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 displayed lines represent the equation
y
=
(
−
x
)
(i)
line with point
N
(ii)
line with point
R
(iii)
line with point
Q
(iv)
line with point
O
(v)
line with point
P
Question
2
2.
Any line parallel to y-axis is
(i)
an oblique line
(ii)
a horizontal line
(iii)
a curved line
(iv)
a vertical line
Question
3
3.
Find the set of points satisfying the equation
y
=
(
13
3
x
−
37
3
)
(i)
(
(
−
2
)
,
(
−
21
)
)
,
(
(
−
1
)
,
(
−
50
3
)
)
,
(
0
,
(
−
37
3
)
)
,
(
1
,
(
−
8
)
)
,
(
4
,
(
−
5
3
)
)
(ii)
(
(
−
2
)
,
(
−
21
)
)
,
(
(
−
1
)
,
(
−
50
3
)
)
,
(
(
−
2
)
,
(
−
43
3
)
)
,
(
1
,
(
−
8
)
)
,
(
2
,
(
−
11
3
)
)
(iii)
(
(
−
2
)
,
(
−
21
)
)
,
(
(
−
1
)
,
(
−
50
3
)
)
,
(
0
,
(
−
37
3
)
)
,
(
1
,
(
−
8
)
)
,
(
2
,
(
−
11
3
)
)
(iv)
(
(
−
2
)
,
(
−
21
)
)
,
(
(
−
1
)
,
(
−
50
3
)
)
,
(
1
,
(
−
40
3
)
)
,
(
1
,
(
−
8
)
)
,
(
2
,
(
−
11
3
)
)
(v)
(
(
−
2
)
,
(
−
21
)
)
,
(
(
−
1
)
,
(
−
50
3
)
)
,
(
0
,
(
−
37
3
)
)
,
(
0
,
(
−
7
)
)
,
(
2
,
(
−
11
3
)
)
Question
4
4.
The equation of the x-axis is
a)
y
=
1
b)
y
=
0
c)
x
=
0
d)
x
=
y
e)
x
=
1
(i)
{a,b}
(ii)
{d,e,b}
(iii)
{c,b}
(iv)
{b}
Question
5
5.
The linear equation
(
7
x
−
9
y
−
7
)
=
(
5
x
−
3
y
−
1
)
is equivalent to
(i)
(
7
x
−
9
y
−
7
)
=
(
5
x
−
y
−
1
)
(ii)
(
2
x
−
6
y
−
6
)
=
0
(iii)
(
3
x
−
6
y
−
6
)
=
0
(iv)
(
x
−
6
y
−
6
)
=
0
(v)
(
7
x
−
9
y
−
7
)
=
(
5
x
−
6
y
−
1
)
Question
6
6.
Which of the displayed lines represent the equation
y
=
(
x
−
3
)
(i)
line with point
X
(ii)
line with point
U
(iii)
line with point
T
(iv)
line with point
V
(v)
line with point
W
Question
7
7.
The equation of x-axis is
(i)
y
=
x
(ii)
y
=
0
(iii)
x
=
1
(iv)
x
=
0
(v)
y
=
1
Question
8
8.
Which of the following is a linear equation in two variable?
(i)
(
x
−
5
y
+
5
)
=
(
−
5
x
+
3
y
+
4
)
(ii)
(
−
x
+
3
)
=
(
−
4
x
+
5
)
(iii)
(
4
x
−
4
y
−
4
z
−
9
)
=
(
6
x
+
2
y
+
5
z
+
6
)
(iv)
(
−
36
x
2
+
81
x
−
45
)
=
(
−
4
x
+
3
)
(v)
(
−
24
x
2
+
14
x
y
+
45
x
−
2
y
2
−
13
y
−
21
)
=
0
Question
9
9.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
4
)
,
(
−
5
)
)
(i)
y
=
(
−
2
)
(ii)
x
=
(
−
1
)
(iii)
y
=
(
−
6
)
(iv)
x
=
(
−
4
)
(v)
y
=
(
−
5
)
Question
10
10.
Find the equation of the displayed line
(i)
x
=
1
(ii)
4
x
=
1
(iii)
x
=
0
(iv)
y
=
1
(v)
x
=
2
Question
11
11.
Which of the displayed lines represent the equation
y
=
1
(i)
line with point
P
(ii)
line with point
Q
(iii)
line with point
R
(iv)
line with point
S
(v)
line with point
O
Question
12
12.
Find the set of points satisfying the equation
x
=
(
−
2
3
y
−
6
)
(i)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
15
2
)
)
,
(
0
,
(
−
9
)
)
,
(
0
,
(
−
19
2
)
)
,
(
2
,
(
−
12
)
)
(ii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
15
2
)
)
,
(
1
,
(
−
10
)
)
,
(
1
,
(
−
21
2
)
)
,
(
2
,
(
−
12
)
)
(iii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
15
2
)
)
,
(
0
,
(
−
9
)
)
,
(
1
,
(
−
21
2
)
)
,
(
4
,
(
−
10
)
)
(iv)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
15
2
)
)
,
(
0
,
(
−
9
)
)
,
(
1
,
(
−
21
2
)
)
,
(
2
,
(
−
12
)
)
(v)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
15
2
)
)
,
(
(
−
2
)
,
(
−
11
)
)
,
(
1
,
(
−
21
2
)
)
,
(
2
,
(
−
12
)
)
Question
13
13.
The equation of the line passing through the points
(
(
−
1
)
,
2
)
and
(
(
−
5
)
,
(
−
2
)
)
is
(i)
(
3
x
−
6
)
=
0
(ii)
(
−
4
x
+
4
y
−
12
)
=
0
(iii)
(
−
4
x
−
7
y
−
34
)
=
0
(iv)
(
−
8
x
−
3
y
−
2
)
=
0
Question
14
14.
Find the set of points satisfying the equation
y
=
7
(i)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
1
,
7
)
,
(
2
,
7
)
(ii)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
1
,
7
)
,
(
4
,
9
)
(iii)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
1
,
6
)
,
(
1
,
7
)
,
(
2
,
7
)
(iv)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
0
,
8
)
,
(
2
,
7
)
(v)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
(
−
2
)
,
5
)
,
(
1
,
7
)
,
(
2
,
7
)
Question
15
15.
Which of the following is a linear equation in two variable?
(i)
(
7
x
−
6
y
+
8
z
+
6
)
=
0
(ii)
(
−
x
−
5
y
−
2
)
=
0
(iii)
(
−
4
x
2
−
21
x
y
+
20
x
−
27
y
2
+
45
y
)
=
0
(iv)
(
−
6
x
−
3
)
=
0
(v)
(
63
x
2
+
78
x
+
24
)
=
0
Question
16
16.
A line which is neither parallel to x-axis nor y-axis is
(i)
a horizontal line
(ii)
a curved line
(iii)
an oblique line
(iv)
a vertical line
Question
17
17.
Find the equation of the displayed line
(i)
x
=
3
(ii)
y
=
3
(iii)
y
=
2
(iv)
y
=
4
(v)
3
y
=
3
Question
18
18.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
x
=
0
(ii)
y
=
m
x
(iii)
x
=
m
y
+
c
(iv)
y
=
m
x
+
c
(v)
y
=
0
Question
19
19.
The value of
y
in terms of other variables and constant in
(
−
8
x
−
7
y
+
2
)
=
(
−
5
x
−
4
y
+
6
)
is
(i)
y
=
(
−
x
−
4
3
)
(ii)
y
=
(
−
x
−
2
)
(iii)
y
=
(
−
4
3
)
(iv)
y
=
(
−
2
x
−
4
3
)
(v)
y
=
(
−
x
−
2
3
)
Question
20
20.
The value of
x
in terms of other variables and constant in
(
−
5
x
−
6
y
−
6
)
=
(
9
x
−
9
y
−
8
)
is
(i)
x
=
(
3
14
y
+
1
7
)
(ii)
x
=
(
3
16
y
+
1
7
)
(iii)
x
=
(
3
14
y
−
1
7
)
(iv)
x
=
(
3
14
y
+
3
7
)
(v)
x
=
(
1
4
y
+
1
7
)
Question
21
21.
Which of the following lines do not pass through the origin?
(i)
(
−
5
x
+
5
y
)
=
0
(ii)
(
−
5
x
+
8
y
+
15
)
=
0
(iii)
(
x
+
5
y
)
=
0
(iv)
(
6
x
−
3
y
)
=
0
(v)
(
−
x
−
5
y
)
=
0
Question
22
22.
Which of the following lines pass through the origin?
(i)
(
6
x
+
2
y
−
14
)
=
0
(ii)
(
−
10
x
−
3
y
−
42
)
=
0
(iii)
(
x
−
2
y
)
=
0
(iv)
(
−
x
−
7
y
−
31
)
=
0
(v)
(
5
x
+
8
y
−
18
)
=
0
Question
23
23.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
a vertical line
(iii)
an oblique line
(iv)
a curved line
Question
24
24.
Find the equation of the line passing through the points
(
(
−
5
)
,
(
−
4
)
)
and
(
(
−
4
)
,
3
)
(i)
(
6
x
−
y
+
31
)
=
0
(ii)
(
−
7
x
+
y
−
24
)
=
0
(iii)
(
−
7
x
+
y
−
32
)
=
0
(iv)
(
7
x
−
y
+
31
)
=
0
(v)
(
8
x
−
y
+
31
)
=
0
Question
25
25.
Find the set of points satisfying the equation
(
9
x
+
2
y
−
1
)
=
0
(i)
(
(
−
2
)
,
19
2
)
,
(
(
−
1
)
,
5
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
17
2
)
)
(ii)
(
(
−
2
)
,
19
2
)
,
(
(
−
1
)
,
5
)
,
(
0
,
1
2
)
,
(
0
,
(
−
3
)
)
,
(
2
,
(
−
17
2
)
)
(iii)
(
(
−
2
)
,
19
2
)
,
(
(
−
1
)
,
5
)
,
(
0
,
1
2
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
17
2
)
)
(iv)
(
(
−
2
)
,
19
2
)
,
(
(
−
1
)
,
5
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
17
2
)
)
(v)
(
(
−
2
)
,
19
2
)
,
(
(
−
1
)
,
5
)
,
(
0
,
1
2
)
,
(
1
,
(
−
4
)
)
,
(
4
,
(
−
13
2
)
)
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (iv)
5) (ii)
6) (iii)
7) (ii)
8) (i)
9) (v)
10) (i)
11) (v)
12) (iv)
13) (ii)
14) (i)
15) (ii)
16) (iii)
17) (ii)
18) (ii)
19) (i)
20) (i)
21) (ii)
22) (iii)
23) (i)
24) (iv)
25) (iii)
