EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in two Variables
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
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
2
2.
Which of the displayed lines represent the equation
y
=
(
−
4
)
(i)
line with point
S
(ii)
line with point
T
(iii)
line with point
U
(iv)
line with point
W
(v)
line with point
V
Question
3
3.
Which of the following is a linear equation in two variable?
(i)
(
6
x
−
5
y
−
8
)
=
(
x
+
5
y
+
2
)
(ii)
(
6
x
+
4
)
=
(
−
4
x
)
(iii)
(
45
x
2
−
4
x
−
32
)
=
(
4
x
+
2
)
(iv)
(
6
x
+
8
y
+
9
z
+
1
)
=
(
x
+
9
y
+
z
+
6
)
(v)
(
−
12
x
2
+
70
x
y
+
8
x
−
72
y
2
−
55
y
+
7
)
=
0
Question
4
4.
Any line parallel to y-axis is
(i)
a horizontal line
(ii)
a vertical line
(iii)
an oblique line
(iv)
a curved line
Question
5
5.
Which of the following is a linear equation in two variable?
(i)
(
x
−
4
)
=
0
(ii)
(
5
x
+
5
y
+
4
z
+
4
)
=
0
(iii)
(
−
5
x
+
8
y
−
6
)
=
0
(iv)
(
−
56
x
2
+
11
x
+
15
)
=
0
(v)
(
−
16
x
2
+
52
x
y
+
38
x
−
12
y
2
+
18
y
+
30
)
=
0
Question
6
6.
Which of the displayed lines represent the equation
(
3
x
−
4
y
−
9
)
=
0
?
(i)
line with point
N
(ii)
line with point
R
(iii)
line with point
Q
(iv)
line with point
P
(v)
line with point
O
Question
7
7.
The equation of the line passing through the points
(
(
−
7
)
,
5
)
and
(
(
−
6
)
,
0
)
is
(i)
(
−
5
x
−
y
−
30
)
=
0
(ii)
(
−
4
x
−
13
y
+
37
)
=
0
(iii)
(
x
−
12
y
+
6
)
=
0
(iv)
(
x
+
12
y
−
18
)
=
0
Question
8
8.
Write the given equation
y
=
(
−
2
7
x
−
9
7
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
2
9
x
+
y
+
9
7
)
=
0
(ii)
(
2
7
x
−
y
+
9
7
)
=
0
(iii)
(
2
5
x
+
y
+
9
7
)
=
0
(iv)
(
2
7
x
+
y
+
9
7
)
=
0
(v)
(
2
7
x
+
3
y
+
9
7
)
=
0
Question
9
9.
Which of the displayed lines represent the equation
x
=
8
(i)
line with point
X
(ii)
line with point
W
(iii)
line with point
U
(iv)
line with point
T
(v)
line with point
V
Question
10
10.
Which of the following equations satisfy the given points
(
(
−
2
)
,
8
)
,
(
(
−
1
)
,
8
)
,
(
0
,
8
)
,
(
1
,
8
)
,
(
2
,
8
)
?
(i)
x
=
(
11
13
y
−
49
13
)
(ii)
y
=
(
−
11
13
x
+
137
13
)
(iii)
x
=
3
(iv)
y
=
8
(v)
(
−
11
x
−
13
y
−
38
)
=
0
Question
11
11.
The equation of y-axis is
(i)
y
=
1
(ii)
y
=
0
(iii)
y
=
x
(iv)
x
=
1
(v)
x
=
0
Question
12
12.
Which of the displayed lines represent the equation
y
=
(
x
+
3
)
(i)
line with point
T
(ii)
line with point
X
(iii)
line with point
W
(iv)
line with point
V
(v)
line with point
U
Question
13
13.
Which of the displayed lines represent the equation
y
=
(
−
3
5
x
)
(i)
line with point
P
(ii)
line with point
R
(iii)
line with point
Q
(iv)
line with point
O
(v)
line with point
N
Question
14
14.
Find the set of points satisfying the equation
y
=
(
−
1
)
(i)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
2
)
,
(
−
3
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
(ii)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
0
,
0
)
,
(
2
,
(
−
1
)
)
(iii)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
4
,
1
)
(iv)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
(v)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
Question
15
15.
Find the set of points satisfying the equation
(
−
12
x
+
9
y
+
24
)
=
0
(i)
(
(
−
2
)
,
(
−
16
3
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
8
3
)
)
,
(
0
,
(
−
1
3
)
)
,
(
2
,
0
)
(ii)
(
(
−
2
)
,
(
−
16
3
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
1
,
(
−
11
3
)
)
,
(
1
,
(
−
4
3
)
)
,
(
2
,
0
)
(iii)
(
(
−
2
)
,
(
−
16
3
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
8
3
)
)
,
(
1
,
(
−
4
3
)
)
,
(
4
,
2
)
(iv)
(
(
−
2
)
,
(
−
16
3
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
8
3
)
)
,
(
1
,
(
−
4
3
)
)
,
(
2
,
0
)
(v)
(
(
−
2
)
,
(
−
16
3
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
2
)
,
(
−
14
3
)
)
,
(
1
,
(
−
4
3
)
)
,
(
2
,
0
)
Question
16
16.
Which of the following are true?
a)
Equation of the line passing through origin is y = x
b)
Equation of the line passing through origin is y = mx +
6
c)
Equation of the line passing through origin is
y
=
m
x
+
c
d)
Equation of the line passing through origin is
y
=
m
x
(i)
{c,d}
(ii)
{b,c,a}
(iii)
{b,d,a}
(iv)
{a,d}
(v)
{b,a}
Question
17
17.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
2
)
,
2
)
(i)
x
=
0
(ii)
y
=
2
(iii)
x
=
(
−
2
)
(iv)
y
=
1
(v)
y
=
4
Question
18
18.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
0
(ii)
y
=
m
x
(iii)
y
=
m
x
+
c
(iv)
x
=
m
y
+
c
(v)
x
=
0
Question
19
19.
Which of the following equations satisfy the given points
(
(
−
2
)
,
2
7
)
,
(
(
−
1
)
,
(
−
1
2
)
)
,
(
0
,
(
−
9
7
)
)
,
(
1
,
(
−
29
14
)
)
,
(
2
,
(
−
20
7
)
)
?
(i)
y
=
(
−
6
)
(ii)
(
−
11
x
−
14
y
−
21
)
=
0
(iii)
y
=
(
−
11
14
x
−
9
7
)
(iv)
(
9
x
+
16
y
−
6
)
=
0
(v)
x
=
6
Question
20
20.
Which of the following equations satisfy the given points
(
(
−
3
)
,
(
−
2
)
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
3
)
,
0
)
,
(
(
−
3
)
,
1
)
,
(
(
−
3
)
,
2
)
?
(i)
(
−
9
x
−
15
y
+
27
)
=
0
(ii)
x
=
(
−
3
)
(iii)
x
=
(
3
5
y
−
33
5
)
(iv)
y
=
(
−
3
5
x
+
21
5
)
(v)
(
2
x
+
6
y
−
1
)
=
0
Question
21
21.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
(
−
4
)
,
(
−
4
)
)
(i)
x
=
(
−
4
)
(ii)
y
=
(
−
1
)
(iii)
y
=
(
−
4
)
(iv)
x
=
(
−
5
)
(v)
x
=
(
−
2
)
Question
22
22.
Any line parallel to x-axis is
(i)
an oblique line
(ii)
a vertical line
(iii)
a curved line
(iv)
a horizontal line
Question
23
23.
Write the given equation
(
−
2
x
+
12
y
−
74
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
1
4
x
+
37
6
)
(ii)
y
=
(
1
6
x
+
35
6
)
(iii)
y
=
(
1
8
x
+
37
6
)
(iv)
y
=
(
1
6
x
+
37
6
)
(v)
y
=
(
1
6
x
+
13
2
)
Question
24
24.
Find the equation of the displayed line
(i)
y
=
(
−
3
)
(ii)
x
=
(
−
2
)
(iii)
x
=
(
−
4
)
(iv)
x
=
(
−
3
)
(v)
3
x
=
(
−
3
)
Question
25
25.
Find the set of points satisfying the equation
y
=
(
−
10
x
)
(i)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
10
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
10
)
)
,
(
2
,
(
−
20
)
)
(ii)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
10
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
10
)
)
,
(
2
,
(
−
20
)
)
(iii)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
10
)
,
(
0
,
0
)
,
(
1
,
(
−
10
)
)
,
(
2
,
(
−
20
)
)
(iv)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
10
)
,
(
0
,
0
)
,
(
1
,
(
−
10
)
)
,
(
4
,
(
−
18
)
)
(v)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
10
)
,
(
0
,
0
)
,
(
0
,
(
−
9
)
)
,
(
2
,
(
−
20
)
)
Assignment Key
1) (iv)
2) (i)
3) (i)
4) (ii)
5) (iii)
6) (i)
7) (i)
8) (iv)
9) (iv)
10) (iv)
11) (v)
12) (i)
13) (v)
14) (v)
15) (iv)
16) (iv)
17) (ii)
18) (ii)
19) (iii)
20) (ii)
21) (i)
22) (iv)
23) (iv)
24) (iv)
25) (iii)
