EduSahara™ Worksheet
Name : Chapter Based Worksheet
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)
(
−
3
x
−
3
y
+
9
z
+
8
)
=
(
−
8
x
−
8
y
−
5
z
+
4
)
(ii)
(
−
3
x
−
4
y
−
5
)
=
(
2
x
+
5
y
+
9
)
(iii)
(
7
x
2
+
16
x
−
15
)
=
(
9
x
−
1
)
(iv)
(
−
24
x
2
+
47
x
y
−
20
x
+
21
y
2
−
40
y
+
16
)
=
0
(v)
6
x
=
(
5
x
−
9
)
Question
2
2.
Find the set of points satisfying the equation
(
4
x
+
9
y
−
2
)
=
0
(i)
(
(
−
2
)
,
10
9
)
,
(
(
−
1
)
,
2
3
)
,
(
0
,
2
9
)
,
(
0
,
7
9
)
,
(
2
,
(
−
2
3
)
)
(ii)
(
(
−
2
)
,
10
9
)
,
(
(
−
1
)
,
2
3
)
,
(
1
,
(
−
7
9
)
)
,
(
1
,
(
−
2
9
)
)
,
(
2
,
(
−
2
3
)
)
(iii)
(
(
−
2
)
,
10
9
)
,
(
(
−
1
)
,
2
3
)
,
(
0
,
2
9
)
,
(
1
,
(
−
2
9
)
)
,
(
4
,
4
3
)
(iv)
(
(
−
2
)
,
10
9
)
,
(
(
−
1
)
,
2
3
)
,
(
0
,
2
9
)
,
(
1
,
(
−
2
9
)
)
,
(
2
,
(
−
2
3
)
)
(v)
(
(
−
2
)
,
10
9
)
,
(
(
−
1
)
,
2
3
)
,
(
(
−
2
)
,
(
−
16
9
)
)
,
(
1
,
(
−
2
9
)
)
,
(
2
,
(
−
2
3
)
)
Question
3
3.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
4
,
(
−
2
)
)
(i)
y
=
1
(ii)
x
=
3
(iii)
x
=
4
(iv)
y
=
(
−
2
)
(v)
x
=
7
Question
4
4.
Which of the displayed lines represent the equation
x
=
2
(i)
line with point
S
(ii)
line with point
Q
(iii)
line with point
P
(iv)
line with point
R
(v)
line with point
O
Question
5
5.
Find the equation of the displayed line
(i)
4
y
=
(
−
5
)
(ii)
y
=
(
−
5
)
(iii)
y
=
(
−
6
)
(iv)
y
=
(
−
4
)
(v)
x
=
(
−
5
)
Question
6
6.
The equation of the line with slope
m
≠
0 and y-intercept
c
≠
0 is
(i)
y
=
0
(ii)
y
=
m
x
+
c
(iii)
x
=
0
(iv)
x
=
m
y
+
c
(v)
y
=
m
x
Question
7
7.
Which of the following lines do not pass through the origin?
(i)
(
−
3
x
+
7
y
)
=
0
(ii)
(
−
x
+
4
y
+
5
)
=
0
(iii)
(
8
x
−
8
y
)
=
0
(iv)
(
5
x
+
4
y
)
=
0
(v)
(
−
x
−
2
y
)
=
0
Question
8
8.
Which of the following equations satisfy the given points
(
(
−
2
)
,
25
2
)
,
(
(
−
1
)
,
20
3
)
,
(
0
,
5
6
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
65
6
)
)
?
(i)
(
−
6
x
−
7
y
−
23
)
=
0
(ii)
x
=
(
6
7
y
−
44
7
)
(iii)
y
=
(
−
2
)
(iv)
y
=
(
−
6
7
x
−
62
7
)
(v)
(
35
x
+
6
y
−
5
)
=
0
Question
9
9.
Find the set of points satisfying the equation
x
=
6
(i)
(
6
,
(
−
2
)
)
,
(
6
,
(
−
1
)
)
,
(
6
,
0
)
,
(
6
,
1
)
,
(
8
,
4
)
(ii)
(
6
,
(
−
2
)
)
,
(
6
,
(
−
1
)
)
,
(
6
,
0
)
,
(
5
,
2
)
,
(
6
,
2
)
(iii)
(
6
,
(
−
2
)
)
,
(
6
,
(
−
1
)
)
,
(
4
,
(
−
2
)
)
,
(
6
,
1
)
,
(
6
,
2
)
(iv)
(
6
,
(
−
2
)
)
,
(
6
,
(
−
1
)
)
,
(
7
,
(
−
1
)
)
,
(
6
,
1
)
,
(
6
,
2
)
(v)
(
6
,
(
−
2
)
)
,
(
6
,
(
−
1
)
)
,
(
6
,
0
)
,
(
6
,
1
)
,
(
6
,
2
)
Question
10
10.
The value of
y
in terms of other variables and constant in
(
4
x
−
3
y
+
2
)
=
(
−
3
x
+
5
y
−
1
)
is
(i)
y
=
(
7
8
x
+
3
8
)
(ii)
y
=
(
7
8
x
+
5
8
)
(iii)
y
=
(
7
10
x
+
3
8
)
(iv)
y
=
(
7
6
x
+
3
8
)
(v)
y
=
(
7
8
x
+
1
8
)
Question
11
11.
Find the set of points satisfying the equation
y
=
7
(i)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
0
,
8
)
,
(
2
,
7
)
(ii)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
(
−
2
)
,
5
)
,
(
1
,
7
)
,
(
2
,
7
)
(iii)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
1
,
7
)
,
(
2
,
7
)
(iv)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
1
,
6
)
,
(
1
,
7
)
,
(
2
,
7
)
(v)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
1
,
7
)
,
(
4
,
9
)
Question
12
12.
Which of the displayed lines represent the equation
(
5
x
−
4
y
−
11
)
=
0
?
(i)
line with point
S
(ii)
line with point
T
(iii)
line with point
Q
(iv)
line with point
U
(v)
line with point
R
Question
13
13.
Find the equation of the displayed line
(i)
y
=
(
−
8
)
(ii)
x
=
(
−
8
)
(iii)
3
x
=
(
−
8
)
(iv)
x
=
(
−
9
)
(v)
x
=
(
−
7
)
Question
14
14.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
7
)
,
0
)
(i)
y
=
(
−
1
)
(ii)
x
=
(
−
4
)
(iii)
y
=
2
(iv)
x
=
(
−
7
)
(v)
y
=
0
Question
15
15.
Any line parallel to y-axis is
(i)
a curved line
(ii)
an oblique line
(iii)
a horizontal line
(iv)
a vertical line
Question
16
16.
Which of the displayed lines represent the equation
y
=
(
−
8
)
(i)
line with point
S
(ii)
line with point
U
(iii)
line with point
T
(iv)
line with point
V
(v)
line with point
W
Question
17
17.
A line which is neither parallel to x-axis nor y-axis is
(i)
an oblique line
(ii)
a vertical line
(iii)
a horizontal line
(iv)
a curved line
Question
18
18.
The equation of x-axis is
(i)
x
=
0
(ii)
x
=
1
(iii)
y
=
1
(iv)
y
=
x
(v)
y
=
0
Question
19
19.
Find the set of points satisfying the equation
y
=
(
11
5
x
+
26
5
)
(i)
(
(
−
2
)
,
4
5
)
,
(
(
−
1
)
,
3
)
,
(
0
,
26
5
)
,
(
0
,
42
5
)
,
(
2
,
48
5
)
(ii)
(
(
−
2
)
,
4
5
)
,
(
(
−
1
)
,
3
)
,
(
1
,
21
5
)
,
(
1
,
37
5
)
,
(
2
,
48
5
)
(iii)
(
(
−
2
)
,
4
5
)
,
(
(
−
1
)
,
3
)
,
(
0
,
26
5
)
,
(
1
,
37
5
)
,
(
4
,
58
5
)
(iv)
(
(
−
2
)
,
4
5
)
,
(
(
−
1
)
,
3
)
,
(
(
−
2
)
,
16
5
)
,
(
1
,
37
5
)
,
(
2
,
48
5
)
(v)
(
(
−
2
)
,
4
5
)
,
(
(
−
1
)
,
3
)
,
(
0
,
26
5
)
,
(
1
,
37
5
)
,
(
2
,
48
5
)
Question
20
20.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
4
3
)
)
,
(
(
−
1
)
,
(
−
22
9
)
)
,
(
0
,
(
−
32
9
)
)
,
(
1
,
(
−
14
3
)
)
,
(
2
,
(
−
52
9
)
)
?
(i)
y
=
(
−
10
9
x
−
16
)
(ii)
(
−
10
x
−
9
y
−
32
)
=
0
(iii)
x
=
(
−
9
)
(iv)
(
27
x
+
64
y
−
24
)
=
0
(v)
x
=
(
10
9
y
−
7
3
)
Question
21
21.
The equation of the x-axis is
a)
x
=
y
b)
y
=
1
c)
x
=
1
d)
y
=
0
e)
x
=
0
(i)
{d}
(ii)
{b,d}
(iii)
{a,d}
(iv)
{c,e,d}
Question
22
22.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
m
x
+
c
(ii)
y
=
m
x
(iii)
x
=
0
(iv)
y
=
0
(v)
x
=
m
y
+
c
Question
23
23.
Find the set of points satisfying the equation
x
=
(
13
6
y
−
14
3
)
(i)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
22
13
)
,
(
0
,
28
13
)
,
(
1
,
34
13
)
,
(
4
,
66
13
)
(ii)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
22
13
)
,
(
0
,
28
13
)
,
(
0
,
47
13
)
,
(
2
,
40
13
)
(iii)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
22
13
)
,
(
0
,
28
13
)
,
(
1
,
34
13
)
,
(
2
,
40
13
)
(iv)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
22
13
)
,
(
(
−
2
)
,
2
13
)
,
(
1
,
34
13
)
,
(
2
,
40
13
)
(v)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
22
13
)
,
(
1
,
15
13
)
,
(
1
,
34
13
)
,
(
2
,
40
13
)
Question
24
24.
The coordinates of the origin are
(i)
(
0
,
0
)
(ii)
(
3
,
0
)
(iii)
(
1
,
1
)
(iv)
(
0
,
2
)
(v)
(
1
,
0
)
Question
25
25.
Write the given equation
y
=
(
2
7
x
−
2
7
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
2
7
x
+
4
y
+
2
7
)
=
0
(ii)
(
−
2
7
x
+
y
+
2
7
)
=
0
(iii)
(
−
2
7
x
−
y
+
2
7
)
=
0
(iv)
(
−
2
5
x
+
y
+
2
7
)
=
0
(v)
(
−
2
9
x
+
y
+
2
7
)
=
0
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (v)
5) (ii)
6) (ii)
7) (ii)
8) (v)
9) (v)
10) (i)
11) (iii)
12) (iii)
13) (ii)
14) (v)
15) (iv)
16) (i)
17) (i)
18) (v)
19) (v)
20) (ii)
21) (i)
22) (ii)
23) (iii)
24) (i)
25) (ii)
