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)
third quadrant
(ii)
first quadrant
(iii)
second quadrant
(iv)
fourth quadrant
Question
2
2.
The point
(
2
,
(
−
5
)
)
lies in
(i)
fourth quadrant
(ii)
second quadrant
(iii)
first quadrant
(iv)
third quadrant
Question
3
3.
Identify the point belonging to the first quadrant
(i)
(
7
,
(
−
3
)
)
(ii)
(
(
−
8
)
,
(
−
3
)
)
(iii)
(
4
,
2
)
(iv)
(
(
−
1
)
,
8
)
Question
4
4.
Distance of the given point from x-axis is
(i)
64
(ii)
0
(iii)
16
(iv)
8
Question
5
5.
Find the equation of the displayed line
(i)
4
x
=
8
(ii)
x
=
7
(iii)
x
=
9
(iv)
x
=
8
(v)
y
=
8
Question
6
6.
Which of the points (9,8), (-1,1), (-7,-7) and (9,-1) belong to the first quadrant?
(i)
(
(
−
1
)
,
1
)
(ii)
(
9
,
8
)
(iii)
(
9
,
(
−
1
)
)
(iv)
(
(
−
7
)
,
(
−
7
)
)
Question
7
7.
The coordinates of the origin are
(i)
(
0
,
0
)
(ii)
(
1
,
1
)
(iii)
(
1
,
0
)
(iv)
(
0
,
6
)
Question
8
8.
Which of the points (3,1), (-8,2), (-1,-5) and (1,-3) belong to the second quadrant?
(i)
(
3
,
1
)
(ii)
(
(
−
1
)
,
(
−
5
)
)
(iii)
(
1
,
(
−
3
)
)
(iv)
(
(
−
8
)
,
2
)
Question
9
9.
A point lies on negative side of y-axis at a distance of 6 units from x-axis. What are the coordinates of the point?
(i)
(
6
,
0
)
(ii)
(
(
−
6
)
,
0
)
(iii)
(
0
,
(
−
6
)
)
(iv)
(
0
,
6
)
Question
10
10.
Determine the coordinates of point H in the diagram.
(i)
(
(
−
7
)
,
5
)
(ii)
(
5
,
(
−
7
)
)
(iii)
(
(
−
5
)
,
7
)
(iv)
(
(
−
5
)
,
(
−
7
)
)
(v)
(
5
,
7
)
Question
11
11.
Find the set of points satisfying the equation
y
=
(
x
−
4
)
(i)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
4
)
)
,
(
1
,
(
−
3
)
)
,
(
4
,
0
)
(ii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
2
)
)
(iii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
4
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
2
)
)
(iv)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
4
)
)
,
(
0
,
(
−
2
)
)
,
(
2
,
(
−
2
)
)
(v)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
2
)
)
Question
12
12.
Which of the following are true?
a)
A vertical line other than y-axis has no x-intercept
b)
A horizontal line other than x-axis has no y-intercept
c)
A vertical line other than y-axis has no y-intercept
d)
A horizontal line other than x-axis has no x-intercept
(i)
{b,d}
(ii)
{a,d,c}
(iii)
{a,c}
(iv)
{c,d}
(v)
{a,b,c}
Question
13
13.
Which of the following is a point on the positive y-axis?
(i)
(
0
,
(
−
6
)
)
(ii)
(
0
,
6
)
(iii)
(
(
−
5
)
,
7
)
(iv)
(
(
−
6
)
,
0
)
(v)
(
7
,
0
)
Question
14
14.
Determine the quadrant of the displayed point
(i)
second quadrant
(ii)
first quadrant
(iii)
fourth quadrant
(iv)
third quadrant
Question
15
15.
Which of the displayed lines represent the equation
x
=
6
(i)
line with point
Q
(ii)
line with point
S
(iii)
line with point
R
(iv)
line with point
P
(v)
line with point
T
Question
16
16.
Find the set of points satisfying the equation
y
=
(
−
3
)
(i)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
(
−
2
)
,
(
−
5
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
(ii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
(
−
3
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
(iii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
1
,
(
−
4
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
(iv)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
(
−
3
)
)
,
(
0
,
(
−
2
)
)
,
(
2
,
(
−
3
)
)
(v)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
(
−
3
)
)
,
(
1
,
(
−
3
)
)
,
(
4
,
(
−
1
)
)
Question
17
17.
Identify the point belonging to the fourth quadrant
(i)
(
6
,
9
)
(ii)
(
3
,
(
−
3
)
)
(iii)
(
(
−
8
)
,
2
)
(iv)
(
(
−
3
)
,
(
−
9
)
)
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
10
3
)
,
(
0
,
2
3
)
,
(
1
,
(
−
2
)
)
,
(
2
,
(
−
14
3
)
)
?
(i)
y
=
0
(ii)
y
=
(
−
17
11
x
+
119
11
)
(iii)
x
=
(
17
11
y
+
7
)
(iv)
(
8
x
+
3
y
−
2
)
=
0
(v)
x
=
7
Question
19
19.
Distance of the given point from y-axis is
(i)
1
(ii)
9
(iii)
4
(iv)
20
(v)
5
Question
20
20.
Which of the following equations satisfy the given points
(
8
,
(
−
2
)
)
,
(
8
,
(
−
1
)
)
,
(
8
,
0
)
,
(
8
,
1
)
,
(
8
,
2
)
?
(i)
y
=
(
−
9
)
(ii)
(
−
14
x
−
12
y
+
26
)
=
0
(iii)
x
=
(
7
6
y
+
37
2
)
(iv)
x
=
8
(v)
y
=
(
−
7
6
x
+
1
3
)
Question
21
21.
Which of the displayed lines represent the equation
(
3
x
−
5
y
−
10
)
=
0
?
(i)
line with point
V
(ii)
line with point
T
(iii)
line with point
U
(iv)
line with point
S
(v)
line with point
W
Question
22
22.
Find the equation of the line passing through the points
(
4
,
(
−
6
)
)
and
(
(
−
2
)
,
5
)
(i)
(
11
x
+
6
y
−
14
)
=
0
(ii)
(
11
x
+
6
y
−
19
)
=
0
(iii)
(
12
x
+
6
y
−
8
)
=
0
(iv)
(
10
x
+
6
y
−
8
)
=
0
(v)
(
11
x
+
6
y
−
8
)
=
0
Question
23
23.
The point
(
(
−
5
)
,
(
−
1
)
)
lies in
(i)
third quadrant
(ii)
second quadrant
(iii)
first quadrant
(iv)
fourth quadrant
Question
24
24.
The coordinates of a point which is 1 unit away from x-axis and 6 units away from y-axis in the second quadrant is
(i)
(
1
,
(
−
6
)
)
(ii)
(
6
,
(
−
1
)
)
(iii)
(
6
,
1
)
(iv)
(
(
−
6
)
,
1
)
(v)
(
(
−
6
)
,
(
−
1
)
)
Question
25
25.
In a coordinate geometry plane, the vertical reference line is called
(i)
y-axis
(ii)
ordinate
(iii)
origin
(iv)
abscissa
(v)
x-axis
Assignment Key
1) (iii)
2) (i)
3) (iii)
4) (iv)
5) (iv)
6) (ii)
7) (i)
8) (iv)
9) (iii)
10) (ii)
11) (iii)
12) (iv)
13) (ii)
14) (ii)
15) (iv)
16) (ii)
17) (ii)
18) (iv)
19) (v)
20) (iv)
21) (iv)
22) (v)
23) (i)
24) (iv)
25) (i)