EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in two Variables
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following is a linear equation in two variable?
(i)
(
3
x
+
5
)
=
(
−
7
x
+
3
)
(ii)
(
9
x
−
8
y
−
9
z
−
9
)
=
(
7
x
+
y
+
8
z
−
7
)
(iii)
(
8
x
−
5
y
+
8
)
=
(
−
6
x
−
6
y
+
7
)
(iv)
(
24
x
2
−
38
x
+
8
)
=
(
7
x
+
6
)
(v)
(
−
35
x
2
−
28
x
y
+
23
x
+
63
y
2
+
61
y
+
6
)
=
0
Question
2
2.
The equation of the x-axis is
a)
x
=
y
b)
y
=
1
c)
x
=
0
d)
y
=
0
e)
x
=
1
(i)
{d}
(ii)
{b,d}
(iii)
{a,d}
(iv)
{c,e,d}
Question
3
3.
Which of the following are true?
a)
The abscissa of every point on y-axis is zero
b)
The ordinate of every point on y-axis is zero
c)
The abscissa of every point on x-axis is zero
d)
The ordinate of every point on x-axis is zero
(i)
{a,d}
(ii)
{b,d,a}
(iii)
{b,a}
(iv)
{b,c,a}
(v)
{c,d}
Question
4
4.
Find the equation of the displayed line
(i)
x
=
(
−
7
)
(ii)
y
=
(
−
7
)
(iii)
3
x
=
(
−
7
)
(iv)
x
=
(
−
8
)
(v)
x
=
(
−
6
)
Question
5
5.
Find the set of points satisfying the equation
x
=
(
−
1
4
y
−
33
4
)
(i)
(
(
−
2
)
,
(
−
25
)
)
,
(
(
−
1
)
,
(
−
29
)
)
,
(
1
,
(
−
34
)
)
,
(
1
,
(
−
37
)
)
,
(
2
,
(
−
41
)
)
(ii)
(
(
−
2
)
,
(
−
25
)
)
,
(
(
−
1
)
,
(
−
29
)
)
,
(
0
,
(
−
33
)
)
,
(
1
,
(
−
37
)
)
,
(
2
,
(
−
41
)
)
(iii)
(
(
−
2
)
,
(
−
25
)
)
,
(
(
−
1
)
,
(
−
29
)
)
,
(
0
,
(
−
33
)
)
,
(
1
,
(
−
37
)
)
,
(
4
,
(
−
39
)
)
(iv)
(
(
−
2
)
,
(
−
25
)
)
,
(
(
−
1
)
,
(
−
29
)
)
,
(
0
,
(
−
33
)
)
,
(
0
,
(
−
36
)
)
,
(
2
,
(
−
41
)
)
(v)
(
(
−
2
)
,
(
−
25
)
)
,
(
(
−
1
)
,
(
−
29
)
)
,
(
(
−
2
)
,
(
−
35
)
)
,
(
1
,
(
−
37
)
)
,
(
2
,
(
−
41
)
)
Question
6
6.
Which of the following lines pass through the origin?
(i)
(
−
5
x
−
9
y
−
52
)
=
0
(ii)
(
−
6
x
+
3
y
−
21
)
=
0
(iii)
(
8
x
−
8
y
)
=
0
(iv)
(
−
5
x
+
10
y
−
40
)
=
0
(v)
(
16
x
−
4
y
−
96
)
=
0
Question
7
7.
Find the set of points satisfying the equation
(
−
11
x
−
13
y
+
73
)
=
0
(i)
(
(
−
2
)
,
95
13
)
,
(
(
−
1
)
,
84
13
)
,
(
0
,
73
13
)
,
(
1
,
62
13
)
,
(
4
,
77
13
)
(ii)
(
(
−
2
)
,
95
13
)
,
(
(
−
1
)
,
84
13
)
,
(
0
,
73
13
)
,
(
1
,
62
13
)
,
(
2
,
51
13
)
(iii)
(
(
−
2
)
,
95
13
)
,
(
(
−
1
)
,
84
13
)
,
(
1
,
60
13
)
,
(
1
,
62
13
)
,
(
2
,
51
13
)
(iv)
(
(
−
2
)
,
95
13
)
,
(
(
−
1
)
,
84
13
)
,
(
0
,
73
13
)
,
(
0
,
75
13
)
,
(
2
,
51
13
)
(v)
(
(
−
2
)
,
95
13
)
,
(
(
−
1
)
,
84
13
)
,
(
(
−
2
)
,
47
13
)
,
(
1
,
62
13
)
,
(
2
,
51
13
)
Question
8
8.
Find the set of points satisfying the equation
(
7
x
+
15
y
−
6
)
=
0
(i)
(
(
−
2
)
,
4
3
)
,
(
(
−
1
)
,
13
15
)
,
(
(
−
2
)
,
(
−
8
5
)
)
,
(
1
,
(
−
1
15
)
)
,
(
2
,
(
−
8
15
)
)
(ii)
(
(
−
2
)
,
4
3
)
,
(
(
−
1
)
,
13
15
)
,
(
0
,
2
5
)
,
(
1
,
(
−
1
15
)
)
,
(
4
,
22
15
)
(iii)
(
(
−
2
)
,
4
3
)
,
(
(
−
1
)
,
13
15
)
,
(
0
,
2
5
)
,
(
1
,
(
−
1
15
)
)
,
(
2
,
(
−
8
15
)
)
(iv)
(
(
−
2
)
,
4
3
)
,
(
(
−
1
)
,
13
15
)
,
(
1
,
(
−
3
5
)
)
,
(
1
,
(
−
1
15
)
)
,
(
2
,
(
−
8
15
)
)
(v)
(
(
−
2
)
,
4
3
)
,
(
(
−
1
)
,
13
15
)
,
(
0
,
2
5
)
,
(
0
,
14
15
)
,
(
2
,
(
−
8
15
)
)
Question
9
9.
A line which is neither parallel to x-axis nor y-axis is
(i)
a curved line
(ii)
an oblique line
(iii)
a vertical line
(iv)
a horizontal line
Question
10
10.
Which of the displayed lines represent the equation
y
=
(
−
5
)
(i)
line with point
T
(ii)
line with point
X
(iii)
line with point
U
(iv)
line with point
V
(v)
line with point
W
Question
11
11.
Which of the displayed lines represent the equation
x
=
2
(i)
line with point
P
(ii)
line with point
Q
(iii)
line with point
N
(iv)
line with point
M
(v)
line with point
O
Question
12
12.
The equation of the line passing through the points
(
2
,
4
)
and
(
(
−
6
)
,
(
−
2
)
)
is
(i)
(
5
x
−
14
y
+
2
)
=
0
(ii)
(
−
6
x
+
8
y
−
20
)
=
0
(iii)
(
−
x
−
6
y
+
26
)
=
0
(iv)
(
−
3
x
+
11
y
−
9
)
=
0
Question
13
13.
Find the set of points satisfying the equation
y
=
4
(i)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
(
−
2
)
,
2
)
,
(
1
,
4
)
,
(
2
,
4
)
(ii)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
1
,
3
)
,
(
1
,
4
)
,
(
2
,
4
)
(iii)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
1
,
4
)
,
(
2
,
4
)
(iv)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
1
,
4
)
,
(
4
,
6
)
(v)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
0
,
5
)
,
(
2
,
4
)
Question
14
14.
The linear equation
(
8
x
−
y
+
8
)
=
(
9
x
+
9
y
−
5
)
is equivalent to
(i)
(
−
2
x
−
10
y
+
13
)
=
0
(ii)
(
−
10
y
+
13
)
=
0
(iii)
(
−
x
−
10
y
+
13
)
=
0
(iv)
(
8
x
−
y
+
8
)
=
(
9
x
+
7
y
−
5
)
(v)
(
8
x
−
y
+
8
)
=
(
9
x
+
11
y
−
5
)
Question
15
15.
Which of the following equations satisfy the given points
(
(
−
2
)
,
25
11
)
,
(
(
−
1
)
,
12
11
)
,
(
0
,
(
−
1
11
)
)
,
(
1
,
(
−
14
11
)
)
,
(
2
,
(
−
27
11
)
)
?
(i)
y
=
(
−
13
11
x
−
12
11
)
(ii)
x
=
5
(iii)
(
−
13
x
−
11
y
−
1
)
=
0
(iv)
y
=
(
−
7
)
(v)
x
=
(
13
11
y
+
146
11
)
Question
16
16.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
1
4
)
)
,
(
(
−
1
)
,
(
−
3
2
)
)
,
(
0
,
(
−
11
4
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
21
4
)
)
?
(i)
x
=
(
5
4
y
−
17
4
)
(ii)
x
=
(
−
3
)
(iii)
(
18
x
+
5
y
−
3
)
=
0
(iv)
y
=
(
−
5
4
x
−
11
4
)
(v)
(
−
10
x
−
8
y
−
22
)
=
0
Question
17
17.
Which of the displayed lines represent the equation
(
4
x
−
4
y
−
12
)
=
0
?
(i)
line with point
S
(ii)
line with point
Q
(iii)
line with point
R
(iv)
line with point
T
(v)
line with point
P
Question
18
18.
Any line parallel to x-axis is
(i)
an oblique line
(ii)
a horizontal line
(iii)
a vertical line
(iv)
a curved line
Question
19
19.
Find the set of points satisfying the equation
x
=
2
(i)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
3
,
(
−
1
)
)
,
(
2
,
1
)
,
(
2
,
2
)
(ii)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
2
,
0
)
,
(
2
,
1
)
,
(
2
,
2
)
(iii)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
0
,
(
−
2
)
)
,
(
2
,
1
)
,
(
2
,
2
)
(iv)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
2
,
0
)
,
(
2
,
1
)
,
(
4
,
4
)
(v)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
2
,
0
)
,
(
1
,
2
)
,
(
2
,
2
)
Question
20
20.
The value of
x
in terms of other variables and constant in
(
−
x
+
8
y
)
=
(
3
x
−
3
y
+
1
)
is
(i)
x
=
(
5
2
y
−
1
4
)
(ii)
x
=
(
11
4
y
−
1
4
)
(iii)
x
=
(
11
4
y
+
1
4
)
(iv)
x
=
(
7
2
y
−
1
4
)
(v)
x
=
(
11
4
y
−
3
4
)
Question
21
21.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
x
=
m
y
+
c
(ii)
y
=
0
(iii)
y
=
m
x
(iv)
x
=
0
(v)
y
=
m
x
+
c
Question
22
22.
Which of the displayed lines represent the equation
y
=
(
x
−
2
)
(i)
line with point
W
(ii)
line with point
U
(iii)
line with point
V
(iv)
line with point
T
(v)
line with point
X
Question
23
23.
Which of the displayed lines represent the equation
y
=
3
8
x
(i)
line with point
S
(ii)
line with point
U
(iii)
line with point
R
(iv)
line with point
Q
(v)
line with point
T
Question
24
24.
Find the equation of the displayed line
(i)
y
=
7
(ii)
x
=
8
(iii)
y
=
9
(iv)
3
y
=
8
(v)
y
=
8
Question
25
25.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
7
)
,
0
)
(i)
y
=
(
−
1
)
(ii)
x
=
(
−
7
)
(iii)
x
=
(
−
4
)
(iv)
y
=
2
(v)
y
=
0
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (i)
5) (ii)
6) (iii)
7) (ii)
8) (iii)
9) (ii)
10) (i)
11) (iv)
12) (ii)
13) (iii)
14) (iii)
15) (iii)
16) (iv)
17) (v)
18) (ii)
19) (ii)
20) (ii)
21) (iii)
22) (iv)
23) (iv)
24) (v)
25) (v)
