EduSahara™ Assignment
Name : Line Equations & Satisfying Points
Chapter : Linear Equation in Two variables
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The equation of the line passing through the points
(
1
,
(
−
4
)
)
and
(
0
,
4
)
is
(i)
(
−
11
x
+
y
+
73
)
=
0
(ii)
(
−
7
y
+
28
)
=
0
(iii)
(
8
x
+
y
−
4
)
=
0
(iv)
(
8
x
−
6
y
−
32
)
=
0
Question
2
2.
The equation of x-axis is
(i)
y
=
x
(ii)
y
=
0
(iii)
x
=
0
(iv)
x
=
1
(v)
y
=
1
Question
3
3.
The equation of y-axis is
(i)
x
=
0
(ii)
y
=
1
(iii)
x
=
1
(iv)
y
=
x
(v)
y
=
0
Question
4
4.
Any line parallel to x-axis is
(i)
a curved line
(ii)
a vertical line
(iii)
a horizontal line
(iv)
an oblique line
Question
5
5.
Any line parallel to y-axis is
(i)
a vertical line
(ii)
a horizontal line
(iii)
an oblique line
(iv)
a curved line
Question
6
6.
A line which is neither parallel to x-axis nor y-axis is
(i)
an oblique line
(ii)
a curved line
(iii)
a vertical line
(iv)
a horizontal line
Question
7
7.
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 = mx +
8
c)
Equation of the line passing through origin is
y
=
m
x
+
c
d)
Equation of the line passing through origin is y = x
(i)
{b,a}
(ii)
{b,c,a}
(iii)
{a,d}
(iv)
{b,d,a}
(v)
{c,d}
Question
8
8.
Which of the following are true?
a)
The abscissa of every point on x-axis is zero
b)
The ordinate of every point on y-axis is zero
c)
The ordinate of every point on x-axis is zero
d)
The abscissa of every point on y-axis is zero
(i)
{b,d}
(ii)
{a,d,c}
(iii)
{c,d}
(iv)
{a,c}
(v)
{a,b,c}
Question
9
9.
Which of the following are true?
a)
A horizontal line other than x-axis has no x-intercept
b)
A vertical line other than y-axis has no y-intercept
c)
A horizontal line other than x-axis has no y-intercept
d)
A vertical line other than y-axis has no x-intercept
(i)
{a,b}
(ii)
{c,b,a}
(iii)
{c,a}
(iv)
{d,b}
(v)
{c,d,a}
Question
10
10.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
y
(ii)
x
=
0
(iii)
y
=
k
(iv)
x
=
k
(v)
y
=
0
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)
x
=
k
(iv)
y
=
k
(v)
x
=
y
Question
12
12.
Find the equation of the displayed line
(i)
x
=
6
(ii)
y
=
5
(iii)
y
=
6
(iv)
3
y
=
6
(v)
y
=
7
Question
13
13.
Find the equation of the displayed line
(i)
y
=
2
(ii)
3
x
=
2
(iii)
x
=
1
(iv)
x
=
3
(v)
x
=
2
Question
14
14.
Find the equation of the line passing through the points
(
(
−
3
)
,
(
−
8
)
)
and
(
(
−
6
)
,
(
−
2
)
)
(i)
(
6
x
+
3
y
+
39
)
=
0
(ii)
(
7
x
+
3
y
+
42
)
=
0
(iii)
(
6
x
+
3
y
+
36
)
=
0
(iv)
(
6
x
+
3
y
+
42
)
=
0
(v)
(
5
x
+
3
y
+
42
)
=
0
Question
15
15.
The equation of the x-axis is
a)
x
=
y
b)
x
=
0
c)
y
=
1
d)
x
=
1
e)
y
=
0
(i)
{b,e}
(ii)
{e}
(iii)
{a,e}
(iv)
{c,d,e}
Question
16
16.
Find the set of points satisfying the equation
(
−
14
x
−
3
y
+
32
)
=
0
(i)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
46
3
)
,
(
0
,
32
3
)
,
(
1
,
6
)
,
(
2
,
4
3
)
(ii)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
46
3
)
,
(
0
,
32
3
)
,
(
0
,
7
)
,
(
2
,
4
3
)
(iii)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
46
3
)
,
(
1
,
29
3
)
,
(
1
,
6
)
,
(
2
,
4
3
)
(iv)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
46
3
)
,
(
(
−
2
)
,
26
3
)
,
(
1
,
6
)
,
(
2
,
4
3
)
(v)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
46
3
)
,
(
0
,
32
3
)
,
(
1
,
6
)
,
(
4
,
10
3
)
Question
17
17.
Find the set of points satisfying the equation
y
=
(
−
2
5
x
+
1
5
)
(i)
(
(
−
2
)
,
1
1
)
,
(
(
−
1
)
,
3
5
)
,
(
(
−
2
)
,
(
−
9
5
)
)
,
(
1
,
(
−
1
5
)
)
,
(
2
,
(
−
3
5
)
)
(ii)
(
(
−
2
)
,
1
1
)
,
(
(
−
1
)
,
3
5
)
,
(
0
,
1
5
)
,
(
1
,
(
−
1
5
)
)
,
(
4
,
7
5
)
(iii)
(
(
−
2
)
,
1
1
)
,
(
(
−
1
)
,
3
5
)
,
(
0
,
1
5
)
,
(
0
,
4
5
)
,
(
2
,
(
−
3
5
)
)
(iv)
(
(
−
2
)
,
1
1
)
,
(
(
−
1
)
,
3
5
)
,
(
1
,
(
−
4
5
)
)
,
(
1
,
(
−
1
5
)
)
,
(
2
,
(
−
3
5
)
)
(v)
(
(
−
2
)
,
1
1
)
,
(
(
−
1
)
,
3
5
)
,
(
0
,
1
5
)
,
(
1
,
(
−
1
5
)
)
,
(
2
,
(
−
3
5
)
)
Question
18
18.
Find the set of points satisfying the equation
x
=
(
−
1
7
y
−
47
7
)
(i)
(
(
−
2
)
,
(
−
33
)
)
,
(
(
−
1
)
,
(
−
40
)
)
,
(
1
,
(
−
48
)
)
,
(
1
,
(
−
54
)
)
,
(
2
,
(
−
61
)
)
(ii)
(
(
−
2
)
,
(
−
33
)
)
,
(
(
−
1
)
,
(
−
40
)
)
,
(
0
,
(
−
47
)
)
,
(
1
,
(
−
54
)
)
,
(
2
,
(
−
61
)
)
(iii)
(
(
−
2
)
,
(
−
33
)
)
,
(
(
−
1
)
,
(
−
40
)
)
,
(
(
−
2
)
,
(
−
49
)
)
,
(
1
,
(
−
54
)
)
,
(
2
,
(
−
61
)
)
(iv)
(
(
−
2
)
,
(
−
33
)
)
,
(
(
−
1
)
,
(
−
40
)
)
,
(
0
,
(
−
47
)
)
,
(
0
,
(
−
53
)
)
,
(
2
,
(
−
61
)
)
(v)
(
(
−
2
)
,
(
−
33
)
)
,
(
(
−
1
)
,
(
−
40
)
)
,
(
0
,
(
−
47
)
)
,
(
1
,
(
−
54
)
)
,
(
4
,
(
−
59
)
)
Question
19
19.
Find the set of points satisfying the equation
y
=
6
x
(i)
(
(
−
2
)
,
(
−
12
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
0
)
,
(
0
,
7
)
,
(
2
,
12
)
(ii)
(
(
−
2
)
,
(
−
12
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
6
)
,
(
2
,
12
)
(iii)
(
(
−
2
)
,
(
−
12
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
6
)
,
(
2
,
12
)
(iv)
(
(
−
2
)
,
(
−
12
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
0
)
,
(
1
,
6
)
,
(
2
,
12
)
(v)
(
(
−
2
)
,
(
−
12
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
0
)
,
(
1
,
6
)
,
(
4
,
14
)
Question
20
20.
Find the set of points satisfying the equation
(
2
x
+
3
y
−
1
)
=
0
(i)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
1
1
)
,
(
1
,
(
−
2
3
)
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
1
)
)
(ii)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
1
3
)
,
(
1
,
(
−
1
3
)
)
,
(
4
,
1
)
(iii)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
1
1
)
,
(
(
−
2
)
,
(
−
5
3
)
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
1
3
)
,
(
0
,
2
3
)
,
(
2
,
(
−
1
)
)
(v)
(
(
−
2
)
,
5
3
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
1
3
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
1
)
)
Question
21
21.
Find the set of points satisfying the equation
y
=
(
−
7
)
(i)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
(
−
2
)
,
(
−
9
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
(ii)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
(iii)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
1
,
(
−
8
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
(iv)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
7
)
)
,
(
4
,
(
−
5
)
)
(v)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
0
,
(
−
6
)
)
,
(
2
,
(
−
7
)
)
Question
22
22.
Find the set of points satisfying the equation
x
=
(
−
2
)
(i)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
0
)
,
(
(
−
2
)
,
1
)
,
(
(
−
2
)
,
2
)
(ii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
2
)
,
1
)
,
(
(
−
2
)
,
2
)
(iii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
2
)
,
1
)
,
(
(
−
2
)
,
2
)
(iv)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
0
)
,
(
(
−
2
)
,
1
)
,
(
0
,
4
)
(v)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
0
)
,
(
(
−
3
)
,
2
)
,
(
(
−
2
)
,
2
)
Question
23
23.
Which of the following equations satisfy the given points
(
(
−
2
)
,
3
2
)
,
(
(
−
1
)
,
1
5
)
,
(
0
,
(
−
11
10
)
)
,
(
1
,
(
−
12
5
)
)
,
(
2
,
(
−
37
10
)
)
?
(i)
x
=
(
13
10
y
−
1
2
)
(ii)
y
=
(
−
13
10
x
−
141
10
)
(iii)
(
−
13
x
−
10
y
−
11
)
=
0
(iv)
(
4
x
+
6
y
−
3
)
=
0
(v)
y
=
(
−
5
)
Question
24
24.
Which of the following equations satisfy the given points
(
(
−
2
)
,
20
3
)
,
(
(
−
1
)
,
16
3
)
,
(
0
,
4
)
,
(
1
,
8
3
)
,
(
2
,
4
3
)
?
(i)
y
=
(
−
4
3
x
+
4
)
(ii)
y
=
(
−
8
)
(iii)
(
10
x
+
9
y
−
6
)
=
0
(iv)
(
−
4
x
−
3
y
−
1
)
=
0
(v)
x
=
(
4
3
y
+
59
3
)
Question
25
25.
Which of the following equations satisfy the given points
(
(
−
2
)
,
44
21
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
4
7
)
,
(
1
,
(
−
4
21
)
)
,
(
2
,
(
−
20
21
)
)
?
(i)
y
=
(
−
4
)
(ii)
x
=
(
y
−
4
)
(iii)
y
=
(
−
x
−
12
)
(iv)
(
16
x
+
21
y
−
12
)
=
0
(v)
(
−
11
x
−
11
y
)
=
0
Question
26
26.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
4
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
?
(i)
(
9
x
+
5
y
−
3
)
=
0
(ii)
y
=
(
−
11
15
x
+
13
5
)
(iii)
x
=
(
11
15
y
+
179
15
)
(iv)
y
=
(
−
4
)
(v)
x
=
9
Question
27
27.
Which of the following equations satisfy the given points
(
5
,
(
−
2
)
)
,
(
5
,
(
−
1
)
)
,
(
5
,
0
)
,
(
5
,
1
)
,
(
5
,
2
)
?
(i)
(
6
x
+
15
y
−
5
)
=
0
(ii)
x
=
5
(iii)
x
=
(
6
13
y
+
95
13
)
(iv)
y
=
(
−
5
)
(v)
y
=
(
−
6
13
x
−
35
13
)
Question
28
28.
Which of the displayed lines represent the equation
(
3
x
−
3
y
+
9
)
=
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
29
29.
Which of the displayed lines represent the equation
y
=
(
−
7
)
(i)
line with point
Q
(ii)
line with point
R
(iii)
line with point
P
(iv)
line with point
N
(v)
line with point
O
Question
30
30.
Which of the displayed lines represent the equation
x
=
2
(i)
line with point
S
(ii)
line with point
P
(iii)
line with point
R
(iv)
line with point
O
(v)
line with point
Q
Question
31
31.
Which of the displayed lines represent the equation
y
=
(
x
+
4
)
(i)
line with point
R
(ii)
line with point
P
(iii)
line with point
S
(iv)
line with point
Q
(v)
line with point
O
Question
32
32.
Which of the displayed lines represent the equation
y
=
3
x
(i)
line with point
S
(ii)
line with point
P
(iii)
line with point
R
(iv)
line with point
Q
(v)
line with point
O
Assignment Key
1) (iii)
2) (ii)
3) (i)
4) (iii)
5) (i)
6) (i)
7) (iii)
8) (iii)
9) (i)
10) (iii)
11) (iii)
12) (iii)
13) (v)
14) (iv)
15) (ii)
16) (i)
17) (v)
18) (ii)
19) (iv)
20) (v)
21) (ii)
22) (i)
23) (iii)
24) (i)
25) (iv)
26) (iv)
27) (ii)
28) (ii)
29) (iv)
30) (iv)
31) (v)
32) (v)