EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in two Variables
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The points B
(
0
,
2
)
and D
(
(
−
7
)
,
1
)
are the opposite vertices
of a square ABCD. Find the equation of the diagonal AC
(i)
(
6
x
+
y
+
23
)
=
0
(ii)
(
−
x
+
7
y
−
14
)
=
0
(iii)
(
7
x
+
3
y
+
23
)
=
0
(iv)
(
7
x
+
y
+
23
)
=
0
(v)
(
−
x
+
4
y
−
14
)
=
0
Question
2
2.
A line which is neither parallel to x-axis nor y-axis is
(i)
a curved line
(ii)
a horizontal line
(iii)
a vertical line
(iv)
an oblique line
Question
3
3.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
7
)
,
2
)
(i)
y
=
1
(ii)
x
=
(
−
5
)
(iii)
x
=
(
−
7
)
(iv)
y
=
4
(v)
y
=
2
Question
4
4.
The equation of the x-axis is
a)
y
=
1
b)
y
=
0
c)
x
=
1
d)
x
=
y
e)
x
=
0
(i)
{b}
(ii)
{c,b}
(iii)
{a,b}
(iv)
{d,e,b}
Question
5
5.
Any line parallel to x-axis is
(i)
a vertical line
(ii)
an oblique line
(iii)
a curved line
(iv)
a horizontal line
Question
6
6.
Which of the following are true?
a)
Equation of the line passing through origin is y = mx +
3
b)
Equation of the line passing through origin is
y
=
m
x
+
c
c)
Equation of the line passing through origin is
y
=
m
x
d)
Equation of the line passing through origin is y = x
(i)
{a,b,c}
(ii)
{b,d}
(iii)
{a,d,c}
(iv)
{a,c}
(v)
{c,d}
Question
7
7.
Find the set of points satisfying the equation
x
=
1
(i)
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
0
)
,
(
1
,
1
)
,
(
3
,
4
)
(ii)
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
0
)
,
(
1
,
1
)
,
(
1
,
2
)
(iii)
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
,
(
1
,
1
)
,
(
1
,
2
)
(iv)
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
2
)
)
,
(
1
,
1
)
,
(
1
,
2
)
(v)
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
0
)
,
(
0
,
2
)
,
(
1
,
2
)
Question
8
8.
Find the set of points satisfying the equation
x
=
(
−
2
11
y
+
17
11
)
(i)
(
(
−
2
)
,
39
2
)
,
(
(
−
1
)
,
14
)
,
(
0
,
17
2
)
,
(
1
,
3
)
,
(
4
,
(
−
1
2
)
)
(ii)
(
(
−
2
)
,
39
2
)
,
(
(
−
1
)
,
14
)
,
(
0
,
17
2
)
,
(
0
,
4
)
,
(
2
,
(
−
5
2
)
)
(iii)
(
(
−
2
)
,
39
2
)
,
(
(
−
1
)
,
14
)
,
(
0
,
17
2
)
,
(
1
,
3
)
,
(
2
,
(
−
5
2
)
)
(iv)
(
(
−
2
)
,
39
2
)
,
(
(
−
1
)
,
14
)
,
(
1
,
15
2
)
,
(
1
,
3
)
,
(
2
,
(
−
5
2
)
)
(v)
(
(
−
2
)
,
39
2
)
,
(
(
−
1
)
,
14
)
,
(
(
−
2
)
,
13
2
)
,
(
1
,
3
)
,
(
2
,
(
−
5
2
)
)
Question
9
9.
Find the set of points satisfying the equation
y
=
(
5
3
x
+
14
)
(i)
(
(
−
2
)
,
32
3
)
,
(
(
−
1
)
,
37
3
)
,
(
1
,
13
)
,
(
1
,
47
3
)
,
(
2
,
52
3
)
(ii)
(
(
−
2
)
,
32
3
)
,
(
(
−
1
)
,
37
3
)
,
(
0
,
14
)
,
(
1
,
47
3
)
,
(
4
,
58
3
)
(iii)
(
(
−
2
)
,
32
3
)
,
(
(
−
1
)
,
37
3
)
,
(
(
−
2
)
,
12
)
,
(
1
,
47
3
)
,
(
2
,
52
3
)
(iv)
(
(
−
2
)
,
32
3
)
,
(
(
−
1
)
,
37
3
)
,
(
0
,
14
)
,
(
1
,
47
3
)
,
(
2
,
52
3
)
(v)
(
(
−
2
)
,
32
3
)
,
(
(
−
1
)
,
37
3
)
,
(
0
,
14
)
,
(
0
,
50
3
)
,
(
2
,
52
3
)
Question
10
10.
Write the given equation
y
=
(
1
8
x
+
61
8
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
1
8
x
+
y
−
61
8
)
=
0
(ii)
(
−
1
10
x
+
y
−
61
8
)
=
0
(iii)
(
−
1
8
x
+
4
y
−
61
8
)
=
0
(iv)
(
−
1
8
x
−
2
y
−
61
8
)
=
0
(v)
(
−
1
6
x
+
y
−
61
8
)
=
0
Question
11
11.
The equation of y-axis is
(i)
x
=
1
(ii)
y
=
0
(iii)
y
=
x
(iv)
y
=
1
(v)
x
=
0
Question
12
12.
Which of the displayed lines represent the equation
y
=
0
(i)
line with point
O
(ii)
line with point
M
(iii)
line with point
N
(iv)
line with point
P
(v)
line with point
Q
Question
13
13.
Which of the displayed lines represent the equation
(
5
x
−
4
y
+
26
)
=
0
?
(i)
line with point
U
(ii)
line with point
S
(iii)
line with point
R
(iv)
line with point
T
(v)
line with point
V
Question
14
14.
Which of the following is a linear equation in two variable?
(i)
(
−
28
x
2
−
11
x
−
1
)
=
(
−
2
x
+
5
)
(ii)
(
63
x
2
−
32
x
y
+
119
x
−
63
y
2
−
23
y
+
56
)
=
0
(iii)
(
8
x
+
8
)
=
(
−
8
x
−
7
)
(iv)
(
−
5
x
+
7
y
+
2
z
+
8
)
=
(
5
x
−
6
y
−
7
z
−
2
)
(v)
(
2
x
+
5
y
−
4
)
=
(
4
x
+
8
y
+
5
)
Question
15
15.
Find the set of points satisfying the equation
(
−
12
x
+
2
y
−
84
)
=
0
(i)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
36
)
,
(
(
−
2
)
,
40
)
,
(
1
,
48
)
,
(
2
,
54
)
(ii)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
36
)
,
(
0
,
42
)
,
(
0
,
49
)
,
(
2
,
54
)
(iii)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
36
)
,
(
1
,
41
)
,
(
1
,
48
)
,
(
2
,
54
)
(iv)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
36
)
,
(
0
,
42
)
,
(
1
,
48
)
,
(
2
,
54
)
(v)
(
(
−
2
)
,
30
)
,
(
(
−
1
)
,
36
)
,
(
0
,
42
)
,
(
1
,
48
)
,
(
4
,
56
)
Question
16
16.
Which of the following equations satisfy the given points
(
5
,
(
−
2
)
)
,
(
5
,
(
−
1
)
)
,
(
5
,
0
)
,
(
5
,
1
)
,
(
5
,
2
)
?
(i)
x
=
5
(ii)
y
=
6
(iii)
x
=
(
6
11
y
+
19
11
)
(iv)
(
−
6
x
−
11
y
+
20
)
=
0
(v)
(
35
x
+
24
y
−
20
)
=
0
Question
17
17.
The value of
y
in terms of other variables and constant in
(
−
x
+
8
y
−
7
)
=
(
−
9
x
−
y
+
5
)
is
(i)
y
=
(
−
8
9
x
+
2
)
(ii)
y
=
(
−
8
9
x
+
2
3
)
(iii)
y
=
(
−
8
7
x
+
4
3
)
(iv)
y
=
(
−
8
9
x
+
4
3
)
(v)
y
=
(
−
8
11
x
+
4
3
)
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
?
(i)
x
=
7
(ii)
y
=
(
−
7
)
(iii)
(
−
9
x
−
13
y
+
19
)
=
0
(iv)
y
=
(
−
9
13
x
−
28
13
)
(v)
x
=
(
9
13
y
+
154
13
)
Question
19
19.
The equation of x-axis is
(i)
x
=
0
(ii)
y
=
x
(iii)
y
=
1
(iv)
x
=
1
(v)
y
=
0
Question
20
20.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
m
x
(ii)
x
=
0
(iii)
y
=
0
(iv)
x
=
m
y
+
c
(v)
y
=
m
x
+
c
Question
21
21.
Find the equation of the displayed line
(i)
x
=
(
−
3
)
(ii)
y
=
(
−
2
)
(iii)
x
=
(
−
2
)
(iv)
x
=
(
−
1
)
(v)
3
x
=
(
−
2
)
Question
22
22.
Which of the displayed lines represent the equation
y
=
(
4
5
x
+
14
5
)
(i)
line with point
R
(ii)
line with point
O
(iii)
line with point
P
(iv)
line with point
N
(v)
line with point
Q
Question
23
23.
Which of the following is a linear equation in two variable?
(i)
(
7
x
+
2
y
+
8
z
)
=
0
(ii)
(
45
x
2
−
7
x
−
12
)
=
0
(iii)
(
8
x
−
8
)
=
0
(iv)
(
3
x
+
7
y
−
6
)
=
0
(v)
(
18
x
2
−
15
x
y
+
70
x
−
18
y
2
+
51
y
−
8
)
=
0
Question
24
24.
The equation of the line passing through the points
(
6
,
1
)
and
(
2
,
6
)
is
(i)
(
13
y
−
52
)
=
0
(ii)
(
3
x
−
y
−
17
)
=
0
(iii)
(
5
x
+
4
y
−
34
)
=
0
(iv)
(
−
2
x
−
5
y
+
34
)
=
0
Question
25
25.
Write the given equation
(
−
4
x
−
y
+
14
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
−
4
x
+
17
)
(ii)
y
=
(
−
4
x
+
14
)
(iii)
y
=
(
−
3
x
+
14
)
(iv)
y
=
(
−
5
x
+
14
)
(v)
y
=
(
−
4
x
+
11
)
Assignment Key
1) (iv)
2) (iv)
3) (v)
4) (i)
5) (iv)
6) (v)
7) (ii)
8) (iii)
9) (iv)
10) (i)
11) (v)
12) (ii)
13) (iii)
14) (v)
15) (iv)
16) (i)
17) (iv)
18) (ii)
19) (v)
20) (i)
21) (iii)
22) (iv)
23) (iv)
24) (iii)
25) (ii)
