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 equation of a straight line parallel to x-axis and
passing through the point
(
5
,
4
)
(i)
y
=
3
(ii)
x
=
5
(iii)
y
=
4
(iv)
x
=
8
(v)
y
=
7
Question
2
2.
Which of the displayed lines represent the equation
y
=
(
x
−
1
)
(i)
line with point
P
(ii)
line with point
Q
(iii)
line with point
N
(iv)
line with point
O
(v)
line with point
M
Question
3
3.
Find the set of points satisfying the equation
y
=
(
−
14
x
+
106
)
(i)
(
(
−
2
)
,
134
)
,
(
(
−
1
)
,
120
)
,
(
0
,
106
)
,
(
1
,
92
)
,
(
4
,
80
)
(ii)
(
(
−
2
)
,
134
)
,
(
(
−
1
)
,
120
)
,
(
1
,
105
)
,
(
1
,
92
)
,
(
2
,
78
)
(iii)
(
(
−
2
)
,
134
)
,
(
(
−
1
)
,
120
)
,
(
0
,
106
)
,
(
1
,
92
)
,
(
2
,
78
)
(iv)
(
(
−
2
)
,
134
)
,
(
(
−
1
)
,
120
)
,
(
(
−
2
)
,
104
)
,
(
1
,
92
)
,
(
2
,
78
)
(v)
(
(
−
2
)
,
134
)
,
(
(
−
1
)
,
120
)
,
(
0
,
106
)
,
(
0
,
93
)
,
(
2
,
78
)
Question
4
4.
Which of the following lines pass through the origin?
(i)
(
−
2
x
+
8
y
−
36
)
=
0
(ii)
(
2
x
−
9
y
−
56
)
=
0
(iii)
(
−
11
x
+
2
y
−
72
)
=
0
(iv)
(
11
x
−
y
−
17
)
=
0
(v)
(
5
x
−
2
y
)
=
0
Question
5
5.
Find the set of points satisfying the equation
x
=
(
5
9
y
−
52
9
)
(i)
(
(
−
2
)
,
34
5
)
,
(
(
−
1
)
,
43
5
)
,
(
0
,
52
5
)
,
(
0
,
66
5
)
,
(
2
,
14
)
(ii)
(
(
−
2
)
,
34
5
)
,
(
(
−
1
)
,
43
5
)
,
(
0
,
52
5
)
,
(
1
,
61
5
)
,
(
4
,
16
)
(iii)
(
(
−
2
)
,
34
5
)
,
(
(
−
1
)
,
43
5
)
,
(
1
,
47
5
)
,
(
1
,
61
5
)
,
(
2
,
14
)
(iv)
(
(
−
2
)
,
34
5
)
,
(
(
−
1
)
,
43
5
)
,
(
0
,
52
5
)
,
(
1
,
61
5
)
,
(
2
,
14
)
(v)
(
(
−
2
)
,
34
5
)
,
(
(
−
1
)
,
43
5
)
,
(
(
−
2
)
,
42
5
)
,
(
1
,
61
5
)
,
(
2
,
14
)
Question
6
6.
Which of the following is a linear equation in two variable?
(i)
(
−
9
x
+
2
y
+
9
z
−
3
)
=
(
7
x
+
7
y
+
2
z
−
7
)
(ii)
(
24
x
2
+
2
x
−
15
)
=
(
−
x
)
(iii)
(
−
7
x
+
8
y
+
8
)
=
(
−
5
x
+
9
y
+
1
)
(iv)
(
−
6
x
2
−
19
x
y
−
14
x
−
10
y
2
−
24
y
−
8
)
=
0
(v)
(
8
x
+
4
)
=
(
−
6
x
−
9
)
Question
7
7.
The value of
x
in terms of other variables and constant in
(
−
9
x
−
7
y
−
7
)
=
(
7
x
+
9
y
)
is
(i)
x
=
(
−
2
y
−
7
16
)
(ii)
x
=
(
−
7
16
)
(iii)
x
=
(
−
y
−
9
16
)
(iv)
x
=
(
−
y
−
7
16
)
(v)
x
=
(
−
y
−
5
16
)
Question
8
8.
Find the set of points satisfying the equation
x
=
(
−
7
)
(i)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
(ii)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
7
)
,
1
)
,
(
(
−
5
)
,
4
)
(iii)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
(iv)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
8
)
,
2
)
,
(
(
−
7
)
,
2
)
(v)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
6
)
,
(
−
1
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
Question
9
9.
Any line parallel to x-axis is
(i)
a vertical line
(ii)
a horizontal line
(iii)
a curved line
(iv)
an oblique line
Question
10
10.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
0
)
,
(
(
−
2
)
,
1
)
,
(
(
−
2
)
,
2
)
?
(i)
y
=
(
−
11
7
x
+
20
7
)
(ii)
x
=
(
−
2
)
(iii)
x
=
(
11
7
y
−
80
7
)
(iv)
y
=
6
(v)
(
−
11
x
−
7
y
−
30
)
=
0
Question
11
11.
Which of the following are true?
a)
Equation of the line passing through origin is
y
=
m
x
+
c
b)
Equation of the line passing through origin is y = mx +
5
c)
Equation of the line passing through origin is y = x
d)
Equation of the line passing through origin is
y
=
m
x
(i)
{a,b,c}
(ii)
{a,d,c}
(iii)
{c,d}
(iv)
{b,d}
(v)
{a,c}
Question
12
12.
Find the equation of the line passing through the points
(
(
−
8
)
,
5
)
and
(
1
,
7
)
(i)
(
−
2
x
+
9
y
−
70
)
=
0
(ii)
(
x
−
9
y
+
61
)
=
0
(iii)
(
−
2
x
+
9
y
−
59
)
=
0
(iv)
(
3
x
−
9
y
+
61
)
=
0
(v)
(
2
x
−
9
y
+
61
)
=
0
Question
13
13.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
x
=
y
(ii)
y
=
k
(iii)
x
=
k
(iv)
y
=
0
(v)
x
=
0
Question
14
14.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
1
,
5
)
,
(
2
,
5
)
?
(i)
x
=
(
12
17
y
−
111
17
)
(ii)
y
=
(
−
12
17
x
+
49
17
)
(iii)
x
=
(
−
3
)
(iv)
y
=
5
(v)
(
−
12
x
−
17
y
+
45
)
=
0
Question
15
15.
The equation of the line passing through the points
(
(
−
5
)
,
3
)
and
(
3
,
7
)
is
(i)
(
4
x
−
8
y
+
44
)
=
0
(ii)
(
−
4
y
−
32
)
=
0
(iii)
(
−
11
x
−
6
y
−
37
)
=
0
(iv)
(
−
15
x
+
2
y
+
31
)
=
0
Question
16
16.
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
=
m
y
+
c
(iv)
y
=
0
(v)
x
=
0
Question
17
17.
Which of the displayed lines represent the equation
y
=
(
−
8
)
(i)
line with point
T
(ii)
line with point
S
(iii)
line with point
R
(iv)
line with point
U
(v)
line with point
Q
Question
18
18.
Find the set of points satisfying the equation
y
=
(
−
1
)
(i)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
0
,
0
)
,
(
2
,
(
−
1
)
)
(ii)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
4
,
1
)
(iii)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
(v)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
2
)
,
(
−
3
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
Question
19
19.
The equation of the x-axis is
a)
y
=
1
b)
y
=
0
c)
x
=
1
d)
x
=
y
e)
x
=
0
(i)
{a,b}
(ii)
{b}
(iii)
{d,e,b}
(iv)
{c,b}
Question
20
20.
Which of the following lines do not pass through the origin?
(i)
(
7
x
+
4
y
)
=
0
(ii)
(
x
+
6
y
+
20
)
=
0
(iii)
(
−
3
x
+
2
y
)
=
0
(iv)
(
−
7
x
−
7
y
)
=
0
(v)
(
5
x
−
8
y
)
=
0
Question
21
21.
Which of the following equations satisfy the given points
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
2
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
4
)
)
?
(i)
(
−
11
x
−
11
y
−
22
)
=
0
(ii)
x
=
(
−
1
)
(iii)
x
=
y
(iv)
y
=
(
−
1
)
(v)
(
6
x
+
4
y
−
3
)
=
0
Question
22
22.
The equation of y-axis is
(i)
x
=
0
(ii)
y
=
x
(iii)
x
=
1
(iv)
y
=
0
(v)
y
=
1
Question
23
23.
Find the set of points satisfying the equation
(
−
7
x
−
y
+
16
)
=
0
(i)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
23
)
,
(
0
,
16
)
,
(
1
,
9
)
,
(
2
,
2
)
(ii)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
23
)
,
(
(
−
2
)
,
14
)
,
(
1
,
9
)
,
(
2
,
2
)
(iii)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
23
)
,
(
0
,
16
)
,
(
0
,
10
)
,
(
2
,
2
)
(iv)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
23
)
,
(
0
,
16
)
,
(
1
,
9
)
,
(
4
,
4
)
(v)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
23
)
,
(
1
,
15
)
,
(
1
,
9
)
,
(
2
,
2
)
Question
24
24.
The equation of x-axis is
(i)
y
=
0
(ii)
x
=
0
(iii)
y
=
x
(iv)
x
=
1
(v)
y
=
1
Question
25
25.
Which of the displayed lines represent the equation
(
3
x
−
5
y
+
8
)
=
0
?
(i)
line with point
T
(ii)
line with point
V
(iii)
line with point
U
(iv)
line with point
R
(v)
line with point
S
Assignment Key
1) (iii)
2) (v)
3) (iii)
4) (v)
5) (iv)
6) (iii)
7) (iv)
8) (i)
9) (ii)
10) (ii)
11) (iii)
12) (v)
13) (iii)
14) (iv)
15) (i)
16) (ii)
17) (v)
18) (iv)
19) (ii)
20) (ii)
21) (i)
22) (i)
23) (i)
24) (i)
25) (iv)
