EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate System and Graphs
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
The point of intersection of x-axis and y-axis
(i)
(
1
,
0
)
(ii)
(
4
,
0
)
(iii)
(
0
,
5
)
(iv)
(
1
,
1
)
(v)
(
0
,
0
)
Question
2
2.
Which of the following is a point on the x-axis?
(i)
(
9
,
8
)
(ii)
(
0
,
3
)
(iii)
(
8
,
(
−
9
)
)
(iv)
(
2
,
0
)
(v)
(
(
−
7
)
,
6
)
Question
3
3.
The point
(
8
,
1
)
lies in
(i)
first quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
third quadrant
Question
4
4.
Which of the displayed lines represent the equation
y
=
4
(i)
line with point
U
(ii)
line with point
T
(iii)
line with point
R
(iv)
line with point
V
(v)
line with point
S
Question
5
5.
A point lies on negative side of y-axis at a distance of 5 units from x-axis. What are the coordinates of the point?
(i)
(
0
,
5
)
(ii)
(
0
,
(
−
5
)
)
(iii)
(
(
−
5
)
,
0
)
(iv)
(
5
,
0
)
Question
6
6.
Distance of the point (6,2) from y-axis is
(i)
4
(ii)
2
(iii)
(
−
4
)
(iv)
6
(v)
8
Question
7
7.
Distance of the given point from x-axis is
(i)
7
(ii)
21
(iii)
-4
(iv)
10
(v)
3
Question
8
8.
Which of the displayed lines represent the equation
y
=
(
3
4
x
−
1
4
)
(i)
line with point
U
(ii)
line with point
R
(iii)
line with point
T
(iv)
line with point
S
(v)
line with point
V
Question
9
9.
Identify the point belonging to the second quadrant
(i)
(
6
,
(
−
9
)
)
(ii)
(
(
−
9
)
,
2
)
(iii)
(
1
,
4
)
(iv)
(
(
−
6
)
,
(
−
4
)
)
Question
10
10.
Solve
(
x
−
6
)
=
0
(
x
+
3
)
=
0
(i)
(
(
−
7
)
,
(
−
2
)
)
(ii)
Infinite solutions
(iii)
(
(
−
9
)
,
(
−
4
)
)
(iv)
(
3
,
7
)
(v)
No solution
Question
11
11.
The x-coordinate of a point is also called as
(i)
x-axis
(ii)
origin
(iii)
y-axis
(iv)
ordinate
(v)
abscissa
Question
12
12.
Find the set of points satisfying the equation
(
−
16
x
−
16
y
)
=
0
(i)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
(ii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
0
,
0
)
,
(
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
,
0
)
Question
13
13.
Which of the following is a point on the negative x-axis?
(i)
(
(
−
7
)
,
1
)
(ii)
(
6
,
0
)
(iii)
(
(
−
2
)
,
0
)
(iv)
(
0
,
(
−
4
)
)
(v)
(
0
,
3
)
Question
14
14.
The coordinates of a point which is 2 units away from x-axis and 2 units away from y-axis in the third quadrant is
(i)
(
(
−
2
)
,
(
−
2
)
)
(ii)
(
2
,
2
)
(iii)
(
(
−
2
)
,
2
)
(iv)
(
2
,
(
−
2
)
)
Question
15
15.
Find the set of points satisfying the equation
y
=
(
−
6
)
(i)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
1
,
(
−
7
)
)
,
(
1
,
(
−
6
)
)
,
(
2
,
(
−
6
)
)
(ii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
(
−
6
)
)
,
(
1
,
(
−
6
)
)
,
(
4
,
(
−
4
)
)
(iii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
(
−
6
)
)
,
(
1
,
(
−
6
)
)
,
(
2
,
(
−
6
)
)
(iv)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
(
−
2
)
,
(
−
8
)
)
,
(
1
,
(
−
6
)
)
,
(
2
,
(
−
6
)
)
(v)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
(
−
6
)
)
,
(
0
,
(
−
5
)
)
,
(
2
,
(
−
6
)
)
Question
16
16.
The coordinates of a point which is 4 units away from x-axis and 1 unit away from y-axis in the first quadrant is
(i)
(
1
,
(
−
4
)
)
(ii)
(
(
−
1
)
,
4
)
(iii)
(
4
,
1
)
(iv)
(
1
,
4
)
(v)
(
(
−
1
)
,
(
−
4
)
)
Question
17
17.
Distance of the point (7,9) from x-axis is
(i)
2
(ii)
9
(iii)
(
−
2
)
(iv)
16
(v)
7
Question
18
18.
Identify the point belonging to the first quadrant
(i)
(
8
,
(
−
2
)
)
(ii)
(
1
,
4
)
(iii)
(
(
−
4
)
,
6
)
(iv)
(
(
−
5
)
,
(
−
6
)
)
Question
19
19.
Which of the points (7,8), (-2,7), (-1,-2) and (1,-8) belong to the second quadrant?
(i)
(
(
−
1
)
,
(
−
2
)
)
(ii)
(
1
,
(
−
8
)
)
(iii)
(
7
,
8
)
(iv)
(
(
−
2
)
,
7
)
Question
20
20.
Solve
(
10
x
−
9
y
+
15
)
=
0
(
−
12
x
−
3
y
+
51
)
=
0
(i)
(
4
,
4
)
(ii)
(
3
,
5
)
(iii)
(
1
,
3
)
(iv)
(
5
,
7
)
(v)
(
2
,
6
)
Question
21
21.
Which of the following are true?
a)
The abscissa of every point on x-axis is zero
b)
The abscissa of every point on y-axis is zero
c)
The ordinate of every point on y-axis is zero
d)
The ordinate of every point on x-axis is zero
(i)
{c,d}
(ii)
{a,b}
(iii)
{a,c,b}
(iv)
{a,d,b}
(v)
{b,d}
Question
22
22.
If point P(x,y) lies in the third quadrant, then
(i)
x is positive and y is positive
(ii)
x is negative and y is negative
(iii)
x is negative and y is positive
(iv)
x is positive and y is negative
Question
23
23.
Solve
(
10
x
−
7
y
+
35
)
=
0
(
3
y
−
15
)
=
0
(i)
(
2
,
7
)
(ii)
(
0
,
5
)
(iii)
(
4
,
7
)
(iv)
(
3
,
9
)
(v)
(
(
−
2
)
,
3
)
Question
24
24.
The point
(
(
−
3
)
,
5
)
lies in
(i)
second quadrant
(ii)
first quadrant
(iii)
fourth quadrant
(iv)
third quadrant
Question
25
25.
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
O
(v)
line with point
P
Assignment Key
1) (v)
2) (iv)
3) (i)
4) (iii)
5) (ii)
6) (iv)
7) (v)
8) (ii)
9) (ii)
10) (v)
11) (v)
12) (iv)
13) (iii)
14) (i)
15) (iii)
16) (iv)
17) (ii)
18) (ii)
19) (iv)
20) (ii)
21) (v)
22) (ii)
23) (ii)
24) (i)
25) (iv)
