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 a straight line parallel to y-axis and
passing through the point
(
(
−
1
)
,
5
)
(i)
x
=
2
(ii)
x
=
(
−
1
)
(iii)
x
=
(
−
2
)
(iv)
y
=
5
(v)
y
=
8
Question
2
2.
The point of intersection of x-axis and y-axis
(i)
(
8
,
0
)
(ii)
(
0
,
0
)
(iii)
(
1
,
0
)
(iv)
(
1
,
1
)
(v)
(
0
,
8
)
Question
3
3.
Which of the following equations satisfy the given points
(
(
−
2
)
,
7
6
)
,
(
(
−
1
)
,
3
4
)
,
(
0
,
1
3
)
,
(
1
,
(
−
1
12
)
)
,
(
2
,
(
−
1
2
)
)
?
(i)
x
=
(
−
6
)
(ii)
(
5
x
+
12
y
−
4
)
=
0
(iii)
(
−
11
x
−
12
y
−
28
)
=
0
(iv)
y
=
(
−
5
)
(v)
x
=
(
11
12
y
−
17
12
)
Question
4
4.
Which of the displayed lines represent the equation
y
=
(
x
−
3
)
(i)
line with point
R
(ii)
line with point
Q
(iii)
line with point
T
(iv)
line with point
S
(v)
line with point
U
Question
5
5.
Find the set of points satisfying the equation
x
=
(
−
7
)
(i)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
(ii)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
6
)
,
(
−
1
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
(iii)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
8
)
,
2
)
,
(
(
−
7
)
,
2
)
(iv)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
7
)
,
1
)
,
(
(
−
5
)
,
4
)
(v)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
Question
6
6.
Find the set of points satisfying the equation
y
=
(
−
x
)
(i)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
(ii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
(iii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
0
,
0
)
,
(
1
,
(
−
1
)
)
,
(
4
,
0
)
(iv)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
0
,
0
)
,
(
2
,
(
−
2
)
)
(v)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
0
,
0
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
Question
7
7.
The equation of y-axis is
(i)
x
=
0
(ii)
y
=
x
(iii)
y
=
1
(iv)
x
=
1
(v)
y
=
0
Question
8
8.
Find the equation of the displayed line
(i)
y
=
2
(ii)
4
y
=
3
(iii)
x
=
3
(iv)
y
=
4
(v)
y
=
3
Question
9
9.
The equation of x-axis is
(i)
x
=
1
(ii)
y
=
x
(iii)
x
=
0
(iv)
y
=
0
(v)
y
=
1
Question
10
10.
The equation of the x-axis is
a)
x
=
1
b)
y
=
1
c)
x
=
y
d)
x
=
0
e)
y
=
0
(i)
{c,d,e}
(ii)
{b,e}
(iii)
{a,e}
(iv)
{e}
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
=
y
(iii)
x
=
0
(iv)
y
=
k
(v)
x
=
k
Question
12
12.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
6
,
9
)
(i)
y
=
12
(ii)
y
=
9
(iii)
x
=
6
(iv)
x
=
8
(v)
y
=
8
Question
13
13.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
y
=
0
(ii)
x
=
0
(iii)
x
=
y
(iv)
y
=
k
(v)
x
=
k
Question
14
14.
Find the set of points satisfying the equation
y
=
(
−
9
)
(i)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
9
)
)
,
(
0
,
(
−
8
)
)
,
(
2
,
(
−
9
)
)
(ii)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
9
)
)
,
(
1
,
(
−
9
)
)
,
(
2
,
(
−
9
)
)
(iii)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
(
−
2
)
,
(
−
11
)
)
,
(
1
,
(
−
9
)
)
,
(
2
,
(
−
9
)
)
(iv)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
1
,
(
−
10
)
)
,
(
1
,
(
−
9
)
)
,
(
2
,
(
−
9
)
)
(v)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
9
)
)
,
(
1
,
(
−
9
)
)
,
(
4
,
(
−
7
)
)
Question
15
15.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
m
x
+
c
(ii)
y
=
m
x
(iii)
y
=
0
(iv)
x
=
0
(v)
x
=
m
y
+
c
Question
16
16.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
83
7
)
)
,
(
(
−
1
)
,
(
−
87
7
)
)
,
(
0
,
(
−
13
)
)
,
(
1
,
(
−
95
7
)
)
,
(
2
,
(
−
99
7
)
)
?
(i)
(
−
8
x
−
14
y
+
58
)
=
0
(ii)
x
=
(
−
7
)
(iii)
y
=
(
−
9
)
(iv)
y
=
(
−
4
7
x
−
13
)
(v)
x
=
(
4
7
y
−
13
7
)
Question
17
17.
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
=
m
x
+
c
c)
Equation of the line passing through origin is y = mx +
6
d)
Equation of the line passing through origin is y = x
(i)
{b,d,a}
(ii)
{c,d}
(iii)
{b,a}
(iv)
{b,c,a}
(v)
{a,d}
Question
18
18.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
a curved line
(iii)
an oblique line
(iv)
a vertical line
Question
19
19.
Which of the following is a linear equation in two variable?
(i)
(
28
x
2
+
64
x
+
16
)
=
(
−
8
x
)
(ii)
(
−
6
x
−
5
)
=
(
4
x
−
8
)
(iii)
(
6
x
2
−
4
x
y
−
22
x
−
10
y
2
+
26
y
+
12
)
=
0
(iv)
(
9
x
−
3
y
+
6
z
−
1
)
=
(
−
7
x
+
9
y
+
2
z
+
3
)
(v)
(
−
2
x
−
3
y
−
6
)
=
(
7
x
−
8
y
+
6
)
Question
20
20.
The value of
x
in terms of other variables and constant in
(
−
7
x
+
9
y
+
1
)
=
(
−
x
+
8
y
−
3
)
is
(i)
x
=
1
6
y
(ii)
x
=
(
1
6
y
+
2
3
)
(iii)
x
=
(
1
6
y
+
4
3
)
(iv)
x
=
(
1
4
y
+
2
3
)
(v)
x
=
(
1
8
y
+
2
3
)
Question
21
21.
Which of the following equations satisfy the given points
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
3
,
0
)
,
(
3
,
1
)
,
(
3
,
2
)
?
(i)
y
=
(
−
12
11
x
+
135
11
)
(ii)
x
=
(
12
11
y
−
75
11
)
(iii)
x
=
3
(iv)
(
15
x
+
4
y
−
3
)
=
0
(v)
(
−
12
x
−
11
y
+
39
)
=
0
Question
22
22.
Find the set of points satisfying the equation
(
−
12
x
−
2
y
+
38
)
=
0
(i)
(
(
−
2
)
,
31
)
,
(
(
−
1
)
,
25
)
,
(
1
,
18
)
,
(
1
,
13
)
,
(
2
,
7
)
(ii)
(
(
−
2
)
,
31
)
,
(
(
−
1
)
,
25
)
,
(
(
−
2
)
,
17
)
,
(
1
,
13
)
,
(
2
,
7
)
(iii)
(
(
−
2
)
,
31
)
,
(
(
−
1
)
,
25
)
,
(
0
,
19
)
,
(
1
,
13
)
,
(
4
,
9
)
(iv)
(
(
−
2
)
,
31
)
,
(
(
−
1
)
,
25
)
,
(
0
,
19
)
,
(
0
,
14
)
,
(
2
,
7
)
(v)
(
(
−
2
)
,
31
)
,
(
(
−
1
)
,
25
)
,
(
0
,
19
)
,
(
1
,
13
)
,
(
2
,
7
)
Question
23
23.
Find the set of points satisfying the equation
x
=
(
−
3
5
y
+
19
5
)
(i)
(
(
−
2
)
,
29
3
)
,
(
(
−
1
)
,
8
)
,
(
(
−
2
)
,
13
3
)
,
(
1
,
14
3
)
,
(
2
,
3
)
(ii)
(
(
−
2
)
,
29
3
)
,
(
(
−
1
)
,
8
)
,
(
1
,
16
3
)
,
(
1
,
14
3
)
,
(
2
,
3
)
(iii)
(
(
−
2
)
,
29
3
)
,
(
(
−
1
)
,
8
)
,
(
0
,
19
3
)
,
(
0
,
17
3
)
,
(
2
,
3
)
(iv)
(
(
−
2
)
,
29
3
)
,
(
(
−
1
)
,
8
)
,
(
0
,
19
3
)
,
(
1
,
14
3
)
,
(
2
,
3
)
(v)
(
(
−
2
)
,
29
3
)
,
(
(
−
1
)
,
8
)
,
(
0
,
19
3
)
,
(
1
,
14
3
)
,
(
4
,
5
)
Question
24
24.
Which of the displayed lines represent the equation
y
=
0
(i)
line with point
Q
(ii)
line with point
R
(iii)
line with point
P
(iv)
line with point
S
(v)
line with point
O
Question
25
25.
Any line parallel to y-axis is
(i)
an oblique line
(ii)
a vertical line
(iii)
a curved line
(iv)
a horizontal line
Assignment Key
1) (ii)
2) (ii)
3) (ii)
4) (ii)
5) (i)
6) (v)
7) (i)
8) (v)
9) (iv)
10) (iv)
11) (v)
12) (ii)
13) (iv)
14) (ii)
15) (ii)
16) (iv)
17) (v)
18) (i)
19) (v)
20) (ii)
21) (iii)
22) (v)
23) (iv)
24) (v)
25) (ii)
