EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphs
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
The point
(
9
,
(
−
5
)
)
lies in
(i)
second quadrant
(ii)
first quadrant
(iii)
fourth quadrant
(iv)
third quadrant
Question
2
2.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
third quadrant
(iii)
second quadrant
(iv)
fourth quadrant
Question
3
3.
Determine the coordinates of point Q in the diagram.
(i)
(
(
−
7
)
,
7
)
(ii)
(
(
−
7
)
,
(
−
7
)
)
(iii)
(
7
,
7
)
(iv)
(
7
,
(
−
7
)
)
Question
4
4.
Which of the points (9,4), (-6,9), (-9,-9) and (1,-5) belong to the third quadrant?
(i)
(
9
,
4
)
(ii)
(
(
−
6
)
,
9
)
(iii)
(
(
−
9
)
,
(
−
9
)
)
(iv)
(
1
,
(
−
5
)
)
Question
5
5.
Determine the coordinates of point L in the diagram.
(i)
(
(
−
1
)
,
(
−
3
)
)
(ii)
(
1
,
(
−
3
)
)
(iii)
(
(
−
1
)
,
3
)
(iv)
(
(
−
3
)
,
1
)
(v)
(
1
,
3
)
Question
6
6.
If point P(x,y) lies in the third 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 negative
(iv)
x is negative and y is positive
Question
7
7.
Find the set of points satisfying the equation
y
=
3
x
(i)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
0
)
,
(
1
,
3
)
,
(
2
,
6
)
(ii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
3
)
,
(
2
,
6
)
(iii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
3
)
,
(
2
,
6
)
(iv)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
0
)
,
(
0
,
4
)
,
(
2
,
6
)
(v)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
0
)
,
(
1
,
3
)
,
(
4
,
8
)
Question
8
8.
Which of the following equations satisfy the given points
(
(
−
2
)
,
17
14
)
,
(
(
−
1
)
,
4
7
)
,
(
0
,
(
−
1
14
)
)
,
(
1
,
(
−
5
7
)
)
,
(
2
,
(
−
19
14
)
)
?
(i)
x
=
(
9
14
y
+
30
7
)
(ii)
(
2
x
+
2
y
−
1
)
=
0
(iii)
y
=
(
−
9
14
x
−
1
14
)
(iv)
y
=
(
−
2
)
(v)
(
−
9
x
−
14
y
+
17
)
=
0
Question
9
9.
Determine the quadrant of the displayed point
(i)
second quadrant
(ii)
fourth quadrant
(iii)
first quadrant
(iv)
third quadrant
Question
10
10.
Identify the point belonging to the fourth quadrant
(i)
(
(
−
5
)
,
(
−
6
)
)
(ii)
(
(
−
8
)
,
6
)
(iii)
(
5
,
(
−
6
)
)
(iv)
(
5
,
3
)
Question
11
11.
The coordinates of a point which is 1 unit away from x-axis and 5 units away from y-axis in the first quadrant is
(i)
(
1
,
5
)
(ii)
(
(
−
5
)
,
1
)
(iii)
(
5
,
(
−
1
)
)
(iv)
(
(
−
5
)
,
(
−
1
)
)
(v)
(
5
,
1
)
Question
12
12.
The point of intersection of x-axis and y-axis
(i)
(
1
,
1
)
(ii)
(
0
,
0
)
(iii)
(
4
,
0
)
(iv)
(
1
,
0
)
(v)
(
0
,
7
)
Question
13
13.
Which of the following is a point on the negative x-axis?
(i)
(
(
−
2
)
,
0
)
(ii)
(
4
,
0
)
(iii)
(
(
−
2
)
,
6
)
(iv)
(
0
,
8
)
(v)
(
0
,
(
−
4
)
)
Question
14
14.
Which of the following is a point on the negative y-axis?
(i)
(
0
,
1
)
(ii)
(
(
−
8
)
,
7
)
(iii)
(
(
−
8
)
,
0
)
(iv)
(
3
,
0
)
(v)
(
0
,
(
−
2
)
)
Question
15
15.
Which of the points (1,3), (-9,4), (-6,-1) and (8,-7) belong to the second quadrant?
(i)
(
8
,
(
−
7
)
)
(ii)
(
(
−
9
)
,
4
)
(iii)
(
(
−
6
)
,
(
−
1
)
)
(iv)
(
1
,
3
)
Question
16
16.
The coordinates of a point which is 5 units away from x-axis and 4 units away from y-axis in the fourth quadrant is
(i)
(
(
−
4
)
,
5
)
(ii)
(
(
−
4
)
,
(
−
5
)
)
(iii)
(
(
−
5
)
,
4
)
(iv)
(
4
,
5
)
(v)
(
4
,
(
−
5
)
)
Question
17
17.
Which of the following is a point on the x-axis?
(i)
(
0
,
4
)
(ii)
(
2
,
(
−
1
)
)
(iii)
(
8
,
0
)
(iv)
(
4
,
3
)
(v)
(
(
−
2
)
,
1
)
Question
18
18.
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 horizontal line other than x-axis has no x-intercept
d)
A vertical line other than y-axis has no y-intercept
(i)
{b,d}
(ii)
{a,d,c}
(iii)
{c,d}
(iv)
{a,b,c}
(v)
{a,c}
Question
19
19.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
fourth quadrant
(iii)
third quadrant
(iv)
second quadrant
Question
20
20.
Which of the following equations satisfy the given points
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
)
,
(
0
,
1
)
,
(
1
,
1
)
,
(
2
,
1
)
?
(i)
y
=
(
−
10
17
x
−
33
17
)
(ii)
x
=
(
−
5
)
(iii)
(
−
10
x
−
17
y
+
5
)
=
0
(iv)
x
=
(
10
17
y
−
95
17
)
(v)
y
=
1
Question
21
21.
Identify the point belonging to the first quadrant
(i)
(
(
−
5
)
,
(
−
7
)
)
(ii)
(
7
,
(
−
1
)
)
(iii)
(
(
−
6
)
,
6
)
(iv)
(
3
,
3
)
Question
22
22.
Determine the coordinates of point K in the diagram.
(i)
(
5
,
(
−
5
)
)
(ii)
(
(
−
5
)
,
(
−
5
)
)
(iii)
(
(
−
5
)
,
5
)
(iv)
(
5
,
5
)
Question
23
23.
The coordinates of a point which is 8 units away from x-axis and 6 units away from y-axis in the third quadrant is
(i)
(
6
,
(
−
8
)
)
(ii)
(
(
−
6
)
,
8
)
(iii)
(
6
,
8
)
(iv)
(
(
−
6
)
,
(
−
8
)
)
(v)
(
(
−
8
)
,
(
−
6
)
)
Question
24
24.
Distance of the point (6,2) from x-axis is
(i)
8
(ii)
2
(iii)
(
−
4
)
(iv)
4
(v)
6
Question
25
25.
Find the set of points satisfying the equation
x
=
(
−
1
)
(i)
(
(
−
1
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
(
−
1
)
,
1
)
,
(
(
−
1
)
,
2
)
(ii)
(
(
−
1
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
3
)
,
(
−
2
)
)
,
(
(
−
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
)
)
,
(
(
−
1
)
,
0
)
,
(
(
−
1
)
,
1
)
,
(
1
,
4
)
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (iii)
5) (ii)
6) (iii)
7) (i)
8) (iii)
9) (i)
10) (iii)
11) (v)
12) (ii)
13) (i)
14) (v)
15) (ii)
16) (v)
17) (iii)
18) (iii)
19) (ii)
20) (v)
21) (iv)
22) (ii)
23) (iv)
24) (ii)
25) (iv)