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 y-axis and
passing through the point
(
(
−
6
)
,
4
)
(i)
x
=
(
−
7
)
(ii)
y
=
6
(iii)
y
=
4
(iv)
x
=
(
−
3
)
(v)
x
=
(
−
6
)
Question
2
2.
The equation of the line passing through the points
(
(
−
1
)
,
4
)
and
(
4
,
5
)
is
(i)
(
−
11
x
−
2
y
+
54
)
=
0
(ii)
(
−
10
x
−
7
y
+
18
)
=
0
(iii)
(
x
−
5
y
+
21
)
=
0
(iv)
(
x
+
8
y
+
42
)
=
0
Question
3
3.
Write the given equation
y
=
(
−
8
x
+
54
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
7
x
+
y
−
54
)
=
0
(ii)
(
8
x
+
4
y
−
54
)
=
0
(iii)
(
8
x
−
y
−
54
)
=
0
(iv)
(
9
x
+
y
−
54
)
=
0
(v)
(
8
x
+
y
−
54
)
=
0
Question
4
4.
Find the set of points satisfying the equation
x
=
(
−
4
)
(i)
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
0
)
,
(
(
−
4
)
,
1
)
,
(
(
−
2
)
,
4
)
(ii)
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
0
)
,
(
(
−
4
)
,
1
)
,
(
(
−
4
)
,
2
)
(iii)
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
6
)
,
(
−
2
)
)
,
(
(
−
4
)
,
1
)
,
(
(
−
4
)
,
2
)
(iv)
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
4
)
,
1
)
,
(
(
−
4
)
,
2
)
(v)
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
0
)
,
(
(
−
5
)
,
2
)
,
(
(
−
4
)
,
2
)
Question
5
5.
Which of the following lines do not pass through the origin?
(i)
(
−
x
+
3
y
+
15
)
=
0
(ii)
(
4
x
−
4
y
)
=
0
(iii)
(
2
x
+
2
y
)
=
0
(iv)
(
−
6
x
+
3
y
)
=
0
(v)
(
−
3
x
−
6
y
)
=
0
Question
6
6.
Find the equation of the displayed line
(i)
x
=
(
−
5
)
(ii)
x
=
(
−
3
)
(iii)
y
=
(
−
4
)
(iv)
3
x
=
(
−
4
)
(v)
x
=
(
−
4
)
Question
7
7.
Which of the following is a linear equation in two variable?
(i)
(
48
x
2
−
2
x
y
−
6
y
2
−
34
y
−
48
)
=
0
(ii)
(
30
x
2
−
10
x
)
=
0
(iii)
(
x
−
7
)
=
0
(iv)
(
−
x
−
3
y
−
z
+
8
)
=
0
(v)
(
−
9
x
+
4
y
−
5
)
=
0
Question
8
8.
Which of the displayed lines represent the equation
x
=
(
−
4
)
(i)
line with point
V
(ii)
line with point
W
(iii)
line with point
U
(iv)
line with point
X
(v)
line with point
T
Question
9
9.
Find the set of points satisfying the equation
(
−
11
x
−
9
y
−
23
)
=
0
(i)
(
(
−
2
)
,
(
−
1
9
)
)
,
(
(
−
1
)
,
(
−
4
3
)
)
,
(
(
−
2
)
,
(
−
41
9
)
)
,
(
1
,
(
−
34
9
)
)
,
(
2
,
(
−
5
)
)
(ii)
(
(
−
2
)
,
(
−
1
9
)
)
,
(
(
−
1
)
,
(
−
4
3
)
)
,
(
0
,
(
−
23
9
)
)
,
(
0
,
(
−
25
9
)
)
,
(
2
,
(
−
5
)
)
(iii)
(
(
−
2
)
,
(
−
1
9
)
)
,
(
(
−
1
)
,
(
−
4
3
)
)
,
(
1
,
(
−
32
9
)
)
,
(
1
,
(
−
34
9
)
)
,
(
2
,
(
−
5
)
)
(iv)
(
(
−
2
)
,
(
−
1
9
)
)
,
(
(
−
1
)
,
(
−
4
3
)
)
,
(
0
,
(
−
23
9
)
)
,
(
1
,
(
−
34
9
)
)
,
(
4
,
(
−
3
)
)
(v)
(
(
−
2
)
,
(
−
1
9
)
)
,
(
(
−
1
)
,
(
−
4
3
)
)
,
(
0
,
(
−
23
9
)
)
,
(
1
,
(
−
34
9
)
)
,
(
2
,
(
−
5
)
)
Question
10
10.
The value of
y
in terms of other variables and constant in
(
9
x
+
5
y
+
4
)
=
(
−
9
x
−
4
y
+
9
)
is
(i)
y
=
(
−
2
x
+
5
9
)
(ii)
y
=
(
−
x
+
5
9
)
(iii)
y
=
(
−
2
x
+
7
9
)
(iv)
y
=
(
−
3
x
+
5
9
)
(v)
y
=
(
−
2
x
+
1
3
)
Question
11
11.
Which of the following lines pass through the origin?
(i)
(
8
x
−
8
y
)
=
0
(ii)
(
−
3
x
+
14
y
−
88
)
=
0
(iii)
(
15
x
−
5
y
−
80
)
=
0
(iv)
(
−
4
x
−
4
y
−
16
)
=
0
(v)
(
−
8
x
−
5
y
−
23
)
=
0
Question
12
12.
Which of the displayed lines represent the equation
y
=
8
(i)
line with point
M
(ii)
line with point
N
(iii)
line with point
P
(iv)
line with point
Q
(v)
line with point
O
Question
13
13.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
y
=
k
(ii)
x
=
0
(iii)
x
=
y
(iv)
x
=
k
(v)
y
=
0
Question
14
14.
The equation of the x-axis is
a)
x
=
0
b)
y
=
0
c)
y
=
1
d)
x
=
1
e)
x
=
y
(i)
{c,b}
(ii)
{d,e,b}
(iii)
{b}
(iv)
{a,b}
Question
15
15.
Which of the displayed lines represent the equation
(
3
x
−
5
y
+
10
)
=
0
?
(i)
line with point
P
(ii)
line with point
R
(iii)
line with point
O
(iv)
line with point
Q
(v)
line with point
S
Question
16
16.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
9
,
1
)
(i)
y
=
0
(ii)
x
=
9
(iii)
y
=
1
(iv)
y
=
3
(v)
x
=
11
Question
17
17.
The linear equation
(
−
2
x
+
y
+
4
)
=
(
−
8
x
−
4
y
−
8
)
is equivalent to
(i)
(
−
2
x
+
y
+
4
)
=
(
−
8
x
−
2
y
−
8
)
(ii)
(
6
x
+
5
y
+
12
)
=
0
(iii)
(
7
x
+
5
y
+
12
)
=
0
(iv)
(
−
2
x
+
y
+
4
)
=
(
−
8
x
−
7
y
−
8
)
(v)
(
5
x
+
5
y
+
12
)
=
0
Question
18
18.
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 +
4
c)
Equation of the line passing through origin is
y
=
m
x
d)
Equation of the line passing through origin is
y
=
m
x
+
c
(i)
{b,a}
(ii)
{b,c,a}
(iii)
{b,d,a}
(iv)
{d,c}
(v)
{a,c}
Question
19
19.
The points B
(
0
,
7
)
and D
(
(
−
8
)
,
9
)
are the opposite vertices
of a square ABCD. Find the equation of the diagonal AC
(i)
(
7
x
−
2
y
+
48
)
=
0
(ii)
(
8
x
+
48
)
=
0
(iii)
(
2
x
+
5
y
−
56
)
=
0
(iv)
(
2
x
+
8
y
−
56
)
=
0
(v)
(
8
x
−
2
y
+
48
)
=
0
Question
20
20.
The equation of y-axis is
(i)
x
=
0
(ii)
y
=
0
(iii)
y
=
1
(iv)
x
=
1
(v)
y
=
x
Question
21
21.
Which of the following equations satisfy the given points
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
)
,
(
0
,
1
)
,
(
1
,
1
)
,
(
2
,
1
)
?
(i)
(
−
11
x
−
8
y
+
31
)
=
0
(ii)
y
=
1
(iii)
(
6
x
+
4
y
−
1
)
=
0
(iv)
x
=
4
(v)
y
=
(
−
11
8
x
+
13
2
)
Question
22
22.
Any line parallel to x-axis is
(i)
a curved line
(ii)
an oblique line
(iii)
a vertical line
(iv)
a horizontal line
Question
23
23.
Find the set of points satisfying the equation
(
15
x
+
8
y
−
5
)
=
0
(i)
(
(
−
2
)
,
35
8
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
5
8
)
,
(
0
,
(
−
1
4
)
)
,
(
2
,
(
−
25
8
)
)
(ii)
(
(
−
2
)
,
35
8
)
,
(
(
−
1
)
,
5
2
)
,
(
1
,
(
−
3
8
)
)
,
(
1
,
(
−
5
4
)
)
,
(
2
,
(
−
25
8
)
)
(iii)
(
(
−
2
)
,
35
8
)
,
(
(
−
1
)
,
5
2
)
,
(
(
−
2
)
,
(
−
11
8
)
)
,
(
1
,
(
−
5
4
)
)
,
(
2
,
(
−
25
8
)
)
(iv)
(
(
−
2
)
,
35
8
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
5
8
)
,
(
1
,
(
−
5
4
)
)
,
(
2
,
(
−
25
8
)
)
(v)
(
(
−
2
)
,
35
8
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
5
8
)
,
(
1
,
(
−
5
4
)
)
,
(
4
,
(
−
9
8
)
)
Question
24
24.
Any line parallel to y-axis is
(i)
a vertical line
(ii)
an oblique line
(iii)
a horizontal line
(iv)
a curved line
Question
25
25.
Which of the following equations satisfy the given points
(
(
−
2
)
,
6
5
)
,
(
(
−
1
)
,
2
5
)
,
(
0
,
(
−
2
5
)
)
,
(
1
,
(
−
6
5
)
)
,
(
2
,
(
−
2
)
)
?
(i)
y
=
(
−
4
5
x
−
2
5
)
(ii)
(
−
12
x
−
15
y
−
6
)
=
0
(iii)
y
=
(
−
2
)
(iv)
x
=
2
(v)
x
=
(
4
5
y
+
18
5
)
Assignment Key
1) (v)
2) (iii)
3) (v)
4) (ii)
5) (i)
6) (v)
7) (v)
8) (v)
9) (v)
10) (i)
11) (i)
12) (i)
13) (iv)
14) (iii)
15) (iii)
16) (iii)
17) (ii)
18) (v)
19) (v)
20) (i)
21) (ii)
22) (iv)
23) (iv)
24) (i)
25) (i)
