EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equations in two Variables
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
an oblique line
(iii)
a curved line
(iv)
a vertical line
Question
2
2.
Find the set of points satisfying the equation
x
=
(
−
5
)
(i)
(
(
−
5
)
,
(
−
2
)
)
,
(
(
−
5
)
,
(
−
1
)
)
,
(
(
−
5
)
,
0
)
,
(
(
−
5
)
,
1
)
,
(
(
−
5
)
,
2
)
(ii)
(
(
−
5
)
,
(
−
2
)
)
,
(
(
−
5
)
,
(
−
1
)
)
,
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
5
)
,
1
)
,
(
(
−
5
)
,
2
)
(iii)
(
(
−
5
)
,
(
−
2
)
)
,
(
(
−
5
)
,
(
−
1
)
)
,
(
(
−
5
)
,
0
)
,
(
(
−
6
)
,
2
)
,
(
(
−
5
)
,
2
)
(iv)
(
(
−
5
)
,
(
−
2
)
)
,
(
(
−
5
)
,
(
−
1
)
)
,
(
(
−
5
)
,
0
)
,
(
(
−
5
)
,
1
)
,
(
(
−
3
)
,
4
)
(v)
(
(
−
5
)
,
(
−
2
)
)
,
(
(
−
5
)
,
(
−
1
)
)
,
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
5
)
,
1
)
,
(
(
−
5
)
,
2
)
Question
3
3.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
?
(i)
x
=
3
(ii)
x
=
(
11
10
y
+
17
2
)
(iii)
y
=
(
−
5
)
(iv)
y
=
(
−
11
10
x
−
17
10
)
(v)
(
4
x
+
9
y
−
2
)
=
0
Question
4
4.
Write the given equation
y
=
(
3
x
−
24
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
3
x
+
y
+
24
)
=
0
(ii)
(
−
2
x
+
y
+
24
)
=
0
(iii)
(
−
3
x
−
2
y
+
24
)
=
0
(iv)
(
−
4
x
+
y
+
24
)
=
0
(v)
(
−
3
x
+
4
y
+
24
)
=
0
Question
5
5.
Which of the following equations satisfy the given points
(
(
−
2
)
,
12
)
,
(
(
−
1
)
,
54
5
)
,
(
0
,
48
5
)
,
(
1
,
42
5
)
,
(
2
,
36
5
)
?
(i)
(
−
12
x
−
10
y
+
66
)
=
0
(ii)
x
=
3
(iii)
(
48
x
+
49
y
−
42
)
=
0
(iv)
y
=
(
−
6
5
x
+
48
5
)
(v)
y
=
6
Question
6
6.
Which of the following equations satisfy the given points
(
8
,
(
−
2
)
)
,
(
8
,
(
−
1
)
)
,
(
8
,
0
)
,
(
8
,
1
)
,
(
8
,
2
)
?
(i)
y
=
1
(ii)
(
3
x
+
3
y
−
1
)
=
0
(iii)
y
=
(
−
x
+
9
)
(iv)
x
=
8
(v)
x
=
(
y
+
7
)
Question
7
7.
The points B
(
(
−
1
)
,
5
)
and D
(
(
−
10
)
,
4
)
are the opposite vertices
of a square ABCD. Find the equation of the diagonal AC
(i)
(
−
x
+
9
y
−
46
)
=
0
(ii)
(
−
x
+
6
y
−
46
)
=
0
(iii)
(
9
x
+
y
+
45
)
=
0
(iv)
(
9
x
+
4
y
+
45
)
=
0
(v)
(
8
x
+
y
+
45
)
=
0
Question
8
8.
Find the set of points satisfying the equation
(
−
9
x
−
18
y
+
63
)
=
0
(i)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
4
)
,
(
(
−
2
)
,
3
2
)
,
(
1
,
3
)
,
(
2
,
5
2
)
(ii)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
4
)
,
(
0
,
7
2
)
,
(
1
,
3
)
,
(
2
,
5
2
)
(iii)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
4
)
,
(
0
,
7
2
)
,
(
0
,
4
)
,
(
2
,
5
2
)
(iv)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
4
)
,
(
0
,
7
2
)
,
(
1
,
3
)
,
(
4
,
9
2
)
(v)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
4
)
,
(
1
,
5
2
)
,
(
1
,
3
)
,
(
2
,
5
2
)
Question
9
9.
Which of the following lines do not pass through the origin?
(i)
(
−
7
x
+
7
y
)
=
0
(ii)
(
−
6
x
−
8
y
)
=
0
(iii)
(
7
x
−
8
y
)
=
0
(iv)
(
−
x
+
14
y
+
91
)
=
0
(v)
(
6
x
+
6
y
)
=
0
Question
10
10.
Which of the following is a linear equation in two variable?
(i)
(
3
x
+
2
)
=
(
−
7
x
−
2
)
(ii)
(
−
35
x
2
+
31
x
+
40
)
=
(
−
8
x
−
5
)
(iii)
(
9
x
−
8
y
+
3
)
=
(
8
x
−
5
y
+
4
)
(iv)
(
3
x
2
+
2
x
y
+
35
x
−
21
y
2
−
39
y
+
72
)
=
0
(v)
(
−
3
x
−
9
y
−
3
z
−
4
)
=
(
8
x
+
y
−
6
z
+
1
)
Question
11
11.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
y
=
0
(ii)
x
=
0
(iii)
y
=
k
(iv)
x
=
y
(v)
x
=
k
Question
12
12.
Which of the following equations satisfy the given points
(
(
−
2
)
,
20
3
)
,
(
(
−
1
)
,
13
3
)
,
(
0
,
2
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
8
3
)
)
?
(i)
x
=
(
7
3
y
−
7
)
(ii)
(
−
14
x
−
6
y
+
12
)
=
0
(iii)
y
=
3
(iv)
(
3
x
+
3
y
−
2
)
=
0
(v)
x
=
0
Question
13
13.
A line which is neither parallel to x-axis nor y-axis is
(i)
a horizontal line
(ii)
a vertical line
(iii)
a curved line
(iv)
an oblique line
Question
14
14.
Which of the following is a linear equation in two variable?
(i)
(
−
7
x
+
5
y
−
3
z
+
1
)
=
0
(ii)
(
6
x
+
6
)
=
0
(iii)
(
−
4
x
+
6
y
−
4
)
=
0
(iv)
(
54
x
2
+
117
x
y
+
12
x
+
54
y
2
+
18
y
)
=
0
(v)
(
−
7
x
2
+
65
x
−
72
)
=
0
Question
15
15.
The value of
y
in terms of other variables and constant in
(
4
x
+
6
y
−
8
)
=
(
−
2
x
−
y
−
6
)
is
(i)
y
=
(
−
6
7
x
+
4
7
)
(ii)
y
=
(
−
6
5
x
+
2
7
)
(iii)
y
=
(
−
6
7
x
)
(iv)
y
=
(
−
6
7
x
+
2
7
)
(v)
y
=
(
−
2
3
x
+
2
7
)
Question
16
16.
Find the set of points satisfying the equation
y
=
4
(i)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
1
,
4
)
,
(
2
,
4
)
(ii)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
1
,
3
)
,
(
1
,
4
)
,
(
2
,
4
)
(iii)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
0
,
5
)
,
(
2
,
4
)
(iv)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
(
−
2
)
,
2
)
,
(
1
,
4
)
,
(
2
,
4
)
(v)
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
1
,
4
)
,
(
4
,
6
)
Question
17
17.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
9
)
,
5
)
(i)
y
=
4
(ii)
y
=
7
(iii)
x
=
(
−
9
)
(iv)
y
=
5
(v)
x
=
(
−
7
)
Question
18
18.
Find the set of points satisfying the equation
y
=
(
−
1
4
x
−
5
4
)
(i)
(
(
−
2
)
,
(
−
3
4
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
5
4
)
)
,
(
1
,
(
−
3
2
)
)
,
(
4
,
1
4
)
(ii)
(
(
−
2
)
,
(
−
3
4
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
2
)
,
(
−
13
4
)
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
7
4
)
)
(iii)
(
(
−
2
)
,
(
−
3
4
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
(
−
9
4
)
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
7
4
)
)
(iv)
(
(
−
2
)
,
(
−
3
4
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
5
4
)
)
,
(
0
,
(
−
1
2
)
)
,
(
2
,
(
−
7
4
)
)
(v)
(
(
−
2
)
,
(
−
3
4
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
5
4
)
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
7
4
)
)
Question
19
19.
Find the equation of the line passing through the points
(
(
−
4
)
,
5
)
and
(
(
−
6
)
,
7
)
(i)
(
2
x
+
2
y
−
2
)
=
0
(ii)
(
3
x
+
2
y
−
2
)
=
0
(iii)
(
x
+
2
y
−
2
)
=
0
(iv)
(
2
x
+
2
y
−
4
)
=
0
Question
20
20.
The linear equation
(
6
x
+
6
y
−
4
)
=
(
9
x
−
8
y
+
3
)
is equivalent to
(i)
(
−
2
x
+
14
y
−
7
)
=
0
(ii)
(
6
x
+
6
y
−
4
)
=
(
9
x
−
11
y
+
3
)
(iii)
(
6
x
+
6
y
−
4
)
=
(
9
x
−
5
y
+
3
)
(iv)
(
−
4
x
+
14
y
−
7
)
=
0
(v)
(
−
3
x
+
14
y
−
7
)
=
0
Question
21
21.
Which of the displayed lines represent the equation
(
3
x
−
4
y
−
12
)
=
0
?
(i)
line with point
T
(ii)
line with point
S
(iii)
line with point
R
(iv)
line with point
V
(v)
line with point
U
Question
22
22.
Find the set of points satisfying the equation
(
15
x
+
16
y
−
6
)
=
0
(i)
(
(
−
2
)
,
9
4
)
,
(
(
−
1
)
,
21
16
)
,
(
0
,
3
8
)
,
(
1
,
(
−
9
16
)
)
,
(
4
,
1
2
)
(ii)
(
(
−
2
)
,
9
4
)
,
(
(
−
1
)
,
21
16
)
,
(
0
,
3
8
)
,
(
0
,
7
16
)
,
(
2
,
(
−
3
2
)
)
(iii)
(
(
−
2
)
,
9
4
)
,
(
(
−
1
)
,
21
16
)
,
(
0
,
3
8
)
,
(
1
,
(
−
9
16
)
)
,
(
2
,
(
−
3
2
)
)
(iv)
(
(
−
2
)
,
9
4
)
,
(
(
−
1
)
,
21
16
)
,
(
(
−
2
)
,
(
−
13
8
)
)
,
(
1
,
(
−
9
16
)
)
,
(
2
,
(
−
3
2
)
)
(v)
(
(
−
2
)
,
9
4
)
,
(
(
−
1
)
,
21
16
)
,
(
1
,
(
−
5
8
)
)
,
(
1
,
(
−
9
16
)
)
,
(
2
,
(
−
3
2
)
)
Question
23
23.
Which of the following are true?
a)
The ordinate of every point on x-axis is zero
b)
The abscissa of every point on y-axis is zero
c)
The ordinate of every point on y-axis is zero
d)
The abscissa of every point on x-axis is zero
(i)
{c,b,a}
(ii)
{c,a}
(iii)
{c,d,a}
(iv)
{d,b}
(v)
{a,b}
Question
24
24.
Find the equation of the displayed line
(i)
x
=
2
(ii)
x
=
1
(iii)
3
x
=
1
(iv)
y
=
1
(v)
x
=
0
Question
25
25.
Find the equation of the displayed line
(i)
y
=
6
(ii)
y
=
7
(iii)
y
=
5
(iv)
3
y
=
6
(v)
x
=
6
Assignment Key
1) (i)
2) (i)
3) (iii)
4) (i)
5) (iv)
6) (iv)
7) (iii)
8) (ii)
9) (iv)
10) (iii)
11) (v)
12) (ii)
13) (iv)
14) (iii)
15) (iv)
16) (i)
17) (iv)
18) (v)
19) (i)
20) (v)
21) (iii)
22) (iii)
23) (v)
24) (ii)
25) (i)
