EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Find the equation of the displayed line
(i)
3
y
=
6
(ii)
y
=
5
(iii)
y
=
7
(iv)
y
=
6
(v)
x
=
6
Question
2
2.
The y-coordinate of a point is also called as
(i)
x-axis
(ii)
origin
(iii)
ordinate
(iv)
abscissa
(v)
y-axis
Question
3
3.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
11
)
,
(
(
−
1
)
,
(
−
8
11
)
)
,
(
0
,
(
−
21
11
)
)
,
(
1
,
(
−
34
11
)
)
,
(
2
,
(
−
47
11
)
)
?
(i)
y
=
(
−
13
11
x
+
116
11
)
(ii)
(
−
13
x
−
11
y
−
21
)
=
0
(iii)
(
4
x
+
7
y
−
3
)
=
0
(iv)
x
=
(
13
11
y
−
58
11
)
(v)
x
=
3
Question
4
4.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
third quadrant
Question
5
5.
Determine the quadrant of the displayed point
(i)
third quadrant
(ii)
first quadrant
(iii)
fourth quadrant
(iv)
second quadrant
Question
6
6.
Which of the displayed lines represent the equation
x
=
8
(i)
line with point
Q
(ii)
line with point
R
(iii)
line with point
U
(iv)
line with point
T
(v)
line with point
S
Question
7
7.
A point lies on positive side of x-axis at a distance of 4 units from y-axis. What are the coordinates of the point?
(i)
(
0
,
(
−
4
)
)
(ii)
(
(
−
4
)
,
0
)
(iii)
(
0
,
4
)
(iv)
(
4
,
0
)
Question
8
8.
Which of the following are true?
a)
The ordinate of every point on x-axis is zero
b)
The ordinate of every point on y-axis is zero
c)
The abscissa of every point on y-axis is zero
d)
The abscissa of every point on x-axis is zero
(i)
{d,c}
(ii)
{a,c}
(iii)
{b,a}
(iv)
{b,c,a}
(v)
{b,d,a}
Question
9
9.
Which of the points (9,1), (-2,9), (-9,-5) and (6,-9) belong to the second quadrant?
(i)
(
(
−
9
)
,
(
−
5
)
)
(ii)
(
6
,
(
−
9
)
)
(iii)
(
(
−
2
)
,
9
)
(iv)
(
9
,
1
)
Question
10
10.
Which of the points (3,9), (-3,1), (-3,-6) and (3,-6) belong to the fourth quadrant?
(i)
(
(
−
3
)
,
1
)
(ii)
(
3
,
(
−
6
)
)
(iii)
(
3
,
9
)
(iv)
(
(
−
3
)
,
(
−
6
)
)
Question
11
11.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
fourth quadrant
(iii)
third quadrant
(iv)
second quadrant
Question
12
12.
Which of the points (7,8), (-1,7), (-9,-4) and (4,-1) belong to the third quadrant?
(i)
(
(
−
9
)
,
(
−
4
)
)
(ii)
(
4
,
(
−
1
)
)
(iii)
(
(
−
1
)
,
7
)
(iv)
(
7
,
8
)
Question
13
13.
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 positive and y is negative
(iv)
x is negative and y is negative
Question
14
14.
Find the set of points satisfying the equation
y
=
(
−
14
9
x
+
7
9
)
(i)
(
(
−
2
)
,
35
9
)
,
(
(
−
1
)
,
7
3
)
,
(
0
,
7
9
)
,
(
1
,
(
−
7
9
)
)
,
(
4
,
(
−
1
3
)
)
(ii)
(
(
−
2
)
,
35
9
)
,
(
(
−
1
)
,
7
3
)
,
(
(
−
2
)
,
(
−
11
9
)
)
,
(
1
,
(
−
7
9
)
)
,
(
2
,
(
−
7
3
)
)
(iii)
(
(
−
2
)
,
35
9
)
,
(
(
−
1
)
,
7
3
)
,
(
0
,
7
9
)
,
(
0
,
2
9
)
,
(
2
,
(
−
7
3
)
)
(iv)
(
(
−
2
)
,
35
9
)
,
(
(
−
1
)
,
7
3
)
,
(
1
,
(
−
2
9
)
)
,
(
1
,
(
−
7
9
)
)
,
(
2
,
(
−
7
3
)
)
(v)
(
(
−
2
)
,
35
9
)
,
(
(
−
1
)
,
7
3
)
,
(
0
,
7
9
)
,
(
1
,
(
−
7
9
)
)
,
(
2
,
(
−
7
3
)
)
Question
15
15.
Which of the following is a point on the negative y-axis?
(i)
(
(
−
5
)
,
0
)
(ii)
(
0
,
4
)
(iii)
(
(
−
9
)
,
5
)
(iv)
(
2
,
0
)
(v)
(
0
,
(
−
8
)
)
Question
16
16.
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)
(
0
,
(
−
2
)
)
(iii)
(
0
,
2
)
(iv)
(
2
,
0
)
Question
17
17.
The coordinates of a point which is 5 units away from x-axis and 2 units away from y-axis in the first quadrant is
(i)
(
(
−
2
)
,
(
−
5
)
)
(ii)
(
2
,
5
)
(iii)
(
5
,
2
)
(iv)
(
(
−
2
)
,
5
)
(v)
(
2
,
(
−
5
)
)
Question
18
18.
Find the equation of the line passing through the points
(
8
,
6
)
and
(
(
−
5
)
,
(
−
7
)
)
(i)
(
−
13
x
+
13
y
+
26
)
=
0
(ii)
(
−
13
x
+
13
y
+
39
)
=
0
(iii)
(
−
13
x
+
13
y
+
13
)
=
0
(iv)
(
−
12
x
+
13
y
+
26
)
=
0
(v)
(
−
14
x
+
13
y
+
26
)
=
0
Question
19
19.
Determine the coordinates of point J in the diagram.
(i)
(
(
−
7
)
,
2
)
(ii)
(
7
,
(
−
2
)
)
(iii)
(
7
,
2
)
(iv)
(
(
−
7
)
,
(
−
2
)
)
(v)
(
2
,
7
)
Question
20
20.
Find the set of points satisfying the equation
x
=
5
(i)
(
5
,
(
−
2
)
)
,
(
5
,
(
−
1
)
)
,
(
3
,
(
−
2
)
)
,
(
5
,
1
)
,
(
5
,
2
)
(ii)
(
5
,
(
−
2
)
)
,
(
5
,
(
−
1
)
)
,
(
5
,
0
)
,
(
5
,
1
)
,
(
7
,
4
)
(iii)
(
5
,
(
−
2
)
)
,
(
5
,
(
−
1
)
)
,
(
5
,
0
)
,
(
4
,
2
)
,
(
5
,
2
)
(iv)
(
5
,
(
−
2
)
)
,
(
5
,
(
−
1
)
)
,
(
5
,
0
)
,
(
5
,
1
)
,
(
5
,
2
)
(v)
(
5
,
(
−
2
)
)
,
(
5
,
(
−
1
)
)
,
(
6
,
(
−
1
)
)
,
(
5
,
1
)
,
(
5
,
2
)
Question
21
21.
The coordinates of a point which is 1 unit away from x-axis and 8 units away from y-axis in the fourth quadrant is
(i)
(
(
−
8
)
,
1
)
(ii)
(
8
,
1
)
(iii)
(
(
−
8
)
,
(
−
1
)
)
(iv)
(
8
,
(
−
1
)
)
(v)
(
(
−
1
)
,
8
)
Question
22
22.
Find the set of points satisfying the equation
y
=
(
−
5
2
x
)
(i)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
0
)
,
(
1
,
(
−
5
2
)
)
,
(
2
,
(
−
5
)
)
(ii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
5
2
)
)
,
(
2
,
(
−
5
)
)
(iii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
0
)
,
(
1
,
(
−
5
2
)
)
,
(
4
,
(
−
3
)
)
(iv)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
5
2
)
)
,
(
2
,
(
−
5
)
)
(v)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
0
)
,
(
0
,
(
−
3
2
)
)
,
(
2
,
(
−
5
)
)
Question
23
23.
The coordinates of a point which is 3 units away from x-axis and 8 units away from y-axis in the third quadrant is
(i)
(
8
,
(
−
3
)
)
(ii)
(
(
−
8
)
,
3
)
(iii)
(
(
−
8
)
,
(
−
3
)
)
(iv)
(
(
−
3
)
,
(
−
8
)
)
(v)
(
8
,
3
)
Question
24
24.
Which of the points (3,7), (-3,1), (-8,-5) and (1,-8) belong to the first quadrant?
(i)
(
(
−
3
)
,
1
)
(ii)
(
3
,
7
)
(iii)
(
1
,
(
−
8
)
)
(iv)
(
(
−
8
)
,
(
−
5
)
)
Question
25
25.
Which of the following equations satisfy the given points
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
0
,
0
)
,
(
1
,
0
)
,
(
2
,
0
)
?
(i)
y
=
(
−
7
4
x
+
21
2
)
(ii)
x
=
6
(iii)
y
=
0
(iv)
(
−
14
x
−
8
y
−
20
)
=
0
(v)
x
=
(
7
4
y
+
6
)
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (iii)
5) (iii)
6) (i)
7) (iv)
8) (ii)
9) (iii)
10) (ii)
11) (iii)
12) (i)
13) (iii)
14) (v)
15) (v)
16) (iii)
17) (ii)
18) (i)
19) (iii)
20) (iv)
21) (iv)
22) (i)
23) (iii)
24) (ii)
25) (iii)
