EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Equation of a Straight Line
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the value of k such that the points
(
(
−
4
)
,
(
−
7
)
)
,
(
1
2
,
(
−
23
8
)
)
and
(k,4)
are collinear
(i)
8
(ii)
7
(iii)
5
(iv)
9
(v)
11
Question
2
2.
Which of the displayed lines represent the equation
y
=
3
(i)
line with point
Q
(ii)
line with point
S
(iii)
line with point
R
(iv)
line with point
T
(v)
line with point
U
Question
3
3.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
1
)
,
2
)
(i)
x
=
(
−
1
)
(ii)
y
=
4
(iii)
x
=
1
(iv)
y
=
1
(v)
y
=
2
Question
4
4.
Find the x-intercept of the line which is parallel to the line
(
−
8
x
−
2
y
−
48
)
=
0
and
making a y-intercept of
4
(i)
3
(ii)
-1
(iii)
1
(iv)
0
(v)
2
Question
5
5.
The equation of the line passing through
(
4
,
(
−
8
)
)
and perpendicular to the line
(
12
x
+
6
y
+
36
)
=
0
is
(i)
(
−
8
x
−
48
)
=
0
(ii)
(
4
x
+
6
y
+
36
)
=
0
(iii)
(
−
x
+
2
y
−
2
)
=
0
(iv)
(
−
14
x
−
10
y
−
24
)
=
0
(v)
(
−
x
+
2
y
+
20
)
=
0
Question
6
6.
The equation of the line passing through the point
(
4
,
(
−
1
)
)
and slope
(
−
3
)
is
(i)
(
11
x
+
12
y
+
18
)
=
0
(ii)
(
5
x
+
10
y
−
10
)
=
0
(iii)
(
−
12
x
−
6
y
−
48
)
=
0
(iv)
(
−
6
x
−
2
y
+
22
)
=
0
Question
7
7.
The equation of the line parallel to
(
14
x
+
y
+
50
)
=
0
and making a y-intercept of
(-4)
is
(i)
(
14
x
+
y
+
4
)
=
0
(ii)
(
−
10
x
−
4
y
−
16
)
=
0
(iii)
(
4
x
−
3
y
−
12
)
=
0
(iv)
(
−
10
y
+
60
)
=
0
(v)
(
14
x
−
9
y
−
30
)
=
0
Question
8
8.
The equation of the line passing through
(
2
,
8
)
and
having the same y-intercept as
(
5
x
+
12
y
−
32
)
=
0
is
(i)
(
−
16
3
x
+
4
y
−
16
3
)
=
0
(ii)
(
2
x
−
10
y
+
76
)
=
0
(iii)
(
−
16
x
+
2
y
−
16
3
)
=
0
(iv)
(
−
16
3
x
+
2
y
−
16
3
)
=
0
(v)
(
2
x
−
12
y
+
76
)
=
0
Question
9
9.
Two straight lines are perpendicular if and only if the product of their slopes is
(i)
90
(ii)
0
(iii)
-1
(iv)
1
(v)
undefined
Question
10
10.
Find the equation of the line through
(
(
−
3
)
,
(
−
2
)
)
and x-intercept
6
(i)
(
8
x
−
3
y
+
18
)
=
0
(ii)
(
8
x
−
y
+
18
)
=
0
(iii)
(
2
x
−
9
y
−
12
)
=
0
(iv)
(
2
x
−
7
y
−
12
)
=
0
(v)
(
x
−
9
y
−
12
)
=
0
Question
11
11.
Two straight lines are parallel if and only if their slopes are
(i)
equal
(ii)
unequal
(iii)
undefined
(iv)
0
(v)
1
Question
12
12.
Find the coordinates of the orthocentre of the triangle
whose vertices are
(
2
,
0
)
,
(
(
−
5
)
,
(
−
3
)
)
and
(
(
−
3
)
,
5
)
(i)
(
4
5
,
14
5
)
(ii)
(
(
−
1
5
)
,
(
−
1
5
)
)
(iii)
(
(
−
11
5
)
,
9
5
)
(iv)
(
(
−
6
5
)
,
4
5
)
(v)
(
(
−
16
5
)
,
(
−
6
5
)
)
Question
13
13.
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
14
14.
The equation of the line perpendicular to
(
−
7
x
+
8
y
−
17
)
=
0
and making a y-intercept of
1
is
(i)
(
−
9
y
−
36
)
=
0
(ii)
(
8
x
+
7
y
−
7
)
=
0
(iii)
(
−
7
x
−
y
+
10
)
=
0
(iv)
(
5
x
−
7
y
+
7
)
=
0
(v)
(
−
2
x
+
y
−
1
)
=
0
Question
15
15.
Find equation of the right bisector of the line segment
joining the points
(
0
,
(
−
1
)
)
and
(
5
,
(
−
7
)
)
(i)
(
−
5
x
+
6
y
+
67
)
=
0
(ii)
(
−
5
x
+
6
y
+
17
)
=
0
(iii)
(
6
x
+
5
y
−
57
)
=
0
(iv)
(
−
5
x
+
6
y
+
6
)
=
0
(v)
(
−
10
x
+
12
y
+
73
)
=
0
Question
16
16.
Which of the following pairs of lines are parallel?
(i)
(
−
8
x
+
2
y
−
38
)
=
0
,
(
x
+
4
y
−
19
)
=
0
(ii)
(
−
8
x
+
2
y
−
38
)
=
0
,
(
−
3
x
+
4
y
−
23
)
=
0
(iii)
(
−
8
x
+
2
y
−
38
)
=
0
,
(
−
8
x
+
2
y
−
60
)
=
0
(iv)
(
−
8
x
+
2
y
−
38
)
=
0
,
(
−
10
x
+
2
y
−
74
)
=
0
Question
17
17.
Find the point of intersection of
(
9
y
+
45
)
=
0
and
the line joining points
(
3
,
(
−
7
)
)
and
(
0
,
4
)
(i)
(
16
11
,
(
−
4
)
)
(ii)
(
27
11
,
(
−
5
)
)
(iii)
(
5
11
,
(
−
7
)
)
(iv)
(
38
11
,
(
−
6
)
)
(v)
(
49
11
,
(
−
3
)
)
Question
18
18.
Find the point of intersection of
(
3
x
−
15
)
=
0
and
the line joining points
(
8
,
(
−
7
)
)
and
(
(
−
8
)
,
1
)
(i)
(
3
,
(
−
15
2
)
)
(ii)
(
7
,
(
−
7
2
)
)
(iii)
(
5
,
(
−
11
2
)
)
(iv)
(
4
,
(
−
9
2
)
)
(v)
(
6
,
(
−
13
2
)
)
Question
19
19.
Find the equation of the line passing through the points
(
(
−
1
)
,
2
)
and
(
(
−
4
)
,
(
−
5
)
)
(i)
(
−
7
x
+
3
y
−
13
)
=
0
(ii)
(
−
6
x
+
3
y
−
13
)
=
0
(iii)
(
−
8
x
+
3
y
−
13
)
=
0
(iv)
(
−
7
x
+
3
y
−
6
)
=
0
(v)
(
−
7
x
+
3
y
−
16
)
=
0
Question
20
20.
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
+
c
(iii)
y
=
m
x
(iv)
y
=
0
(v)
x
=
0
Question
21
21.
Which of the following lines do not pass through the origin?
(i)
(
−
2
x
−
3
y
)
=
0
(ii)
(
6
x
+
8
y
)
=
0
(iii)
(
x
−
5
y
)
=
0
(iv)
(
5
x
+
13
y
+
72
)
=
0
(v)
(
−
4
x
+
4
y
)
=
0
Question
22
22.
The equation of the x-axis is
a)
y
=
0
b)
x
=
0
c)
y
=
1
d)
x
=
1
e)
x
=
y
(i)
{a}
(ii)
{b,a}
(iii)
{d,e,a}
(iv)
{c,a}
Question
23
23.
In equation of the line
y
=
m
x
+
c
, the slope is
(i)
x
(ii)
undefined
(iii)
m
(iv)
y
(v)
c
Question
24
24.
Find the equation perpendicular to the given equation
(
5
x
+
6
y
−
1
)
=
0
(i)
(
5
x
+
6
y
−
7
)
=
0
(ii)
(
−
11
x
+
5
y
+
73
)
=
0
(iii)
(
−
6
x
+
5
y
+
23
)
=
0
(iv)
(
−
x
+
6
y
+
14
)
=
0
Question
25
25.
Find the equation of the line through
(
4
,
6
)
and y-intercept
2
(i)
(
−
4
x
+
6
y
−
8
)
=
0
(ii)
(
−
5
x
+
4
y
−
8
)
=
0
(iii)
(
−
6
x
+
5
y
+
12
)
=
0
(iv)
(
−
6
x
+
2
y
+
12
)
=
0
(v)
(
−
4
x
+
4
y
−
8
)
=
0
Assignment Key
1) (i)
2) (i)
3) (v)
4) (iii)
5) (v)
6) (iv)
7) (i)
8) (iv)
9) (iii)
10) (iii)
11) (i)
12) (iv)
13) (i)
14) (ii)
15) (v)
16) (iii)
17) (ii)
18) (iii)
19) (i)
20) (iii)
21) (iv)
22) (i)
23) (iii)
24) (iii)
25) (v)
