EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equation in Two variables
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Find the equation of the line passing through the points
(
(
−
1
)
,
6
)
and
(
(
−
5
)
,
7
)
(i)
(
4
y
−
23
)
=
0
(ii)
(
2
x
+
4
y
−
23
)
=
0
(iii)
(
x
+
4
y
−
23
)
=
0
(iv)
(
x
+
4
y
−
24
)
=
0
(v)
(
x
+
4
y
−
27
)
=
0
Question
2
2.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
35
11
)
)
,
(
(
−
1
)
,
(
−
51
11
)
)
,
(
0
,
(
−
67
11
)
)
,
(
1
,
(
−
83
11
)
)
,
(
2
,
(
−
9
)
)
?
(i)
x
=
7
(ii)
y
=
(
−
16
11
x
+
178
11
)
(iii)
y
=
6
(iv)
x
=
(
16
11
y
−
19
11
)
(v)
(
−
16
x
−
11
y
−
67
)
=
0
Question
3
3.
Find the set of points satisfying the equation
y
=
(
−
14
x
−
63
)
(i)
(
(
−
2
)
,
(
−
35
)
)
,
(
(
−
1
)
,
(
−
49
)
)
,
(
0
,
(
−
63
)
)
,
(
0
,
(
−
76
)
)
,
(
2
,
(
−
91
)
)
(ii)
(
(
−
2
)
,
(
−
35
)
)
,
(
(
−
1
)
,
(
−
49
)
)
,
(
1
,
(
−
64
)
)
,
(
1
,
(
−
77
)
)
,
(
2
,
(
−
91
)
)
(iii)
(
(
−
2
)
,
(
−
35
)
)
,
(
(
−
1
)
,
(
−
49
)
)
,
(
0
,
(
−
63
)
)
,
(
1
,
(
−
77
)
)
,
(
4
,
(
−
89
)
)
(iv)
(
(
−
2
)
,
(
−
35
)
)
,
(
(
−
1
)
,
(
−
49
)
)
,
(
0
,
(
−
63
)
)
,
(
1
,
(
−
77
)
)
,
(
2
,
(
−
91
)
)
(v)
(
(
−
2
)
,
(
−
35
)
)
,
(
(
−
1
)
,
(
−
49
)
)
,
(
(
−
2
)
,
(
−
65
)
)
,
(
1
,
(
−
77
)
)
,
(
2
,
(
−
91
)
)
Question
4
4.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
0
(ii)
x
=
0
(iii)
y
=
m
x
(iv)
y
=
m
x
+
c
(v)
x
=
m
y
+
c
Question
5
5.
Find the set of points satisfying the equation
x
=
(
5
4
y
+
17
4
)
(i)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
21
5
)
)
,
(
0
,
(
−
17
5
)
)
,
(
1
,
(
−
13
5
)
)
,
(
2
,
(
−
9
5
)
)
(ii)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
21
5
)
)
,
(
0
,
(
−
17
5
)
)
,
(
0
,
(
−
8
5
)
)
,
(
2
,
(
−
9
5
)
)
(iii)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
21
5
)
)
,
(
(
−
2
)
,
(
−
27
5
)
)
,
(
1
,
(
−
13
5
)
)
,
(
2
,
(
−
9
5
)
)
(iv)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
21
5
)
)
,
(
1
,
(
−
22
5
)
)
,
(
1
,
(
−
13
5
)
)
,
(
2
,
(
−
9
5
)
)
(v)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
21
5
)
)
,
(
0
,
(
−
17
5
)
)
,
(
1
,
(
−
13
5
)
)
,
(
4
,
1
5
)
Question
6
6.
A line which is neither parallel to x-axis nor y-axis is
(i)
a horizontal line
(ii)
an oblique line
(iii)
a curved line
(iv)
a vertical line
Question
7
7.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
7
)
,
2
)
(i)
x
=
(
−
7
)
(ii)
y
=
1
(iii)
y
=
2
(iv)
y
=
4
(v)
x
=
(
−
4
)
Question
8
8.
Find the set of points satisfying the equation
y
=
5
x
(i)
(
(
−
2
)
,
(
−
10
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
5
)
,
(
2
,
10
)
(ii)
(
(
−
2
)
,
(
−
10
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
0
)
,
(
0
,
6
)
,
(
2
,
10
)
(iii)
(
(
−
2
)
,
(
−
10
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
0
)
,
(
1
,
5
)
,
(
2
,
10
)
(iv)
(
(
−
2
)
,
(
−
10
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
0
)
,
(
1
,
5
)
,
(
4
,
12
)
(v)
(
(
−
2
)
,
(
−
10
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
5
)
,
(
2
,
10
)
Question
9
9.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
6
,
7
)
(i)
y
=
9
(ii)
x
=
6
(iii)
x
=
8
(iv)
x
=
5
(v)
y
=
7
Question
10
10.
Which of the following lines do not pass through the origin?
(i)
(
3
x
+
8
y
)
=
0
(ii)
(
x
+
14
y
+
45
)
=
0
(iii)
(
2
x
−
6
y
)
=
0
(iv)
(
−
3
x
+
3
y
)
=
0
(v)
(
−
2
x
−
4
y
)
=
0
Question
11
11.
Which of the displayed lines represent the equation
x
=
(
−
9
)
(i)
line with point
P
(ii)
line with point
R
(iii)
line with point
S
(iv)
line with point
Q
(v)
line with point
O
Question
12
12.
Which of the displayed lines represent the equation
y
=
(
x
−
2
)
(i)
line with point
R
(ii)
line with point
S
(iii)
line with point
Q
(iv)
line with point
P
(v)
line with point
O
Question
13
13.
The value of
x
in terms of other variables and constant in
(
−
3
x
+
9
y
+
9
)
=
(
3
x
+
7
y
+
7
)
is
(i)
x
=
(
1
5
y
+
1
3
)
(ii)
x
=
(
1
3
y
+
1
3
)
(iii)
x
=
(
1
3
y
+
1
)
(iv)
x
=
(
1
3
y
−
1
3
)
(v)
x
=
(
y
+
1
3
)
Question
14
14.
Which of the displayed lines represent the equation
y
=
7
8
x
(i)
line with point
P
(ii)
line with point
O
(iii)
line with point
R
(iv)
line with point
S
(v)
line with point
Q
Question
15
15.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
4
)
,
(
(
−
1
)
,
3
4
)
,
(
0
,
1
4
)
,
(
1
,
(
−
1
4
)
)
,
(
2
,
(
−
3
4
)
)
?
(i)
x
=
(
−
2
)
(ii)
y
=
(
−
13
4
x
+
1
2
)
(iii)
y
=
7
(iv)
x
=
(
13
4
y
−
99
4
)
(v)
(
2
x
+
4
y
−
1
)
=
0
Question
16
16.
The equation of y-axis is
(i)
x
=
1
(ii)
y
=
1
(iii)
y
=
0
(iv)
y
=
x
(v)
x
=
0
Question
17
17.
Any line parallel to x-axis is
(i)
an oblique line
(ii)
a horizontal line
(iii)
a vertical line
(iv)
a curved line
Question
18
18.
Which of the following are true?
a)
Equation of the line passing through origin is
y
=
m
x
b)
Equation of the line passing through origin is y = x
c)
Equation of the line passing through origin is y = mx +
6
d)
Equation of the line passing through origin is
y
=
m
x
+
c
(i)
{a,b}
(ii)
{c,a}
(iii)
{c,d,a}
(iv)
{c,b,a}
(v)
{d,b}
Question
19
19.
Write the given equation
(
14
x
+
2
y
−
86
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
−
6
x
+
43
)
(ii)
y
=
(
−
7
x
+
46
)
(iii)
y
=
(
−
8
x
+
43
)
(iv)
y
=
(
−
7
x
+
43
)
(v)
y
=
(
−
7
x
+
41
)
Question
20
20.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
y
=
k
(ii)
y
=
0
(iii)
x
=
y
(iv)
x
=
k
(v)
x
=
0
Question
21
21.
The point of intersection of x-axis and y-axis
(i)
(
1
,
1
)
(ii)
(
2
,
0
)
(iii)
(
0
,
9
)
(iv)
(
1
,
0
)
(v)
(
0
,
0
)
Question
22
22.
Find the set of points satisfying the equation
(
24
x
+
7
y
−
3
)
=
0
(i)
(
(
−
2
)
,
51
7
)
,
(
(
−
1
)
,
27
7
)
,
(
0
,
3
7
)
,
(
1
,
(
−
3
)
)
,
(
4
,
(
−
31
7
)
)
(ii)
(
(
−
2
)
,
51
7
)
,
(
(
−
1
)
,
27
7
)
,
(
0
,
3
7
)
,
(
0
,
(
−
2
)
)
,
(
2
,
(
−
45
7
)
)
(iii)
(
(
−
2
)
,
51
7
)
,
(
(
−
1
)
,
27
7
)
,
(
(
−
2
)
,
(
−
11
7
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
45
7
)
)
(iv)
(
(
−
2
)
,
51
7
)
,
(
(
−
1
)
,
27
7
)
,
(
0
,
3
7
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
45
7
)
)
(v)
(
(
−
2
)
,
51
7
)
,
(
(
−
1
)
,
27
7
)
,
(
1
,
(
−
4
7
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
45
7
)
)
Question
23
23.
Which of the displayed lines represent the equation
(
4
x
−
4
y
+
8
)
=
0
?
(i)
line with point
R
(ii)
line with point
T
(iii)
line with point
S
(iv)
line with point
U
(v)
line with point
Q
Question
24
24.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
7
5
)
)
,
(
(
−
1
)
,
(
−
23
10
)
)
,
(
0
,
(
−
16
5
)
)
,
(
1
,
(
−
41
10
)
)
,
(
2
,
(
−
5
)
)
?
(i)
x
=
(
9
10
y
+
13
2
)
(ii)
(
−
9
x
−
10
y
−
5
)
=
0
(iii)
x
=
2
(iv)
y
=
(
−
5
)
(v)
y
=
(
−
9
10
x
−
16
5
)
Question
25
25.
Write the given equation
y
=
(
−
x
−
4
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
x
+
y
+
4
)
=
0
(ii)
(
x
−
2
y
+
4
)
=
0
(iii)
(
2
x
+
y
+
4
)
=
0
(iv)
(
x
+
3
y
+
4
)
=
0
(v)
(
y
+
4
)
=
0
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (iii)
5) (i)
6) (ii)
7) (iii)
8) (iii)
9) (ii)
10) (ii)
11) (v)
12) (v)
13) (ii)
14) (ii)
15) (v)
16) (v)
17) (ii)
18) (i)
19) (iv)
20) (iv)
21) (v)
22) (iv)
23) (v)
24) (v)
25) (i)
