EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate System and Graphs
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find the set of points satisfying the equation
x
=
9
(i)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
9
,
1
)
,
(
11
,
4
)
(ii)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
8
,
2
)
,
(
9
,
2
)
(iii)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
7
,
(
−
2
)
)
,
(
9
,
1
)
,
(
9
,
2
)
(iv)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
10
,
(
−
1
)
)
,
(
9
,
1
)
,
(
9
,
2
)
(v)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
9
,
1
)
,
(
9
,
2
)
Question
2
2.
Which of the following is a point on the positive x-axis?
(i)
(
7
,
0
)
(ii)
(
(
−
7
)
,
0
)
(iii)
(
0
,
8
)
(iv)
(
(
−
5
)
,
1
)
(v)
(
0
,
(
−
6
)
)
Question
3
3.
Identify the point belonging to the first quadrant
(i)
(
(
−
8
)
,
(
−
9
)
)
(ii)
(
4
,
3
)
(iii)
(
(
−
9
)
,
1
)
(iv)
(
5
,
(
−
4
)
)
Question
4
4.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
third quadrant
(iii)
fourth quadrant
(iv)
second quadrant
Question
5
5.
The y-coordinate of a point is also called as
(i)
y-axis
(ii)
ordinate
(iii)
abscissa
(iv)
x-axis
(v)
origin
Question
6
6.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
third quadrant
Question
7
7.
Determine the quadrant of the displayed point
(i)
third quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
first quadrant
Question
8
8.
Which of the displayed lines represent the equation
y
=
1
2
x
(i)
line with point
W
(ii)
line with point
X
(iii)
line with point
U
(iv)
line with point
T
(v)
line with point
V
Question
9
9.
If point P(x,y) lies in the first 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
10
10.
The x-coordinate of a point is also called as
(i)
y-axis
(ii)
ordinate
(iii)
abscissa
(iv)
origin
(v)
x-axis
Question
11
11.
The point
(
(
−
3
)
,
3
)
lies in
(i)
second quadrant
(ii)
fourth quadrant
(iii)
first quadrant
(iv)
third quadrant
Question
12
12.
Which of the following are true?
a)
The abscissa of every point on y-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 x-axis is zero
(i)
{c,b,a}
(ii)
{c,d,a}
(iii)
{c,a}
(iv)
{d,b}
(v)
{a,b}
Question
13
13.
Which of the points (6,7), (-7,8), (-5,-4) and (2,-6) belong to the third quadrant?
(i)
(
2
,
(
−
6
)
)
(ii)
(
6
,
7
)
(iii)
(
(
−
7
)
,
8
)
(iv)
(
(
−
5
)
,
(
−
4
)
)
Question
14
14.
Determine the coordinates of point P in the diagram.
(i)
(
(
−
5
)
,
(
−
4
)
)
(ii)
(
4
,
5
)
(iii)
(
5
,
4
)
(iv)
(
(
−
5
)
,
4
)
(v)
(
5
,
(
−
4
)
)
Question
15
15.
Which of the following is a point on the x-axis?
(i)
(
(
−
2
)
,
7
)
(ii)
(
9
,
0
)
(iii)
(
0
,
1
)
(iv)
(
2
,
7
)
(v)
(
3
,
(
−
3
)
)
Question
16
16.
Identify the point belonging to the second quadrant
(i)
(
4
,
(
−
4
)
)
(ii)
(
(
−
3
)
,
5
)
(iii)
(
(
−
9
)
,
(
−
6
)
)
(iv)
(
9
,
2
)
Question
17
17.
Which of the displayed lines represent the equation
y
=
(
4
3
x
+
14
3
)
(i)
line with point
M
(ii)
line with point
Q
(iii)
line with point
P
(iv)
line with point
N
(v)
line with point
O
Question
18
18.
Which of the following is a point on the negative y-axis?
(i)
(
(
−
8
)
,
5
)
(ii)
(
0
,
4
)
(iii)
(
6
,
0
)
(iv)
(
0
,
(
−
6
)
)
(v)
(
(
−
1
)
,
0
)
Question
19
19.
Solve
(
6
x
+
42
)
=
0
(
−
x
−
11
y
+
4
)
=
0
(i)
(
(
−
9
)
,
(
−
1
)
)
(ii)
(
(
−
7
)
,
1
)
(iii)
(
(
−
6
)
,
0
)
(iv)
(
(
−
5
)
,
3
)
(v)
(
(
−
8
)
,
2
)
Question
20
20.
In a coordinate geometry plane, the horizontal reference line is called
(i)
y-axis
(ii)
abscissa
(iii)
origin
(iv)
x-axis
(v)
ordinate
Question
21
21.
The coordinates of a point which is 5 units away from x-axis and 7 units away from y-axis in the second quadrant is
(i)
(
(
−
7
)
,
5
)
(ii)
(
5
,
(
−
7
)
)
(iii)
(
(
−
7
)
,
(
−
5
)
)
(iv)
(
7
,
(
−
5
)
)
(v)
(
7
,
5
)
Question
22
22.
Distance of the point (4,4) from x-axis is
(i)
4
(ii)
8
(iii)
0
Question
23
23.
Solve
(
x
+
2
)
=
0
(
x
+
3
)
=
0
(i)
(
(
−
7
)
,
4
)
(ii)
(
7
,
(
−
4
)
)
(iii)
No solution
(iv)
(
(
−
9
)
,
2
)
(v)
Infinite solutions
Question
24
24.
Which of the displayed lines represent the equation
y
=
(
−
1
)
(i)
line with point
Q
(ii)
line with point
N
(iii)
line with point
R
(iv)
line with point
O
(v)
line with point
P
Question
25
25.
A point lies on positive side of x-axis at a distance of 3 units from y-axis. What are the coordinates of the point?
(i)
(
(
−
3
)
,
0
)
(ii)
(
3
,
0
)
(iii)
(
0
,
(
−
3
)
)
(iv)
(
0
,
3
)
Assignment Key
1) (v)
2) (i)
3) (ii)
4) (ii)
5) (ii)
6) (iii)
7) (iv)
8) (iv)
9) (iv)
10) (iii)
11) (i)
12) (v)
13) (iv)
14) (iii)
15) (ii)
16) (ii)
17) (i)
18) (iv)
19) (ii)
20) (iv)
21) (i)
22) (i)
23) (iii)
24) (ii)
25) (ii)
