10
y
+
1
2
)
(iv)
(
5
x
+
3
y
−
1
)
=
0
(v)
y
=
5
Question
22
22.
Which of the points (2,5), (-1,9), (-8,-8) and (2,-5) belong to the fourth quadrant?
(i)
(
2
,
5
)
(ii)
(
2
,
(
−
5
)
)
(iii)
(
(
−
1
)
,
9
)
(iv)
(
(
−
8
)
,
(
−
8
)
)
Question
23
23.
Which of the following is a point on the negative y-axis?
(i)
(
0
,
(
−
9
)
)
(ii)
(
0
,
4
)
(iii)
(
(
−
8
)
,
6
)
(iv)
(
(
−
7
)
,
0
)
(v)
(
7
,
0
)
Question
24
24.
Find the set of points satisfying the equation
y
=
x
(i)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
1
)
,
(
2
,
2
)
(ii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
0
)
,
(
0
,
2
)
,
(
2
,
2
)
(iii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
1
)
,
(
2
,
2
)
(iv)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
0
)
,
(
1
,
1
)
,
(
2
,
2
)
(v)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
0
)
,
(
1
,
1
)
,
(
4
,
4
)
Question
25
25.
Determine the coordinates of point S in the diagram.
(i)
(
3
,
(
−
3
)
)
(ii)
(
(
−
3
)
,
(
−
3
)
)
(iii)
(
3
,
3
)
(iv)
(
(
−
3
)
,
3
)
Assignment Key
1) (iii)
2) (v)
3) (iii)
4) (i)
5) (i)
6) (iii)
7) (v)
8) (ii)
9) (iv)
10) (v)
11) (iii)
12) (v)
13) (v)
14) (iii)
15) (i)
16) (i)
17) (v)
18) (iii)
19) (iv)
20) (i)
21) (iv)
22) (ii)
23) (i)
24) (iv)
25) (iv)
