EduSahara™ Assignment
Name : Linear Equations Miscellaneous
Chapter : Linear Equation in Two variables
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following is a linear equation in two variable?
(i)
(
21
x
2
+
23
x
−
20
)
=
0
(ii)
(
−
12
x
2
+
22
x
y
−
12
x
+
42
y
2
−
14
y
)
=
0
(iii)
(
6
x
+
3
y
+
9
)
=
0
(iv)
(
3
x
+
8
y
−
5
z
−
9
)
=
0
(v)
(
−
x
−
7
)
=
0
Question
2
2.
Which of the following is a linear equation in two variable?
(i)
(
2
x
+
2
y
−
4
z
+
2
)
=
(
−
2
x
−
y
+
8
z
+
9
)
(ii)
(
63
x
2
+
28
x
−
35
)
=
(
−
4
x
+
2
)
(iii)
(
−
4
x
−
3
)
=
(
x
−
8
)
(iv)
(
−
9
x
−
4
y
+
7
)
=
(
−
7
x
−
9
y
+
5
)
(v)
(
−
36
x
2
+
36
x
y
−
12
x
−
5
y
2
−
10
y
+
15
)
=
0
Question
3
3.
The linear equation
(
6
x
−
7
y
−
1
)
=
(
−
7
x
+
4
y
+
1
)
is equivalent to
(i)
(
6
x
−
7
y
−
1
)
=
(
−
7
x
+
6
y
+
1
)
(ii)
(
12
x
−
11
y
−
2
)
=
0
(iii)
(
14
x
−
11
y
−
2
)
=
0
(iv)
(
13
x
−
11
y
−
2
)
=
0
(v)
(
6
x
−
7
y
−
1
)
=
(
−
7
x
+
y
+
1
)
Question
4
4.
The value of
x
in terms of other variables and constant in
(
7
x
+
5
y
+
8
)
=
(
−
4
x
+
y
+
9
)
is
(i)
x
=
(
−
4
13
y
+
1
11
)
(ii)
x
=
(
−
4
11
y
+
1
11
)
(iii)
x
=
(
−
4
11
y
+
3
11
)
(iv)
x
=
(
−
4
9
y
+
1
11
)
(v)
x
=
(
−
4
11
y
−
1
11
)
Question
5
5.
The value of
y
in terms of other variables and constant in
(
9
x
+
7
y
−
8
)
=
(
x
−
7
y
−
5
)
is
(i)
y
=
(
−
4
7
x
+
1
14
)
(ii)
y
=
(
−
4
5
x
+
3
14
)
(iii)
y
=
(
−
4
7
x
+
3
14
)
(iv)
y
=
(
−
4
9
x
+
3
14
)
(v)
y
=
(
−
4
7
x
+
5
14
)
Question
6
6.
Which of the following lines do not pass through the origin?
(i)
(
8
x
−
8
y
)
=
0
(ii)
(
2
x
+
5
y
)
=
0
(iii)
(
−
6
x
+
13
y
+
30
)
=
0
(iv)
(
−
3
x
−
3
y
)
=
0
(v)
(
−
6
x
+
8
y
)
=
0
Question
7
7.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
x
=
0
(ii)
y
=
m
x
+
c
(iii)
y
=
m
x
(iv)
x
=
m
y
+
c
(v)
y
=
0
Question
8
8.
The equation of the line with slope
m
≠
0 and y-intercept
c
≠
0 is
(i)
x
=
0
(ii)
x
=
m
y
+
c
(iii)
y
=
m
x
+
c
(iv)
y
=
0
(v)
y
=
m
x
Question
9
9.
The coordinates of the origin are
(i)
(
1
,
1
)
(ii)
(
0
,
7
)
(iii)
(
1
,
0
)
(iv)
(
0
,
0
)
Question
10
10.
The point of intersection of x-axis and y-axis
(i)
(
0
,
0
)
(ii)
(
1
,
1
)
(iii)
(
1
,
0
)
(iv)
(
4
,
0
)
(v)
(
0
,
5
)
Question
11
11.
Write the given equation
(
−
5
x
+
11
y
−
57
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
5
13
x
+
57
11
)
(ii)
y
=
(
5
11
x
+
5
)
(iii)
y
=
(
5
11
x
+
57
11
)
(iv)
y
=
(
5
9
x
+
57
11
)
(v)
y
=
(
5
11
x
+
59
11
)
Question
12
12.
Write the given equation
y
=
(
−
2
5
x
+
4
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
2
5
x
+
y
−
4
)
=
0
(ii)
(
2
5
x
+
3
y
−
4
)
=
0
(iii)
(
2
7
x
+
y
−
4
)
=
0
(iv)
(
2
3
x
+
y
−
4
)
=
0
(v)
(
2
5
x
−
y
−
4
)
=
0
Assignment Key
1) (iii)
2) (iv)
3) (iv)
4) (ii)
5) (iii)
6) (iii)
7) (iii)
8) (iii)
9) (iv)
10) (i)
11) (iii)
12) (i)
