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)
(
−
7
x
−
7
y
+
9
z
+
8
)
=
0
(ii)
(
15
x
2
−
15
x
y
+
11
x
−
30
y
2
−
7
y
+
2
)
=
0
(iii)
(
4
x
−
4
)
=
0
(iv)
(
−
2
x
+
9
y
−
8
)
=
0
(v)
(
32
x
2
+
24
x
+
4
)
=
0
Question
2
2.
Which of the following is a linear equation in two variable?
(i)
(
−
6
x
−
3
y
−
6
z
+
8
)
=
(
6
x
+
8
y
+
4
z
−
7
)
(ii)
(
4
x
+
4
y
+
3
)
=
(
3
x
+
7
y
+
2
)
(iii)
(
−
63
x
2
+
6
x
y
−
78
x
+
9
y
2
+
6
y
−
24
)
=
0
(iv)
(
−
8
x
2
−
4
x
+
24
)
=
x
(v)
7
x
=
(
6
x
+
4
)
Question
3
3.
The linear equation
(
5
x
+
y
−
5
)
=
(
8
x
+
4
y
−
7
)
is equivalent to
(i)
(
−
3
x
−
3
y
+
2
)
=
0
(ii)
(
5
x
+
y
−
5
)
=
(
8
x
+
7
y
−
7
)
(iii)
(
−
2
x
−
3
y
+
2
)
=
0
(iv)
(
−
4
x
−
3
y
+
2
)
=
0
(v)
(
5
x
+
y
−
5
)
=
(
8
x
+
2
y
−
7
)
Question
4
4.
The value of
x
in terms of other variables and constant in
(
−
5
x
+
y
+
1
)
=
(
5
x
−
6
y
+
1
)
is
(i)
x
=
9
10
y
(ii)
x
=
7
10
y
(iii)
x
=
1
2
y
(iv)
x
=
7
8
y
(v)
x
=
7
12
y
Question
5
5.
The value of
y
in terms of other variables and constant in
(
−
3
x
−
9
y
+
8
)
=
(
−
2
x
−
2
y
−
8
)
is
(i)
y
=
(
−
1
7
x
+
2
)
(ii)
y
=
(
−
1
7
x
+
18
7
)
(iii)
y
=
(
−
1
9
x
+
16
7
)
(iv)
y
=
(
−
1
5
x
+
16
7
)
(v)
y
=
(
−
1
7
x
+
16
7
)
Question
6
6.
Which of the following lines do not pass through the origin?
(i)
(
−
2
x
+
7
y
+
25
)
=
0
(ii)
(
4
x
−
3
y
)
=
0
(iii)
(
2
x
+
4
y
)
=
0
(iv)
(
−
7
x
−
5
y
)
=
0
(v)
(
−
5
x
+
5
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
(iii)
y
=
m
x
+
c
(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)
y
=
m
x
+
c
(ii)
x
=
m
y
+
c
(iii)
x
=
0
(iv)
y
=
0
(v)
y
=
m
x
Question
9
9.
The coordinates of the origin are
(i)
(
1
,
0
)
(ii)
(
7
,
0
)
(iii)
(
0
,
5
)
(iv)
(
1
,
1
)
(v)
(
0
,
0
)
Question
10
10.
The point of intersection of x-axis and y-axis
(i)
(
8
,
0
)
(ii)
(
0
,
0
)
(iii)
(
0
,
5
)
(iv)
(
1
,
1
)
(v)
(
1
,
0
)
Question
11
11.
Write the given equation
(
−
2
x
+
7
y
−
33
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
2
7
x
+
5
)
(ii)
y
=
(
2
7
x
+
31
7
)
(iii)
y
=
(
2
5
x
+
33
7
)
(iv)
y
=
(
2
7
x
+
33
7
)
(v)
y
=
(
2
9
x
+
33
7
)
Question
12
12.
Write the given equation
y
=
(
−
5
x
+
33
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
5
x
+
y
−
33
)
=
0
(ii)
(
6
x
+
y
−
33
)
=
0
(iii)
(
4
x
+
y
−
33
)
=
0
(iv)
(
5
x
+
3
y
−
33
)
=
0
(v)
(
5
x
−
2
y
−
33
)
=
0
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (ii)
5) (v)
6) (i)
7) (ii)
8) (i)
9) (v)
10) (ii)
11) (iv)
12) (i)
