EduSahara™ Assignment
Name : Equation of a Straight Line
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
x
=
m
y
+
c
(ii)
y
=
m
x
(iii)
y
=
0
(iv)
x
=
0
(v)
y
=
m
x
+
c
Question
2
2.
The equation of the line with slope
m
≠
0 and y-intercept
c
≠
0 is
(i)
y
=
m
x
+
c
(ii)
x
=
0
(iii)
y
=
0
(iv)
y
=
m
x
(v)
x
=
m
y
+
c
Question
3
3.
Find the y-intercept of the line
(
−
5
x
−
10
y
−
15
)
=
0
(i)
(
-3
2
)
(ii)
(
-1
2
)
(iii)
(
-5
2
)
(iv)
(
-3
4
)
(v)
-3
Question
4
4.
Any line parallel to x-axis is
(i)
a curved line
(ii)
a horizontal line
(iii)
an oblique line
(iv)
a vertical line
Question
5
5.
Any line parallel to y-axis is
(i)
a curved line
(ii)
a horizontal line
(iii)
an oblique line
(iv)
a vertical line
Question
6
6.
A line which is neither parallel to x-axis nor y-axis is
(i)
a vertical line
(ii)
a curved line
(iii)
a horizontal line
(iv)
an oblique line
Question
7
7.
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 abscissa of every point on y-axis is zero
d)
The ordinate of every point on x-axis is zero
(i)
{a,c}
(ii)
{b,d}
(iii)
{a,d,c}
(iv)
{c,d}
(v)
{a,b,c}
Question
8
8.
Equation of the line passing through a given point
(
x
1
,
y
1
)
and having slope
m
is
a)
(
y
−
y
1
) =
m
(
x
−
x
1
)
b)
(
y
−
y
1
)
m
= (
x
−
x
1
)
c)
(
y
−
x
1
) =
m
(
x
−
y
1
)
d)
None of the above
(i)
{a}
(ii)
{b,a}
(iii)
{c,a}
(iv)
{d,b,a}
Question
9
9.
The coordinates of the origin are
(i)
(
0
,
0
)
(ii)
(
1
,
0
)
(iii)
(
1
,
1
)
(iv)
(
0
,
1
)
Question
10
10.
The point of intersection of x-axis and y-axis
(i)
(
4
,
0
)
(ii)
(
1
,
0
)
(iii)
(
1
,
1
)
(iv)
(
0
,
0
)
(v)
(
0
,
1
)
Question
11
11.
The line
(
8
x
+
10
y
−
7
)
=
0
bisects which of the following pairs of points?
(i)
(
3
,
6
)
,
(
(
−
3
)
,
(
−
1
)
)
(ii)
(
(
−
1
)
,
2
)
,
(
(
−
3
)
,
(
−
1
)
)
(iii)
(
1
,
4
)
,
(
(
−
4
)
,
0
)
(iv)
(
1
,
4
)
,
(
(
−
3
)
,
(
−
1
)
)
(v)
(
2
,
3
)
,
(
(
−
3
)
,
(
−
1
)
)
Question
12
12.
Which of the following lines pass through the origin?
(i)
(
x
−
6
y
−
47
)
=
0
(ii)
(
−
x
+
14
y
−
62
)
=
0
(iii)
(
5
x
−
8
y
)
=
0
(iv)
(
12
x
−
3
y
−
81
)
=
0
(v)
(
−
12
x
−
5
y
−
52
)
=
0
Question
13
13.
Which of the following lines do not pass through the origin?
(i)
(
−
x
+
4
y
−
4
)
=
0
(ii)
(
−
2
x
−
8
y
)
=
0
(iii)
(
−
x
+
8
y
)
=
0
(iv)
(
5
x
+
5
y
)
=
0
(v)
(
8
x
−
7
y
)
=
0
Question
14
14.
Find the set of points satisfying the equation
(
−
8
x
−
2
y
−
64
)
=
0
(i)
(
(
−
2
)
,
(
−
24
)
)
,
(
(
−
1
)
,
(
−
28
)
)
,
(
0
,
(
−
32
)
)
,
(
1
,
(
−
36
)
)
,
(
4
,
(
−
38
)
)
(ii)
(
(
−
2
)
,
(
−
24
)
)
,
(
(
−
1
)
,
(
−
28
)
)
,
(
(
−
2
)
,
(
−
34
)
)
,
(
1
,
(
−
36
)
)
,
(
2
,
(
−
40
)
)
(iii)
(
(
−
2
)
,
(
−
24
)
)
,
(
(
−
1
)
,
(
−
28
)
)
,
(
0
,
(
−
32
)
)
,
(
0
,
(
−
35
)
)
,
(
2
,
(
−
40
)
)
(iv)
(
(
−
2
)
,
(
−
24
)
)
,
(
(
−
1
)
,
(
−
28
)
)
,
(
0
,
(
−
32
)
)
,
(
1
,
(
−
36
)
)
,
(
2
,
(
−
40
)
)
(v)
(
(
−
2
)
,
(
−
24
)
)
,
(
(
−
1
)
,
(
−
28
)
)
,
(
1
,
(
−
33
)
)
,
(
1
,
(
−
36
)
)
,
(
2
,
(
−
40
)
)
Question
15
15.
Find the set of points satisfying the equation
y
=
(
11
6
x
+
13
6
)
(i)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
1
3
)
,
(
0
,
13
6
)
,
(
0
,
5
)
,
(
2
,
35
6
)
(ii)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
1
3
)
,
(
(
−
2
)
,
1
6
)
,
(
1
,
4
)
,
(
2
,
35
6
)
(iii)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
1
3
)
,
(
0
,
13
6
)
,
(
1
,
4
)
,
(
4
,
47
6
)
(iv)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
1
3
)
,
(
1
,
7
6
)
,
(
1
,
4
)
,
(
2
,
35
6
)
(v)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
1
3
)
,
(
0
,
13
6
)
,
(
1
,
4
)
,
(
2
,
35
6
)
Question
16
16.
Find the set of points satisfying the equation
x
=
(
−
8
11
y
+
23
11
)
(i)
(
(
−
2
)
,
45
8
)
,
(
(
−
1
)
,
17
4
)
,
(
0
,
23
8
)
,
(
0
,
5
2
)
,
(
2
,
1
8
)
(ii)
(
(
−
2
)
,
45
8
)
,
(
(
−
1
)
,
17
4
)
,
(
(
−
2
)
,
7
8
)
,
(
1
,
3
2
)
,
(
2
,
1
8
)
(iii)
(
(
−
2
)
,
45
8
)
,
(
(
−
1
)
,
17
4
)
,
(
0
,
23
8
)
,
(
1
,
3
2
)
,
(
2
,
1
8
)
(iv)
(
(
−
2
)
,
45
8
)
,
(
(
−
1
)
,
17
4
)
,
(
1
,
15
8
)
,
(
1
,
3
2
)
,
(
2
,
1
8
)
(v)
(
(
−
2
)
,
45
8
)
,
(
(
−
1
)
,
17
4
)
,
(
0
,
23
8
)
,
(
1
,
3
2
)
,
(
4
,
17
8
)
Question
17
17.
Find the set of points satisfying the equation
y
=
(
−
7
6
x
)
(i)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
7
6
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
7
6
)
)
,
(
2
,
(
−
7
3
)
)
(ii)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
7
6
)
,
(
0
,
0
)
,
(
0
,
(
−
1
6
)
)
,
(
2
,
(
−
7
3
)
)
(iii)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
7
6
)
,
(
0
,
0
)
,
(
1
,
(
−
7
6
)
)
,
(
2
,
(
−
7
3
)
)
(iv)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
7
6
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
7
6
)
)
,
(
2
,
(
−
7
3
)
)
(v)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
7
6
)
,
(
0
,
0
)
,
(
1
,
(
−
7
6
)
)
,
(
4
,
(
−
1
3
)
)
Question
18
18.
Find the set of points satisfying the equation
(
27
x
+
40
y
−
15
)
=
0
(i)
(
(
−
2
)
,
69
40
)
,
(
(
−
1
)
,
21
20
)
,
(
0
,
3
8
)
,
(
1
,
(
−
3
10
)
)
,
(
2
,
(
−
39
40
)
)
(ii)
(
(
−
2
)
,
69
40
)
,
(
(
−
1
)
,
21
20
)
,
(
1
,
(
−
5
8
)
)
,
(
1
,
(
−
3
10
)
)
,
(
2
,
(
−
39
40
)
)
(iii)
(
(
−
2
)
,
69
40
)
,
(
(
−
1
)
,
21
20
)
,
(
(
−
2
)
,
(
−
13
8
)
)
,
(
1
,
(
−
3
10
)
)
,
(
2
,
(
−
39
40
)
)
(iv)
(
(
−
2
)
,
69
40
)
,
(
(
−
1
)
,
21
20
)
,
(
0
,
3
8
)
,
(
0
,
7
10
)
,
(
2
,
(
−
39
40
)
)
(v)
(
(
−
2
)
,
69
40
)
,
(
(
−
1
)
,
21
20
)
,
(
0
,
3
8
)
,
(
1
,
(
−
3
10
)
)
,
(
4
,
41
40
)
Question
19
19.
Find the set of points satisfying the equation
y
=
5
(i)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
1
,
5
)
,
(
2
,
5
)
(ii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
1
,
5
)
,
(
4
,
7
)
(iii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
1
,
4
)
,
(
1
,
5
)
,
(
2
,
5
)
(iv)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
0
,
6
)
,
(
2
,
5
)
(v)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
(
−
2
)
,
3
)
,
(
1
,
5
)
,
(
2
,
5
)
Question
20
20.
Find the set of points satisfying the equation
x
=
(
−
7
)
(i)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
8
)
,
2
)
,
(
(
−
7
)
,
2
)
(ii)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
(iii)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
7
)
,
1
)
,
(
(
−
5
)
,
4
)
(iv)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
6
)
,
(
−
1
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
(v)
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
9
)
,
(
−
2
)
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
Question
21
21.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
5
3
)
)
,
(
(
−
1
)
,
(
−
23
9
)
)
,
(
0
,
(
−
31
9
)
)
,
(
1
,
(
−
13
3
)
)
,
(
2
,
(
−
47
9
)
)
?
(i)
y
=
0
(ii)
(
−
8
x
−
9
y
−
31
)
=
0
(iii)
x
=
(
8
9
y
+
9
)
(iv)
x
=
9
(v)
(
8
x
+
15
y
−
3
)
=
0
Question
22
22.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
127
11
)
)
,
(
(
−
1
)
,
(
−
134
11
)
)
,
(
0
,
(
−
141
11
)
)
,
(
1
,
(
−
148
11
)
)
,
(
2
,
(
−
155
11
)
)
?
(i)
x
=
(
7
11
y
−
3
11
)
(ii)
x
=
(
−
6
)
(iii)
(
−
7
x
−
11
y
+
34
)
=
0
(iv)
(
9
x
+
7
y
−
6
)
=
0
(v)
y
=
(
−
7
11
x
−
141
11
)
Question
23
23.
Which of the following equations satisfy the given points
(
(
−
2
)
,
20
9
)
,
(
(
−
1
)
,
25
18
)
,
(
0
,
5
9
)
,
(
1
,
(
−
5
18
)
)
,
(
2
,
(
−
10
9
)
)
?
(i)
x
=
8
(ii)
(
15
x
+
18
y
−
10
)
=
0
(iii)
x
=
(
3
4
y
+
2
)
(iv)
y
=
8
(v)
y
=
(
−
3
4
x
+
14
)
Question
24
24.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
?
(i)
x
=
(
2
5
y
+
54
5
)
(ii)
(
−
4
x
−
10
y
−
26
)
=
0
(iii)
y
=
(
−
2
5
x
−
19
5
)
(iv)
x
=
8
(v)
y
=
(
−
7
)
Question
25
25.
Which of the following equations satisfy the given points
(
6
,
(
−
2
)
)
,
(
6
,
(
−
1
)
)
,
(
6
,
0
)
,
(
6
,
1
)
,
(
6
,
2
)
?
(i)
(
2
x
+
4
y
−
1
)
=
0
(ii)
y
=
(
−
6
7
x
+
99
7
)
(iii)
(
−
12
x
−
14
y
+
38
)
=
0
(iv)
x
=
6
(v)
y
=
9
Question
26
26.
Which of the displayed lines represent the equation
y
=
(
−
3
)
(i)
line with point
O
(ii)
line with point
M
(iii)
line with point
P
(iv)
line with point
N
(v)
line with point
Q
Question
27
27.
Which of the displayed lines represent the equation
x
=
(
−
8
)
(i)
line with point
Q
(ii)
line with point
R
(iii)
line with point
O
(iv)
line with point
S
(v)
line with point
P
Assignment Key
1) (ii)
2) (i)
3) (i)
4) (ii)
5) (iv)
6) (iv)
7) (iv)
8) (i)
9) (i)
10) (iv)
11) (iv)
12) (iii)
13) (i)
14) (iv)
15) (v)
16) (iii)
17) (iii)
18) (i)
19) (i)
20) (ii)
21) (ii)
22) (v)
23) (ii)
24) (v)
25) (iv)
26) (ii)
27) (iii)
