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 set of points satisfying the equation
y
=
(
7
17
x
+
46
17
)
(i)
(
(
−
2
)
,
32
17
)
,
(
(
−
1
)
,
39
17
)
,
(
0
,
46
17
)
,
(
1
,
53
17
)
,
(
4
,
94
17
)
(ii)
(
(
−
2
)
,
32
17
)
,
(
(
−
1
)
,
39
17
)
,
(
0
,
46
17
)
,
(
1
,
53
17
)
,
(
2
,
60
17
)
(iii)
(
(
−
2
)
,
32
17
)
,
(
(
−
1
)
,
39
17
)
,
(
1
,
29
17
)
,
(
1
,
53
17
)
,
(
2
,
60
17
)
(iv)
(
(
−
2
)
,
32
17
)
,
(
(
−
1
)
,
39
17
)
,
(
(
−
2
)
,
12
17
)
,
(
1
,
53
17
)
,
(
2
,
60
17
)
(v)
(
(
−
2
)
,
32
17
)
,
(
(
−
1
)
,
39
17
)
,
(
0
,
46
17
)
,
(
0
,
70
17
)
,
(
2
,
60
17
)
Question
2
2.
Find the equation of the line passing through the points
(
2
,
(
−
5
)
)
and
(
(
−
6
)
,
(
−
2
)
)
(i)
(
3
x
+
8
y
+
26
)
=
0
(ii)
(
3
x
+
8
y
+
31
)
=
0
(iii)
(
4
x
+
8
y
+
34
)
=
0
(iv)
(
2
x
+
8
y
+
34
)
=
0
(v)
(
3
x
+
8
y
+
34
)
=
0
Question
3
3.
Write the given equation
y
=
(
3
5
x
−
2
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
3
5
x
−
y
+
2
)
=
0
(ii)
(
−
3
7
x
+
y
+
2
)
=
0
(iii)
(
−
3
5
x
+
y
+
2
)
=
0
(iv)
(
−
3
5
x
+
3
y
+
2
)
=
0
(v)
(
−
x
+
y
+
2
)
=
0
Question
4
4.
The equation of the x-axis is
a)
y
=
0
b)
y
=
1
c)
x
=
1
d)
x
=
0
e)
x
=
y
(i)
{a}
(ii)
{c,a}
(iii)
{d,e,a}
(iv)
{b,a}
Question
5
5.
Find the set of points satisfying the equation
(
−
10
x
+
13
y
+
8
)
=
0
(i)
(
(
−
2
)
,
(
−
28
13
)
)
,
(
(
−
1
)
,
(
−
18
13
)
)
,
(
1
,
(
−
21
13
)
)
,
(
1
,
2
13
)
,
(
2
,
12
13
)
(ii)
(
(
−
2
)
,
(
−
28
13
)
)
,
(
(
−
1
)
,
(
−
18
13
)
)
,
(
0
,
(
−
8
13
)
)
,
(
1
,
2
13
)
,
(
4
,
38
13
)
(iii)
(
(
−
2
)
,
(
−
28
13
)
)
,
(
(
−
1
)
,
(
−
18
13
)
)
,
(
(
−
2
)
,
(
−
34
13
)
)
,
(
1
,
2
13
)
,
(
2
,
12
13
)
(iv)
(
(
−
2
)
,
(
−
28
13
)
)
,
(
(
−
1
)
,
(
−
18
13
)
)
,
(
0
,
(
−
8
13
)
)
,
(
0
,
15
13
)
,
(
2
,
12
13
)
(v)
(
(
−
2
)
,
(
−
28
13
)
)
,
(
(
−
1
)
,
(
−
18
13
)
)
,
(
0
,
(
−
8
13
)
)
,
(
1
,
2
13
)
,
(
2
,
12
13
)
Question
6
6.
The point of intersection of x-axis and y-axis
(i)
(
1
,
0
)
(ii)
(
1
,
1
)
(iii)
(
4
,
0
)
(iv)
(
0
,
0
)
(v)
(
0
,
9
)
Question
7
7.
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)
y
=
m
x
+
c
(v)
x
=
m
y
+
c
Question
8
8.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
(
−
4
)
,
(
−
3
)
)
(i)
y
=
(
−
1
)
(ii)
y
=
(
−
3
)
(iii)
x
=
(
−
1
)
(iv)
x
=
(
−
4
)
(v)
x
=
(
−
5
)
Question
9
9.
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)
y
=
0
(v)
x
=
k
Question
10
10.
Which of the following is a linear equation in two variable?
(i)
(
2
x
+
6
y
+
4
)
=
(
x
−
4
y
−
4
)
(ii)
(
−
x
+
2
y
+
7
z
+
2
)
=
(
−
4
x
−
7
y
−
8
z
−
6
)
(iii)
(
−
5
x
−
9
)
=
9
x
(iv)
(
4
x
2
+
16
x
y
+
8
x
+
12
y
2
+
16
y
+
4
)
=
0
(v)
(
56
x
2
−
40
x
)
=
(
−
9
x
+
9
)
Question
11
11.
Find the set of points satisfying the equation
y
=
9
7
x
(i)
(
(
−
2
)
,
(
−
18
7
)
)
,
(
(
−
1
)
,
(
−
9
7
)
)
,
(
0
,
0
)
,
(
1
,
9
7
)
,
(
4
,
32
7
)
(ii)
(
(
−
2
)
,
(
−
18
7
)
)
,
(
(
−
1
)
,
(
−
9
7
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
9
7
)
,
(
2
,
18
7
)
(iii)
(
(
−
2
)
,
(
−
18
7
)
)
,
(
(
−
1
)
,
(
−
9
7
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
9
7
)
,
(
2
,
18
7
)
(iv)
(
(
−
2
)
,
(
−
18
7
)
)
,
(
(
−
1
)
,
(
−
9
7
)
)
,
(
0
,
0
)
,
(
1
,
9
7
)
,
(
2
,
18
7
)
(v)
(
(
−
2
)
,
(
−
18
7
)
)
,
(
(
−
1
)
,
(
−
9
7
)
)
,
(
0
,
0
)
,
(
0
,
16
7
)
,
(
2
,
18
7
)
Question
12
12.
The value of
y
in terms of other variables and constant in
(
7
x
−
3
y
+
1
)
=
(
−
2
x
−
2
y
−
6
)
is
(i)
y
=
(
8
x
+
7
)
(ii)
y
=
(
9
x
+
10
)
(iii)
y
=
(
9
x
+
5
)
(iv)
y
=
(
9
x
+
7
)
(v)
y
=
(
10
x
+
7
)
Question
13
13.
Which of the displayed lines represent the equation
(
4
x
−
3
y
+
11
)
=
0
?
(i)
line with point
O
(ii)
line with point
N
(iii)
line with point
P
(iv)
line with point
Q
(v)
line with point
R
Question
14
14.
Which of the following equations satisfy the given points
(
(
−
2
)
,
15
2
)
,
(
(
−
1
)
,
47
8
)
,
(
0
,
17
4
)
,
(
1
,
21
8
)
,
(
2
,
1
)
?
(i)
(
3
x
+
3
y
−
2
)
=
0
(ii)
y
=
(
−
13
8
x
+
17
4
)
(iii)
(
−
13
x
−
8
y
+
6
)
=
0
(iv)
x
=
2
(v)
y
=
1
Question
15
15.
The value of
x
in terms of other variables and constant in
(
−
8
x
−
3
y
−
5
)
=
(
4
x
−
6
y
+
5
)
is
(i)
x
=
(
1
4
y
−
7
6
)
(ii)
x
=
(
1
2
y
−
5
6
)
(iii)
x
=
(
1
4
y
−
5
6
)
(iv)
x
=
(
1
6
y
−
5
6
)
(v)
x
=
(
1
4
y
−
1
2
)
Question
16
16.
Find the set of points satisfying the equation
(
4
x
+
4
y
−
3
)
=
0
(i)
(
(
−
2
)
,
11
4
)
,
(
(
−
1
)
,
7
4
)
,
(
0
,
3
4
)
,
(
2
,
(
−
5
4
)
)
(ii)
(
(
−
2
)
,
11
4
)
,
(
(
−
1
)
,
7
4
)
,
(
1
,
(
−
1
4
)
)
,
(
2
,
(
−
5
4
)
)
(iii)
(
(
−
2
)
,
11
4
)
,
(
(
−
1
)
,
7
4
)
,
(
0
,
3
4
)
,
(
1
,
(
−
1
4
)
)
,
(
4
,
3
4
)
(iv)
(
(
−
2
)
,
11
4
)
,
(
(
−
1
)
,
7
4
)
,
(
(
−
2
)
,
(
−
5
4
)
)
,
(
1
,
(
−
1
4
)
)
,
(
2
,
(
−
5
4
)
)
(v)
(
(
−
2
)
,
11
4
)
,
(
(
−
1
)
,
7
4
)
,
(
0
,
3
4
)
,
(
1
,
(
−
1
4
)
)
,
(
2
,
(
−
5
4
)
)
Question
17
17.
Find the equation of the displayed line
(i)
3
y
=
(
−
7
)
(ii)
y
=
(
−
8
)
(iii)
y
=
(
−
7
)
(iv)
x
=
(
−
7
)
(v)
y
=
(
−
6
)
Question
18
18.
Find the set of points satisfying the equation
x
=
(
−
6
5
y
)
(i)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
5
6
)
,
(
0
,
0
)
,
(
1
,
(
−
5
6
)
)
,
(
4
,
1
3
)
(ii)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
5
6
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
5
6
)
)
,
(
2
,
(
−
5
3
)
)
(iii)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
5
6
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
5
6
)
)
,
(
2
,
(
−
5
3
)
)
(iv)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
5
6
)
,
(
0
,
0
)
,
(
1
,
(
−
5
6
)
)
,
(
2
,
(
−
5
3
)
)
(v)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
5
6
)
,
(
0
,
0
)
,
(
0
,
1
6
)
,
(
2
,
(
−
5
3
)
)
Question
19
19.
Which of the displayed lines represent the equation
y
=
7
(i)
line with point
T
(ii)
line with point
Q
(iii)
line with point
S
(iv)
line with point
R
(v)
line with point
P
Question
20
20.
The equation of y-axis is
(i)
y
=
0
(ii)
y
=
x
(iii)
x
=
0
(iv)
x
=
1
(v)
y
=
1
Question
21
21.
Write the given equation
(
7
x
−
16
y
+
8
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
7
18
x
+
1
2
)
(ii)
y
=
(
1
2
x
+
1
2
)
(iii)
y
=
(
7
16
x
−
1
2
)
(iv)
y
=
(
7
16
x
+
1
2
)
(v)
y
=
(
7
16
x
+
3
2
)
Question
22
22.
A line which is neither parallel to x-axis nor y-axis is
(i)
a vertical line
(ii)
an oblique line
(iii)
a curved line
(iv)
a horizontal line
Question
23
23.
Which of the displayed lines represent the equation
x
=
(
−
7
)
(i)
line with point
Q
(ii)
line with point
S
(iii)
line with point
P
(iv)
line with point
T
(v)
line with point
R
Question
24
24.
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
=
m
x
c)
Equation of the line passing through origin is
y
=
m
x
+
c
d)
Equation of the line passing through origin is y = mx +
9
(i)
{c,a}
(ii)
{c,d,a}
(iii)
{d,b}
(iv)
{a,b}
(v)
{c,b,a}
Question
25
25.
The coordinates of the origin are
(i)
(
1
,
0
)
(ii)
(
0
,
8
)
(iii)
(
0
,
0
)
(iv)
(
1
,
1
)
(v)
(
8
,
0
)
Assignment Key
1) (ii)
2) (v)
3) (iii)
4) (i)
5) (v)
6) (iv)
7) (i)
8) (iv)
9) (v)
10) (i)
11) (iv)
12) (iv)
13) (ii)
14) (ii)
15) (iii)
16) (v)
17) (iii)
18) (iv)
19) (v)
20) (iii)
21) (iv)
22) (ii)
23) (iii)
24) (iv)
25) (iii)
