EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equation in Two variables
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Write the given equation
y
=
(
2
x
+
6
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
2
x
−
2
y
−
6
)
=
0
(ii)
(
−
3
x
+
y
−
6
)
=
0
(iii)
(
−
2
x
+
4
y
−
6
)
=
0
(iv)
(
−
x
+
y
−
6
)
=
0
(v)
(
−
2
x
+
y
−
6
)
=
0
Question
2
2.
The value of
x
in terms of other variables and constant in
(
3
x
+
7
y
+
6
)
=
(
−
2
x
−
6
y
−
5
)
is
(i)
x
=
(
−
3
y
−
11
5
)
(ii)
x
=
(
−
13
5
y
−
13
5
)
(iii)
x
=
(
−
13
5
y
−
9
5
)
(iv)
x
=
(
−
13
5
y
−
11
5
)
(v)
x
=
(
−
17
7
y
−
11
5
)
Question
3
3.
Which of the displayed lines represent the equation
y
=
7
(i)
line with point
V
(ii)
line with point
T
(iii)
line with point
R
(iv)
line with point
U
(v)
line with point
S
Question
4
4.
The equation of x-axis is
(i)
y
=
0
(ii)
x
=
1
(iii)
y
=
1
(iv)
y
=
x
(v)
x
=
0
Question
5
5.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
y
=
0
(ii)
x
=
0
(iii)
x
=
k
(iv)
y
=
k
(v)
x
=
y
Question
6
6.
Find the equation of the line passing through the points
(
(
−
3
)
,
2
)
and
(
3
,
(
−
7
)
)
(i)
(
−
9
x
−
6
y
−
15
)
=
0
(ii)
(
−
10
x
−
6
y
−
15
)
=
0
(iii)
(
3
x
+
2
y
+
3
)
=
0
(iv)
(
3
x
+
2
y
+
2
)
=
0
(v)
(
−
8
x
−
6
y
−
15
)
=
0
Question
7
7.
Which of the following lines do not pass through the origin?
(i)
(
−
8
x
+
6
y
)
=
0
(ii)
(
4
x
+
2
y
)
=
0
(iii)
(
−
7
x
−
2
y
)
=
0
(iv)
(
−
2
x
+
3
y
+
12
)
=
0
(v)
(
8
x
−
4
y
)
=
0
Question
8
8.
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
)
,
(
0
,
0
)
,
(
1
,
(
−
5
2
)
)
,
(
4
,
(
−
3
)
)
(iii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
5
2
)
)
,
(
2
,
(
−
5
)
)
(iv)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
0
)
,
(
0
,
(
−
3
2
)
)
,
(
2
,
(
−
5
)
)
(v)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
5
2
)
)
,
(
2
,
(
−
5
)
)
Question
9
9.
Find the equation of the displayed line
(i)
3
x
=
(
−
6
)
(ii)
x
=
(
−
7
)
(iii)
x
=
(
−
6
)
(iv)
y
=
(
−
6
)
(v)
x
=
(
−
5
)
Question
10
10.
Any line parallel to y-axis is
(i)
a vertical line
(ii)
a curved line
(iii)
a horizontal line
(iv)
an oblique line
Question
11
11.
Which of the displayed lines represent the equation
y
=
(
5
3
x
+
17
3
)
(i)
line with point
V
(ii)
line with point
U
(iii)
line with point
S
(iv)
line with point
T
(v)
line with point
W
Question
12
12.
Which of the displayed lines represent the equation
y
=
7
4
x
(i)
line with point
U
(ii)
line with point
V
(iii)
line with point
T
(iv)
line with point
S
(v)
line with point
R
Question
13
13.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
7
)
,
(
−
8
)
)
(i)
x
=
(
−
7
)
(ii)
y
=
(
−
6
)
(iii)
x
=
(
−
4
)
(iv)
y
=
(
−
8
)
(v)
y
=
(
−
9
)
Question
14
14.
Which of the following is a linear equation in two variable?
(i)
(
3
x
−
5
)
=
0
(ii)
(
−
4
x
−
5
y
−
8
)
=
0
(iii)
(
7
x
−
6
y
+
2
z
+
7
)
=
0
(iv)
(
3
x
2
+
23
x
y
+
9
x
−
36
y
2
+
19
y
+
6
)
=
0
(v)
(
−
14
x
2
−
51
x
−
40
)
=
0
Question
15
15.
Write the given equation
(
−
2
x
+
6
y
+
18
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
1
3
x
−
3
)
(ii)
y
=
(
1
5
x
−
3
)
(iii)
y
=
(
1
3
x
−
6
)
(iv)
y
=
(
1
3
x
−
1
)
(v)
y
=
(
x
−
3
)
Question
16
16.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
23
11
)
)
,
(
(
−
1
)
,
(
−
40
11
)
)
,
(
0
,
(
−
57
11
)
)
,
(
1
,
(
−
74
11
)
)
,
(
2
,
(
−
91
11
)
)
?
(i)
y
=
1
(ii)
y
=
(
−
17
11
x
−
57
11
)
(iii)
(
−
17
x
−
11
y
−
3
)
=
0
(iv)
x
=
(
17
11
y
−
61
11
)
(v)
x
=
(
−
4
)
Question
17
17.
A line which is neither parallel to x-axis nor y-axis is
(i)
a curved line
(ii)
a vertical line
(iii)
a horizontal line
(iv)
an oblique line
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
10
3
)
,
(
(
−
1
)
,
8
3
)
,
(
0
,
2
)
,
(
1
,
4
3
)
,
(
2
,
2
3
)
?
(i)
y
=
(
−
8
)
(ii)
x
=
(
2
3
y
−
2
3
)
(iii)
x
=
(
−
6
)
(iv)
y
=
(
−
2
3
x
−
12
)
(v)
(
−
8
x
−
12
y
+
24
)
=
0
Question
19
19.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
a curved line
(iii)
a vertical line
(iv)
an oblique line
Question
20
20.
Find the set of points satisfying the equation
x
=
(
9
11
y
−
4
11
)
(i)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
7
9
)
)
,
(
(
−
2
)
,
(
−
14
9
)
)
,
(
1
,
5
3
)
,
(
2
,
26
9
)
(ii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
7
9
)
)
,
(
1
,
(
−
5
9
)
)
,
(
1
,
5
3
)
,
(
2
,
26
9
)
(iii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
7
9
)
)
,
(
0
,
4
9
)
,
(
1
,
5
3
)
,
(
2
,
26
9
)
(iv)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
7
9
)
)
,
(
0
,
4
9
)
,
(
0
,
8
3
)
,
(
2
,
26
9
)
(v)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
7
9
)
)
,
(
0
,
4
9
)
,
(
1
,
5
3
)
,
(
4
,
44
9
)
Question
21
21.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
2
,
(
−
6
)
)
(i)
y
=
(
−
3
)
(ii)
x
=
2
(iii)
x
=
4
(iv)
x
=
1
(v)
y
=
(
−
6
)
Question
22
22.
Find the set of points satisfying the equation
(
5
x
+
6
y
−
3
)
=
0
(i)
(
(
−
2
)
,
13
6
)
,
(
(
−
1
)
,
4
3
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
7
6
)
)
(ii)
(
(
−
2
)
,
13
6
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
3
)
)
,
(
4
,
5
6
)
(iii)
(
(
−
2
)
,
13
6
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
1
2
)
,
(
0
,
2
3
)
,
(
2
,
(
−
7
6
)
)
(iv)
(
(
−
2
)
,
13
6
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
7
6
)
)
(v)
(
(
−
2
)
,
13
6
)
,
(
(
−
1
)
,
4
3
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
7
6
)
)
Question
23
23.
Find the equation of the displayed line
(i)
4
y
=
4
(ii)
x
=
4
(iii)
y
=
3
(iv)
y
=
5
(v)
y
=
4
Question
24
24.
The coordinates of the origin are
(i)
(
7
,
0
)
(ii)
(
1
,
0
)
(iii)
(
0
,
0
)
(iv)
(
0
,
7
)
(v)
(
1
,
1
)
Question
25
25.
The value of
y
in terms of other variables and constant in
(
−
2
x
−
2
y
+
8
)
=
(
6
x
−
y
−
7
)
is
(i)
y
=
(
−
8
x
+
17
)
(ii)
y
=
(
−
8
x
+
12
)
(iii)
y
=
(
−
7
x
+
15
)
(iv)
y
=
(
−
8
x
+
15
)
(v)
y
=
(
−
9
x
+
15
)
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (i)
5) (iv)
6) (i)
7) (iv)
8) (i)
9) (iii)
10) (i)
11) (iii)
12) (v)
13) (iv)
14) (ii)
15) (i)
16) (ii)
17) (iv)
18) (v)
19) (i)
20) (iii)
21) (ii)
22) (iv)
23) (v)
24) (iii)
25) (iv)
