EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Equation of a Straight Line
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The slope of the line joining the points
(
(
−
8
)
,
1
)
and
(
0
,
(
−
7
)
)
is
(i)
2
(ii)
0
(iii)
-4
(iv)
-2
(v)
-1
Question
2
2.
Which of the displayed lines represent the equation
y
=
(
−
5
)
(i)
line with point
R
(ii)
line with point
S
(iii)
line with point
Q
(iv)
line with point
T
(v)
line with point
U
Question
3
3.
The slope of any line parallel to x-axis is
(i)
undefined
(ii)
zero
(iii)
1
(iv)
90
(v)
-1
Question
4
4.
Find the equation of the line through
(
1
,
(
−
3
)
)
and x-intercept
4
(i)
(
3
x
−
12
)
=
0
(ii)
(
7
x
+
y
−
4
)
=
0
(iii)
(
7
x
+
4
y
−
4
)
=
0
(iv)
(
3
x
−
3
y
−
12
)
=
0
(v)
(
2
x
−
3
y
−
12
)
=
0
Question
5
5.
Find the point of intersection of
(
−
x
+
4
)
=
0
and
the line joining points
(
(
−
5
)
,
(
−
4
)
)
and
(
(
−
8
)
,
(
−
1
)
)
(i)
(
6
,
(
−
11
)
)
(ii)
(
3
,
(
−
12
)
)
(iii)
(
5
,
(
−
14
)
)
(iv)
(
2
,
(
−
15
)
)
(v)
(
4
,
(
−
13
)
)
Question
6
6.
The equation of the line passing through
(
2
,
8
)
and
having the same y-intercept as
(
5
x
−
3
y
−
41
)
=
0
is
(i)
(
−
65
3
x
+
2
y
+
82
3
)
=
0
(ii)
(
−
65
x
+
2
y
+
82
3
)
=
0
(iii)
(
−
65
3
x
+
4
y
+
82
3
)
=
0
(iv)
(
10
x
+
2
y
−
60
)
=
0
(v)
(
10
x
+
5
y
−
60
)
=
0
Question
7
7.
Which of the displayed lines represent the equation
y
=
(
3
5
x
+
4
5
)
(i)
line with point
V
(ii)
line with point
R
(iii)
line with point
S
(iv)
line with point
T
(v)
line with point
U
Question
8
8.
The points B
(
1
,
10
)
and D
(
(
−
7
)
,
10
)
are the opposite vertices
of a square ABCD. Find the equation of the diagonal AC
(i)
(
8
y
−
82
)
=
0
(ii)
(
8
x
+
27
)
=
0
(iii)
(
7
x
+
24
)
=
0
(iv)
(
8
x
+
24
)
=
0
(v)
(
8
y
−
80
)
=
0
Question
9
9.
Which of the displayed lines represent the equation
y
=
9
7
x
(i)
line with point
T
(ii)
line with point
V
(iii)
line with point
X
(iv)
line with point
U
(v)
line with point
W
Question
10
10.
Find the equation of the line passing through the points
(
1
,
4
)
and
(
(
−
4
)
,
8
)
(i)
(
5
x
+
5
y
−
24
)
=
0
(ii)
(
4
x
+
5
y
−
28
)
=
0
(iii)
(
3
x
+
5
y
−
24
)
=
0
(iv)
(
4
x
+
5
y
−
29
)
=
0
(v)
(
4
x
+
5
y
−
24
)
=
0
Question
11
11.
Equation of the line passing through
(
4
,
5
)
and the point of intersection
of lines
(
−
12
x
+
8
y
−
40
)
=
0
and
(
−
11
x
+
9
y
−
50
)
=
0
(i)
(
2
x
+
2
y
−
22
)
=
0
(ii)
(
3
x
+
5
y
−
22
)
=
0
(iii)
(
8
x
−
5
y
)
=
0
(iv)
(
8
x
−
2
y
)
=
0
(v)
(
3
x
+
2
y
−
22
)
=
0
Question
12
12.
Find the equation parallel to the given equation
(
−
7
x
+
5
y
−
4
)
=
0
(i)
(
−
12
x
+
5
y
+
2
)
=
0
(ii)
(
5
x
+
7
y
+
68
)
=
0
(iii)
(
−
7
x
+
5
y
)
=
0
(iv)
(
−
2
x
+
7
y
+
23
)
=
0
Question
13
13.
Find the y-intercept of the displayed line
(i)
1
2
(ii)
2
3
(iii)
(
-1
1
2
)
(iv)
(
-1
3
)
Question
14
14.
Find the equation of the line which is parallel to the line
(
−
4
x
+
4
y
−
12
)
=
0
and
making a y-intercept of
(-6)
(i)
(
4
x
+
y
+
24
)
=
0
(ii)
(
−
4
x
+
6
y
+
24
)
=
0
(iii)
(
−
4
x
+
4
y
+
24
)
=
0
(iv)
(
4
x
+
4
y
+
24
)
=
0
(v)
(
−
5
x
+
4
y
+
24
)
=
0
Question
15
15.
The equation of the line passing through
(
8
,
(
−
2
)
)
and parallel to the join of points
(
6
,
0
)
and
(
(
−
1
)
,
(
−
3
)
)
is
(i)
(
−
7
x
+
4
y
+
42
)
=
0
(ii)
(
−
5
x
+
6
y
+
52
)
=
0
(iii)
(
−
3
x
+
7
y
+
38
)
=
0
(iv)
(
−
2
x
−
2
y
+
12
)
=
0
(v)
(
x
−
9
y
−
26
)
=
0
Question
16
16.
Find equation of the right bisector of the line segment
joining the points
(
2
,
2
)
and
(
(
−
7
)
,
4
)
(i)
(
2
x
+
9
y
+
41
)
=
0
(ii)
(
−
18
x
+
4
y
−
57
)
=
0
(iii)
(
−
9
x
+
2
y
+
14
)
=
0
(iv)
(
−
9
x
+
2
y
−
71
)
=
0
(v)
(
−
9
x
+
2
y
−
57
)
=
0
Question
17
17.
Which of the following equations satisfy the given points
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
13
3
)
,
(
0
,
8
3
)
,
(
1
,
1
)
,
(
2
,
(
−
2
3
)
)
?
(i)
x
=
(
5
3
y
−
6
)
(ii)
y
=
3
(iii)
(
3
x
+
3
y
−
1
)
=
0
(iv)
(
−
10
x
−
6
y
+
16
)
=
0
(v)
y
=
(
−
5
3
x
+
4
3
)
Question
18
18.
The slope of a line parallel to the line
(
−
5
x
+
y
−
13
)
=
0
is
(i)
4
(ii)
5
(iii)
3
(iv)
6
(v)
7
Question
19
19.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
0
(ii)
y
=
m
x
+
c
(iii)
y
=
m
x
(iv)
x
=
0
(v)
x
=
m
y
+
c
Question
20
20.
Which of the following sets of points are collinear?
(i)
(
(
−
8
)
,
(
−
8
)
)
,
(
(
−
4
)
,
0
)
,
(
(
−
5
)
,
2
)
(ii)
(
2
,
7
)
,
(
(
−
5
)
,
5
)
,
(
1
,
5
)
(iii)
(
0
,
(
−
3
)
)
,
(
0
,
(
−
8
)
)
,
(
(
−
2
)
,
5
)
(iv)
(
(
−
7
)
,
2
)
,
(
2
,
(
−
8
)
)
,
(
(
−
37
13
)
,
(
−
34
13
)
)
(v)
(
(
−
6
)
,
(
−
8
)
)
,
(
(
−
1
)
,
6
)
,
(
(
−
4
)
,
7
)
Question
21
21.
The equation of the line passing through the points
(
1
,
6
)
and
(
(
−
5
)
,
0
)
is
(i)
(
−
14
x
+
4
y
−
10
)
=
0
(ii)
(
−
8
x
−
2
y
−
40
)
=
0
(iii)
(
−
6
x
+
6
y
−
30
)
=
0
(iv)
(
16
x
−
8
y
−
16
)
=
0
Question
22
22.
The equation of the line with slope
(
−
3
)
and y-intercept
20
is
(i)
(
9
x
+
3
y
−
60
)
=
0
(ii)
(
−
12
x
+
8
y
−
16
)
=
0
(iii)
(
−
3
x
+
11
y
+
32
)
=
0
(iv)
(
4
x
−
3
y
+
4
)
=
0
Question
23
23.
The equation of the line in point slope form is
a)
(
y
1
−
y
)
m
= (
x
1
+
x
)
b)
(
y
−
y
1
) =
m
(
x
−
x
1
)
c)
(
y
−
x
1
) =
m
(
x
−
y
1
)
d)
(
y
−
y
1
)
m
= (
x
−
x
1
)
(i)
{c,b}
(ii)
{a,b}
(iii)
{d,a,b}
(iv)
{b}
Question
24
24.
In equation of the line
y
=
m
x
+
c
, the slope is
(i)
c
(ii)
y
(iii)
undefined
(iv)
m
(v)
x
Question
25
25.
The ratio of coefficients of x and y in the equations of any two parallel lines is
(i)
1
(ii)
same
(iii)
not proportional
(iv)
not same
(v)
2
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (iv)
5) (v)
6) (i)
7) (ii)
8) (iv)
9) (i)
10) (v)
11) (v)
12) (iii)
13) (iv)
14) (iii)
15) (iii)
16) (ii)
17) (iv)
18) (ii)
19) (iii)
20) (iv)
21) (iii)
22) (i)
23) (iv)
24) (iv)
25) (ii)
