EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in two Variables
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Find the set of points satisfying the equation
x
=
(
−
9
)
(i)
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
9
)
,
0
)
,
(
(
−
9
)
,
1
)
,
(
(
−
7
)
,
4
)
(ii)
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
9
)
,
1
)
,
(
(
−
9
)
,
2
)
(iii)
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
9
)
,
0
)
,
(
(
−
9
)
,
1
)
,
(
(
−
9
)
,
2
)
(iv)
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
9
)
,
0
)
,
(
(
−
10
)
,
2
)
,
(
(
−
9
)
,
2
)
(v)
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
9
)
,
(
−
1
)
)
,
(
(
−
11
)
,
(
−
2
)
)
,
(
(
−
9
)
,
1
)
,
(
(
−
9
)
,
2
)
Question
2
2.
Find the set of points satisfying the equation
y
=
(
−
4
)
(i)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
1
,
(
−
5
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
(ii)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
4
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
(iii)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
4
)
)
,
(
0
,
(
−
3
)
)
,
(
2
,
(
−
4
)
)
(iv)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
(v)
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
4
)
)
,
(
1
,
(
−
4
)
)
,
(
4
,
(
−
2
)
)
Question
3
3.
Which of the displayed lines represent the equation
y
=
(
3
5
x
−
19
5
)
(i)
line with point
S
(ii)
line with point
P
(iii)
line with point
Q
(iv)
line with point
T
(v)
line with point
R
Question
4
4.
Which of the displayed lines represent the equation
x
=
0
(i)
line with point
S
(ii)
line with point
R
(iii)
line with point
Q
(iv)
line with point
P
(v)
line with point
O
Question
5
5.
Which of the following lines pass through the origin?
(i)
(
2
x
−
2
y
)
=
0
(ii)
(
4
x
+
7
y
−
22
)
=
0
(iii)
(
−
7
x
−
2
y
−
23
)
=
0
(iv)
(
−
3
x
−
10
y
−
19
)
=
0
(v)
(
6
x
+
5
y
−
22
)
=
0
Question
6
6.
Which of the following lines do not pass through the origin?
(i)
(
−
6
x
−
4
y
)
=
0
(ii)
(
−
6
x
+
4
y
)
=
0
(iii)
(
−
6
x
+
11
y
+
42
)
=
0
(iv)
(
2
x
+
4
y
)
=
0
(v)
(
8
x
−
7
y
)
=
0
Question
7
7.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
3
,
5
)
(i)
x
=
2
(ii)
y
=
8
(iii)
y
=
5
(iv)
x
=
3
(v)
x
=
6
Question
8
8.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
x
=
k
(ii)
x
=
y
(iii)
x
=
0
(iv)
y
=
k
(v)
y
=
0
Question
9
9.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
2
,
0
)
(i)
y
=
(
−
1
)
(ii)
x
=
5
(iii)
y
=
3
(iv)
y
=
0
(v)
x
=
2
Question
10
10.
Find the set of points satisfying the equation
y
=
(
−
8
5
x
−
31
5
)
(i)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
23
5
)
)
,
(
1
,
(
−
36
5
)
)
,
(
1
,
(
−
39
5
)
)
,
(
2
,
(
−
47
5
)
)
(ii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
23
5
)
)
,
(
0
,
(
−
31
5
)
)
,
(
1
,
(
−
39
5
)
)
,
(
4
,
(
−
37
5
)
)
(iii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
23
5
)
)
,
(
0
,
(
−
31
5
)
)
,
(
1
,
(
−
39
5
)
)
,
(
2
,
(
−
47
5
)
)
(iv)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
23
5
)
)
,
(
0
,
(
−
31
5
)
)
,
(
0
,
(
−
34
5
)
)
,
(
2
,
(
−
47
5
)
)
(v)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
23
5
)
)
,
(
(
−
2
)
,
(
−
41
5
)
)
,
(
1
,
(
−
39
5
)
)
,
(
2
,
(
−
47
5
)
)
Question
11
11.
Which of the displayed lines represent the equation
(
3
x
−
4
y
+
2
)
=
0
?
(i)
line with point
T
(ii)
line with point
W
(iii)
line with point
V
(iv)
line with point
X
(v)
line with point
U
Question
12
12.
Which of the displayed lines represent the equation
y
=
(
−
7
)
(i)
line with point
T
(ii)
line with point
S
(iii)
line with point
V
(iv)
line with point
W
(v)
line with point
U
Question
13
13.
Which of the following equations satisfy the given points
(
(
−
2
)
,
9
)
,
(
(
−
1
)
,
9
)
,
(
0
,
9
)
,
(
1
,
9
)
,
(
2
,
9
)
?
(i)
y
=
9
(ii)
y
=
(
−
2
x
+
27
)
(iii)
x
=
9
(iv)
(
−
16
x
−
8
y
)
=
0
(v)
(
48
x
+
7
y
−
6
)
=
0
Question
14
14.
The equation of the x-axis is
a)
y
=
1
b)
x
=
1
c)
x
=
0
d)
x
=
y
e)
y
=
0
(i)
{e}
(ii)
{b,e}
(iii)
{c,d,e}
(iv)
{a,e}
Question
15
15.
Find the set of points satisfying the equation
(
−
7
x
−
3
y
+
30
)
=
0
(i)
(
(
−
2
)
,
44
3
)
,
(
(
−
1
)
,
37
3
)
,
(
0
,
10
)
,
(
0
,
26
3
)
,
(
2
,
16
3
)
(ii)
(
(
−
2
)
,
44
3
)
,
(
(
−
1
)
,
37
3
)
,
(
0
,
10
)
,
(
1
,
23
3
)
,
(
4
,
22
3
)
(iii)
(
(
−
2
)
,
44
3
)
,
(
(
−
1
)
,
37
3
)
,
(
1
,
9
)
,
(
1
,
23
3
)
,
(
2
,
16
3
)
(iv)
(
(
−
2
)
,
44
3
)
,
(
(
−
1
)
,
37
3
)
,
(
(
−
2
)
,
8
)
,
(
1
,
23
3
)
,
(
2
,
16
3
)
(v)
(
(
−
2
)
,
44
3
)
,
(
(
−
1
)
,
37
3
)
,
(
0
,
10
)
,
(
1
,
23
3
)
,
(
2
,
16
3
)
Question
16
16.
Write the given equation
y
=
(
5
9
x
−
20
9
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
5
7
x
+
y
+
20
9
)
=
0
(ii)
(
−
5
9
x
+
y
+
20
9
)
=
0
(iii)
(
−
5
9
x
−
2
y
+
20
9
)
=
0
(iv)
(
−
5
9
x
+
3
y
+
20
9
)
=
0
(v)
(
−
5
11
x
+
y
+
20
9
)
=
0
Question
17
17.
The equation of the line passing through the points
(
(
−
2
)
,
(
−
7
)
)
and
(
(
−
1
)
,
5
)
is
(i)
(
10
x
−
11
y
+
37
)
=
0
(ii)
(
12
x
−
y
+
17
)
=
0
(iii)
(
4
x
+
5
y
+
43
)
=
0
(iv)
(
−
8
x
+
6
y
−
38
)
=
0
Question
18
18.
Find the set of points satisfying the equation
x
=
(
1
4
y
+
23
4
)
(i)
(
(
−
2
)
,
(
−
31
)
)
,
(
(
−
1
)
,
(
−
27
)
)
,
(
0
,
(
−
23
)
)
,
(
1
,
(
−
19
)
)
,
(
2
,
(
−
15
)
)
(ii)
(
(
−
2
)
,
(
−
31
)
)
,
(
(
−
1
)
,
(
−
27
)
)
,
(
(
−
2
)
,
(
−
25
)
)
,
(
1
,
(
−
19
)
)
,
(
2
,
(
−
15
)
)
(iii)
(
(
−
2
)
,
(
−
31
)
)
,
(
(
−
1
)
,
(
−
27
)
)
,
(
0
,
(
−
23
)
)
,
(
1
,
(
−
19
)
)
,
(
4
,
(
−
13
)
)
(iv)
(
(
−
2
)
,
(
−
31
)
)
,
(
(
−
1
)
,
(
−
27
)
)
,
(
0
,
(
−
23
)
)
,
(
0
,
(
−
18
)
)
,
(
2
,
(
−
15
)
)
(v)
(
(
−
2
)
,
(
−
31
)
)
,
(
(
−
1
)
,
(
−
27
)
)
,
(
1
,
(
−
24
)
)
,
(
1
,
(
−
19
)
)
,
(
2
,
(
−
15
)
)
Question
19
19.
The linear equation
(
−
3
x
+
3
y
−
3
)
=
(
−
6
x
−
7
y
−
7
)
is equivalent to
(i)
(
−
3
x
+
3
y
−
3
)
=
(
−
6
x
−
10
y
−
7
)
(ii)
(
2
x
+
10
y
+
4
)
=
0
(iii)
(
4
x
+
10
y
+
4
)
=
0
(iv)
(
3
x
+
10
y
+
4
)
=
0
(v)
(
−
3
x
+
3
y
−
3
)
=
(
−
6
x
−
4
y
−
7
)
Question
20
20.
A line which is neither parallel to x-axis nor y-axis is
(i)
an oblique line
(ii)
a horizontal line
(iii)
a curved line
(iv)
a vertical line
Question
21
21.
Any line parallel to y-axis is
(i)
a horizontal line
(ii)
a curved line
(iii)
a vertical line
(iv)
an oblique line
Question
22
22.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
m
x
(ii)
y
=
m
x
+
c
(iii)
y
=
0
(iv)
x
=
0
(v)
x
=
m
y
+
c
Question
23
23.
Which of the following is a linear equation in two variable?
(i)
(
2
x
−
2
y
−
5
z
−
2
)
=
0
(ii)
(
56
x
2
−
37
x
+
6
)
=
0
(iii)
(
7
x
+
8
)
=
0
(iv)
(
63
x
2
−
130
x
y
−
110
x
+
63
y
2
+
114
y
+
48
)
=
0
(v)
(
−
5
x
−
3
y
+
5
)
=
0
Question
24
24.
Which of the displayed lines represent the equation
y
=
(
−
1
8
x
)
(i)
line with point
R
(ii)
line with point
S
(iii)
line with point
Q
(iv)
line with point
U
(v)
line with point
T
Question
25
25.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
0
(ii)
x
=
y
(iii)
y
=
0
(iv)
x
=
k
(v)
y
=
k
Assignment Key
1) (iii)
2) (ii)
3) (ii)
4) (v)
5) (i)
6) (iii)
7) (iv)
8) (i)
9) (iv)
10) (iii)
11) (i)
12) (ii)
13) (i)
14) (i)
15) (v)
16) (ii)
17) (ii)
18) (i)
19) (iv)
20) (i)
21) (iii)
22) (i)
23) (v)
24) (iii)
25) (v)
