EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Linear Equation in Two variables
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
A line which is neither parallel to x-axis nor y-axis is
(i)
a horizontal line
(ii)
a curved line
(iii)
a vertical line
(iv)
an oblique line
Question
2
2.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
(
−
8
)
,
0
)
(i)
x
=
(
−
9
)
(ii)
x
=
(
−
5
)
(iii)
y
=
0
(iv)
y
=
3
(v)
x
=
(
−
8
)
Question
3
3.
Find the set of points satisfying the equation
(
35
x
+
32
y
−
20
)
=
0
(i)
(
(
−
2
)
,
45
16
)
,
(
(
−
1
)
,
55
32
)
,
(
(
−
2
)
,
(
−
11
8
)
)
,
(
1
,
(
−
15
32
)
)
,
(
2
,
(
−
25
16
)
)
(ii)
(
(
−
2
)
,
45
16
)
,
(
(
−
1
)
,
55
32
)
,
(
0
,
5
8
)
,
(
1
,
(
−
15
32
)
)
,
(
4
,
7
16
)
(iii)
(
(
−
2
)
,
45
16
)
,
(
(
−
1
)
,
55
32
)
,
(
0
,
5
8
)
,
(
0
,
17
32
)
,
(
2
,
(
−
25
16
)
)
(iv)
(
(
−
2
)
,
45
16
)
,
(
(
−
1
)
,
55
32
)
,
(
0
,
5
8
)
,
(
1
,
(
−
15
32
)
)
,
(
2
,
(
−
25
16
)
)
(v)
(
(
−
2
)
,
45
16
)
,
(
(
−
1
)
,
55
32
)
,
(
1
,
(
−
3
8
)
)
,
(
1
,
(
−
15
32
)
)
,
(
2
,
(
−
25
16
)
)
Question
4
4.
Write the given equation
y
=
(
7
3
x
+
13
3
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
7
3
x
−
2
y
−
13
3
)
=
0
(ii)
(
−
7
3
x
+
y
−
13
3
)
=
0
(iii)
(
−
7
3
x
+
4
y
−
13
3
)
=
0
(iv)
(
−
3
x
+
y
−
13
3
)
=
0
(v)
(
−
11
5
x
+
y
−
13
3
)
=
0
Question
5
5.
Find the set of points satisfying the equation
y
=
(
8
5
x
+
4
5
)
(i)
(
(
−
2
)
,
(
−
12
5
)
)
,
(
(
−
1
)
,
(
−
4
5
)
)
,
(
0
,
4
5
)
,
(
1
,
12
5
)
,
(
2
,
4
)
(ii)
(
(
−
2
)
,
(
−
12
5
)
)
,
(
(
−
1
)
,
(
−
4
5
)
)
,
(
0
,
4
5
)
,
(
0
,
17
5
)
,
(
2
,
4
)
(iii)
(
(
−
2
)
,
(
−
12
5
)
)
,
(
(
−
1
)
,
(
−
4
5
)
)
,
(
(
−
2
)
,
(
−
6
5
)
)
,
(
1
,
12
5
)
,
(
2
,
4
)
(iv)
(
(
−
2
)
,
(
−
12
5
)
)
,
(
(
−
1
)
,
(
−
4
5
)
)
,
(
0
,
4
5
)
,
(
1
,
12
5
)
,
(
4
,
6
)
(v)
(
(
−
2
)
,
(
−
12
5
)
)
,
(
(
−
1
)
,
(
−
4
5
)
)
,
(
1
,
(
−
1
5
)
)
,
(
1
,
12
5
)
,
(
2
,
4
)
Question
6
6.
Which of the following is a linear equation in two variable?
(i)
(
−
27
x
2
−
15
x
+
2
)
=
(
9
x
+
3
)
(ii)
4
x
=
(
−
8
x
)
(iii)
(
5
x
−
2
y
−
9
)
=
(
−
2
x
+
y
−
7
)
(iv)
(
−
9
x
2
−
18
x
y
−
39
x
−
9
y
2
−
39
y
−
12
)
=
0
(v)
(
5
x
−
5
y
−
2
z
+
1
)
=
(
−
9
x
+
4
y
+
6
z
+
8
)
Question
7
7.
Which of the following equations satisfy the given points
(
(
−
1
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
1
)
,
0
)
,
(
(
−
1
)
,
1
)
,
(
(
−
1
)
,
2
)
?
(i)
(
−
12
x
−
11
y
−
28
)
=
0
(ii)
x
=
(
12
11
y
−
107
11
)
(iii)
y
=
(
−
12
11
x
+
76
11
)
(iv)
x
=
(
−
1
)
(v)
(
2
x
+
2
y
−
1
)
=
0
Question
8
8.
Find the set of points satisfying the equation
(
−
3
x
+
6
y
−
18
)
=
0
(i)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
5
2
)
,
(
(
−
2
)
,
1
)
,
(
1
,
7
2
)
,
(
2
,
4
)
(ii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
3
)
,
(
1
,
7
2
)
,
(
4
,
6
)
(iii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
5
2
)
,
(
1
,
2
)
,
(
1
,
7
2
)
,
(
2
,
4
)
(iv)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
3
)
,
(
0
,
9
2
)
,
(
2
,
4
)
(v)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
3
)
,
(
1
,
7
2
)
,
(
2
,
4
)
Question
9
9.
Which of the following is a linear equation in two variable?
(i)
(
−
27
x
2
−
39
x
y
+
30
x
+
56
y
2
−
46
y
+
8
)
=
0
(ii)
(
−
2
x
−
8
)
=
0
(iii)
(
3
x
−
7
y
−
3
)
=
0
(iv)
(
42
x
2
−
55
x
+
8
)
=
0
(v)
(
−
6
x
−
3
y
−
3
z
+
2
)
=
0
Question
10
10.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
5
)
,
1
)
(i)
x
=
(
−
3
)
(ii)
x
=
(
−
5
)
(iii)
y
=
1
(iv)
y
=
0
(v)
y
=
4
Question
11
11.
Which of the following equations satisfy the given points
(
(
−
2
)
,
18
5
)
,
(
(
−
1
)
,
2
)
,
(
0
,
2
5
)
,
(
1
,
(
−
6
5
)
)
,
(
2
,
(
−
14
5
)
)
?
(i)
(
−
6
x
−
10
y
−
14
)
=
0
(ii)
x
=
(
−
8
)
(iii)
y
=
9
(iv)
x
=
(
3
5
y
−
67
5
)
(v)
(
8
x
+
5
y
−
2
)
=
0
Question
12
12.
Which of the displayed lines represent the equation
y
=
(
4
5
x
+
4
5
)
(i)
line with point
X
(ii)
line with point
W
(iii)
line with point
U
(iv)
line with point
V
(v)
line with point
T
Question
13
13.
Any line parallel to x-axis is
(i)
a vertical line
(ii)
a curved line
(iii)
a horizontal line
(iv)
an oblique line
Question
14
14.
Find the equation of the line passing through the points
(
8
,
(
−
3
)
)
and
(
7
,
(
−
1
)
)
(i)
(
3
x
+
y
−
13
)
=
0
(ii)
(
2
x
+
y
−
13
)
=
0
(iii)
(
2
x
+
y
−
15
)
=
0
(iv)
(
2
x
+
y
−
14
)
=
0
(v)
(
x
+
y
−
13
)
=
0
Question
15
15.
Find the equation of the displayed line
(i)
y
=
5
(ii)
y
=
3
(iii)
y
=
4
(iv)
x
=
4
(v)
4
y
=
4
Question
16
16.
Find the equation of the displayed line
(i)
x
=
0
(ii)
y
=
1
(iii)
x
=
1
(iv)
x
=
2
(v)
4
x
=
1
Question
17
17.
The equation of the x-axis is
a)
x
=
y
b)
x
=
0
c)
x
=
1
d)
y
=
0
e)
y
=
1
(i)
{a,d}
(ii)
{c,e,d}
(iii)
{d}
(iv)
{b,d}
Question
18
18.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
y
=
0
(ii)
y
=
k
(iii)
x
=
y
(iv)
x
=
0
(v)
x
=
k
Question
19
19.
The value of
x
in terms of other variables and constant in
(
8
x
+
5
y
+
4
)
=
(
6
x
−
2
y
−
4
)
is
(i)
x
=
(
−
7
2
y
−
4
)
(ii)
x
=
(
−
4
y
−
4
)
(iii)
x
=
(
−
7
2
y
−
2
)
(iv)
x
=
(
−
13
4
y
−
4
)
(v)
x
=
(
−
7
2
y
−
7
)
Question
20
20.
Which of the displayed lines represent the equation
y
=
5
9
x
(i)
line with point
Q
(ii)
line with point
P
(iii)
line with point
T
(iv)
line with point
S
(v)
line with point
R
Question
21
21.
Which of the following lines do not pass through the origin?
(i)
(
−
7
x
+
12
y
+
22
)
=
0
(ii)
(
−
3
x
+
2
y
)
=
0
(iii)
(
x
+
7
y
)
=
0
(iv)
(
−
3
x
−
2
y
)
=
0
(v)
(
8
x
−
5
y
)
=
0
Question
22
22.
The equation of y-axis is
(i)
x
=
1
(ii)
y
=
x
(iii)
y
=
1
(iv)
x
=
0
(v)
y
=
0
Question
23
23.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
x
=
m
y
+
c
(ii)
x
=
0
(iii)
y
=
m
x
(iv)
y
=
0
(v)
y
=
m
x
+
c
Question
24
24.
The equation of x-axis is
(i)
y
=
x
(ii)
x
=
1
(iii)
y
=
1
(iv)
y
=
0
(v)
x
=
0
Question
25
25.
Which of the following are true?
a)
Equation of the line passing through origin is y = mx +
8
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,d,c}
(ii)
{c,d}
(iii)
{a,c}
(iv)
{a,b,c}
(v)
{b,d}
Assignment Key
1) (iv)
2) (v)
3) (iv)
4) (ii)
5) (i)
6) (iii)
7) (iv)
8) (v)
9) (iii)
10) (iii)
11) (v)
12) (v)
13) (iii)
14) (ii)
15) (iii)
16) (iii)
17) (iii)
18) (ii)
19) (i)
20) (ii)
21) (i)
22) (iv)
23) (iii)
24) (iv)
25) (ii)
