EduSahara™ Assignment
Name : Graphs of Linear Equations
Chapter : Co-ordinate Geometry
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Find the equation of the displayed line
(i)
3
y
=
5
(ii)
y
=
4
(iii)
x
=
5
(iv)
y
=
5
(v)
y
=
6
Question
2
2.
Find the equation of the displayed line
(i)
y
=
(
−
3
)
(ii)
x
=
(
−
3
)
(iii)
x
=
(
−
2
)
(iv)
x
=
(
−
4
)
(v)
4
x
=
(
−
3
)
Question
3
3.
Find the equation of the line passing through the points
(
8
,
4
)
and
(
3
,
(
−
2
)
)
(i)
(
−
7
x
+
5
y
+
28
)
=
0
(ii)
(
−
6
x
+
5
y
+
23
)
=
0
(iii)
(
−
6
x
+
5
y
+
28
)
=
0
(iv)
(
−
6
x
+
5
y
+
34
)
=
0
(v)
(
−
5
x
+
5
y
+
28
)
=
0
Question
4
4.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
x
=
0
(ii)
x
=
m
y
+
c
(iii)
y
=
0
(iv)
y
=
m
x
(v)
y
=
m
x
+
c
Question
5
5.
The equation of the line with slope
m
≠
0 and y-intercept
c
≠
0 is
(i)
x
=
m
y
+
c
(ii)
y
=
m
x
+
c
(iii)
y
=
0
(iv)
y
=
m
x
(v)
x
=
0
Question
6
6.
The equation of the line passing through the points
(
(
−
5
)
,
4
)
and
(
2
,
2
)
is
(i)
(
−
10
x
−
y
−
46
)
=
0
(ii)
(
−
2
x
−
7
y
+
18
)
=
0
(iii)
(
4
x
−
5
y
−
14
)
=
0
(iv)
(
−
8
x
+
6
y
+
4
)
=
0
Question
7
7.
The equation of x-axis is
(i)
y
=
0
(ii)
x
=
0
(iii)
y
=
x
(iv)
y
=
1
(v)
x
=
1
Question
8
8.
The equation of y-axis is
(i)
y
=
1
(ii)
x
=
0
(iii)
y
=
0
(iv)
x
=
1
(v)
y
=
x
Question
9
9.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
a vertical line
(iii)
an oblique line
(iv)
a curved line
Question
10
10.
A line which is neither parallel to x-axis nor y-axis is
(i)
a curved line
(ii)
a vertical line
(iii)
a horizontal line
(iv)
an oblique line
Question
11
11.
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 = mx +
2
d)
Equation of the line passing through origin is
y
=
m
x
+
c
(i)
{c,d,a}
(ii)
{c,a}
(iii)
{a,b}
(iv)
{c,b,a}
(v)
{d,b}
Question
12
12.
The point of intersection of x-axis and y-axis
(i)
(
1
,
0
)
(ii)
(
4
,
0
)
(iii)
(
1
,
1
)
(iv)
(
0
,
2
)
(v)
(
0
,
0
)
Question
13
13.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
k
(ii)
y
=
0
(iii)
x
=
y
(iv)
y
=
k
(v)
x
=
0
Question
14
14.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
x
=
y
(ii)
y
=
0
(iii)
x
=
k
(iv)
x
=
0
(v)
y
=
k
Question
15
15.
The equation of the line in slope intercept form is
a)
x
=
m
y
+
c
b)
y
=
c
x
+
m
c)
x
=
c
y
+
m
d)
y
=
m
x
+
c
(i)
{d}
(ii)
{a,d}
(iii)
{b,d}
(iv)
{c,a,d}
Question
16
16.
The equation of the x-axis is
a)
y
=
0
b)
x
=
0
c)
y
=
1
d)
x
=
y
e)
x
=
1
(i)
{c,a}
(ii)
{d,e,a}
(iii)
{a}
(iv)
{b,a}
Question
17
17.
Which of the following lines pass through the origin?
(i)
(
−
6
x
+
3
y
−
18
)
=
0
(ii)
(
14
x
+
5
y
−
54
)
=
0
(iii)
(
8
x
−
y
)
=
0
(iv)
(
−
3
x
−
8
y
−
30
)
=
0
(v)
(
−
5
x
−
10
)
=
0
Question
18
18.
Which of the following lines do not pass through the origin?
(i)
(
2
x
+
11
y
+
93
)
=
0
(ii)
(
3
x
+
5
y
)
=
0
(iii)
(
x
−
6
y
)
=
0
(iv)
(
−
x
−
y
)
=
0
(v)
(
−
7
x
+
8
y
)
=
0
Question
19
19.
Find the set of points satisfying the equation
(
−
8
x
+
12
y
+
20
)
=
0
(i)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
7
3
)
)
,
(
(
−
2
)
,
(
−
11
3
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
3
)
)
(ii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
7
3
)
)
,
(
0
,
(
−
5
3
)
)
,
(
1
,
(
−
1
)
)
,
(
4
,
5
3
)
(iii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
7
3
)
)
,
(
0
,
(
−
5
3
)
)
,
(
0
,
0
)
,
(
2
,
(
−
1
3
)
)
(iv)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
7
3
)
)
,
(
1
,
(
−
8
3
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
3
)
)
(v)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
7
3
)
)
,
(
0
,
(
−
5
3
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
3
)
)
Question
20
20.
Find the set of points satisfying the equation
y
=
(
−
5
16
x
−
19
16
)
(i)
(
(
−
2
)
,
(
−
9
16
)
)
,
(
(
−
1
)
,
(
−
7
8
)
)
,
(
0
,
(
−
19
16
)
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
29
16
)
)
(ii)
(
(
−
2
)
,
(
−
9
16
)
)
,
(
(
−
1
)
,
(
−
7
8
)
)
,
(
0
,
(
−
19
16
)
)
,
(
1
,
(
−
3
2
)
)
,
(
4
,
3
16
)
(iii)
(
(
−
2
)
,
(
−
9
16
)
)
,
(
(
−
1
)
,
(
−
7
8
)
)
,
(
1
,
(
−
35
16
)
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
29
16
)
)
(iv)
(
(
−
2
)
,
(
−
9
16
)
)
,
(
(
−
1
)
,
(
−
7
8
)
)
,
(
(
−
2
)
,
(
−
51
16
)
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
29
16
)
)
(v)
(
(
−
2
)
,
(
−
9
16
)
)
,
(
(
−
1
)
,
(
−
7
8
)
)
,
(
0
,
(
−
19
16
)
)
,
(
0
,
(
−
1
2
)
)
,
(
2
,
(
−
29
16
)
)
Question
21
21.
Find the set of points satisfying the equation
x
=
(
4
3
y
−
4
3
)
(i)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
1
4
)
,
(
0
,
1
)
,
(
0
,
11
4
)
,
(
2
,
5
2
)
(ii)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
1
4
)
,
(
1
,
0
)
,
(
1
,
7
4
)
,
(
2
,
5
2
)
(iii)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
1
4
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
1
,
7
4
)
,
(
2
,
5
2
)
(iv)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
1
4
)
,
(
0
,
1
)
,
(
1
,
7
4
)
,
(
4
,
9
2
)
(v)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
1
4
)
,
(
0
,
1
)
,
(
1
,
7
4
)
,
(
2
,
5
2
)
Question
22
22.
Find the set of points satisfying the equation
y
=
10
x
(i)
(
(
−
2
)
,
(
−
20
)
)
,
(
(
−
1
)
,
(
−
10
)
)
,
(
0
,
0
)
,
(
1
,
10
)
,
(
4
,
22
)
(ii)
(
(
−
2
)
,
(
−
20
)
)
,
(
(
−
1
)
,
(
−
10
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
10
)
,
(
2
,
20
)
(iii)
(
(
−
2
)
,
(
−
20
)
)
,
(
(
−
1
)
,
(
−
10
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
10
)
,
(
2
,
20
)
(iv)
(
(
−
2
)
,
(
−
20
)
)
,
(
(
−
1
)
,
(
−
10
)
)
,
(
0
,
0
)
,
(
1
,
10
)
,
(
2
,
20
)
(v)
(
(
−
2
)
,
(
−
20
)
)
,
(
(
−
1
)
,
(
−
10
)
)
,
(
0
,
0
)
,
(
0
,
11
)
,
(
2
,
20
)
Question
23
23.
Find the set of points satisfying the equation
(
3
x
+
2
y
−
1
)
=
0
(i)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
5
2
)
)
(ii)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
)
)
,
(
4
,
(
−
1
2
)
)
(iii)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
1
2
)
,
(
0
,
0
)
,
(
2
,
(
−
5
2
)
)
(iv)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
5
2
)
)
(v)
(
(
−
2
)
,
7
2
)
,
(
(
−
1
)
,
2
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
5
2
)
)
Question
24
24.
Find the set of points satisfying the equation
y
=
1
(i)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
)
,
(
0
,
1
)
,
(
1
,
1
)
,
(
2
,
1
)
(ii)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
1
,
1
)
,
(
2
,
1
)
(iii)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
)
,
(
0
,
1
)
,
(
0
,
2
)
,
(
2
,
1
)
(iv)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
)
,
(
0
,
1
)
,
(
1
,
1
)
,
(
4
,
3
)
(v)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
)
,
(
1
,
0
)
,
(
1
,
1
)
,
(
2
,
1
)
Question
25
25.
Find the set of points satisfying the equation
x
=
(
−
8
)
(i)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
(ii)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
6
)
,
4
)
(iii)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
9
)
,
2
)
,
(
(
−
8
)
,
2
)
(iv)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
(v)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
10
)
,
(
−
2
)
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
Question
26
26.
Which of the following equations satisfy the given points
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
3
)
,
(
0
,
(
−
1
3
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
5
3
)
)
?
(i)
(
6
x
+
4
y
−
3
)
=
0
(ii)
y
=
(
−
1
)
(iii)
x
=
(
−
7
)
(iv)
(
−
4
x
−
6
y
−
2
)
=
0
(v)
x
=
(
2
3
y
−
19
3
)
Question
27
27.
Which of the following equations satisfy the given points
(
(
−
2
)
,
51
5
)
,
(
(
−
1
)
,
137
15
)
,
(
0
,
121
15
)
,
(
1
,
7
)
,
(
2
,
89
15
)
?
(i)
(
9
x
+
16
y
−
4
)
=
0
(ii)
y
=
7
(iii)
x
=
1
(iv)
x
=
(
16
15
y
−
97
15
)
(v)
y
=
(
−
16
15
x
+
121
15
)
Question
28
28.
Which of the following equations satisfy the given points
(
(
−
2
)
,
10
9
)
,
(
(
−
1
)
,
13
18
)
,
(
0
,
1
3
)
,
(
1
,
(
−
1
18
)
)
,
(
2
,
(
−
4
9
)
)
?
(i)
(
−
14
x
−
15
y
−
7
)
=
0
(ii)
x
=
(
14
15
y
−
43
5
)
(iii)
y
=
(
−
14
15
x
+
16
5
)
(iv)
(
7
x
+
18
y
−
6
)
=
0
(v)
x
=
(
−
3
)
Question
29
29.
Which of the following equations satisfy the given points
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
1
,
7
)
,
(
2
,
7
)
?
(i)
y
=
(
−
15
8
x
+
191
8
)
(ii)
(
−
15
x
−
8
y
−
27
)
=
0
(iii)
y
=
7
(iv)
(
7
x
+
4
y
−
3
)
=
0
(v)
x
=
9
Question
30
30.
Which of the following equations satisfy the given points
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
0
)
,
(
1
,
1
)
,
(
1
,
2
)
?
(i)
x
=
1
(ii)
y
=
(
−
5
9
x
+
50
9
)
(iii)
x
=
(
5
9
y
−
16
9
)
(iv)
y
=
5
(v)
(
−
5
x
−
9
y
+
3
)
=
0
Question
31
31.
Which of the displayed lines represent the equation
(
4
x
−
3
y
+
4
)
=
0
?
(i)
line with point
X
(ii)
line with point
T
(iii)
line with point
U
(iv)
line with point
V
(v)
line with point
W
Question
32
32.
Which of the displayed lines represent the equation
y
=
(
−
1
)
(i)
line with point
T
(ii)
line with point
R
(iii)
line with point
U
(iv)
line with point
S
(v)
line with point
V
Question
33
33.
Which of the displayed lines represent the equation
x
=
(
−
3
)
(i)
line with point
M
(ii)
line with point
Q
(iii)
line with point
O
(iv)
line with point
N
(v)
line with point
P
Question
34
34.
Which of the displayed lines represent the equation
y
=
(
x
+
2
)
(i)
line with point
R
(ii)
line with point
Q
(iii)
line with point
T
(iv)
line with point
U
(v)
line with point
S
Question
35
35.
Which of the displayed lines represent the equation
y
=
3
2
x
(i)
line with point
Q
(ii)
line with point
T
(iii)
line with point
R
(iv)
line with point
U
(v)
line with point
S
Assignment Key
1) (iv)
2) (ii)
3) (iii)
4) (iv)
5) (ii)
6) (ii)
7) (i)
8) (ii)
9) (i)
10) (iv)
11) (iii)
12) (v)
13) (iv)
14) (iii)
15) (i)
16) (iii)
17) (iii)
18) (i)
19) (v)
20) (i)
21) (v)
22) (iv)
23) (i)
24) (i)
25) (iv)
26) (iv)
27) (v)
28) (iv)
29) (iii)
30) (i)
31) (ii)
32) (ii)
33) (i)
34) (ii)
35) (i)
