EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Equation of a Straight Line
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The equation of the line passing through
(
0
,
8
)
and parallel to the line
(
−
3
x
+
9
y
+
33
)
=
0
is
(i)
(
−
2
x
+
4
y
+
16
)
=
0
(ii)
(
−
x
+
3
y
−
24
)
=
0
(iii)
(
x
−
5
y
−
23
)
=
0
(iv)
(
−
x
+
3
y
+
13
)
=
0
(v)
(
14
x
−
7
y
+
56
)
=
0
Question
2
2.
Find the value of k such that the points
(
(
−
9
)
,
0
)
,
(
(
−
43
7
)
,
20
7
)
and
(-4,k)
are collinear
(i)
8
(ii)
4
(iii)
5
(iv)
3
(v)
6
Question
3
3.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
0
,
(
−
5
)
)
(i)
x
=
(
−
1
)
(ii)
x
=
0
(iii)
y
=
(
−
3
)
(iv)
x
=
2
(v)
y
=
(
−
5
)
Question
4
4.
The equation of the line passing through
(
x
1
,
y
1
)
and perpendicular to the line
a
x
+
b
y
+
c
= 0
is
(i)
(
y
−
y
1
) =
a
b
(
x
−
x
1
)
(ii)
(
y
−
y
1
) =
b
a
(
x
−
x
1
)
(iii)
(
y
−
y
1
) =
c
b
(
x
−
x
1
)
(iv)
(
y
−
y
1
) =
-a
b
(
x
−
x
1
)
Question
5
5.
If
a
x
+
b
y
+
c
= 0
is a straight line, the y-intercept is
(i)
a
(ii)
b
(iii)
c
(iv)
-c
b
(v)
-c
a
Question
6
6.
Find the equation of the line passing through the points
(
4
,
(
−
7
)
)
and
(
(
−
4
)
,
6
)
(i)
(
13
x
+
8
y
+
4
)
=
0
(ii)
(
13
x
+
8
y
−
9
)
=
0
(iii)
(
13
x
+
8
y
−
4
)
=
0
(iv)
(
14
x
+
8
y
+
4
)
=
0
(v)
(
12
x
+
8
y
+
4
)
=
0
Question
7
7.
Two straight lines are parallel if and only if their slopes are
(i)
1
(ii)
unequal
(iii)
equal
(iv)
undefined
(v)
0
Question
8
8.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
x
=
0
(ii)
y
=
m
x
(iii)
y
=
m
x
+
c
(iv)
x
=
m
y
+
c
(v)
y
=
0
Question
9
9.
Find the x-intercept of the line passing
through points
(
8
,
(
−
5
)
)
and
(
9
,
(
−
1
)
)
(i)
35
4
(ii)
39
4
(iii)
-37
(iv)
19
2
(v)
9
1
4
Question
10
10.
Find the equation parallel to the given equation
(
−
2
x
+
6
y
−
4
)
=
0
(i)
(
−
2
x
+
6
y
−
11
)
=
0
(ii)
(
−
4
x
+
3
y
+
20
)
=
0
(iii)
(
3
x
+
y
)
=
0
(iv)
(
2
x
+
y
−
7
)
=
0
Question
11
11.
The equation of the line passing through
(
3
,
(
−
2
)
)
and perpendicular to the join of points
(
(
−
7
)
,
(
−
1
)
)
and
(
(
−
4
)
,
4
)
is
(i)
(
−
3
x
−
6
y
−
27
)
=
0
(ii)
(
−
x
−
10
y
−
17
)
=
0
(iii)
(
3
x
+
5
y
+
1
)
=
0
(iv)
(
−
2
x
+
4
y
+
14
)
=
0
(v)
(
−
6
x
−
7
y
+
4
)
=
0
Question
12
12.
The slope of a line is the tangent of the angle made by the line with the
(i)
negative x-axis
(ii)
negative y-axis
(iii)
positive x-axis
(iv)
positive y-axis
Question
13
13.
If
a
x
+
b
y
+
c
= 0
is a straight line, the x-intercept is
(i)
b
(ii)
-c
a
(iii)
-c
b
(iv)
a
(v)
c
Question
14
14.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
x
=
y
(ii)
x
=
0
(iii)
x
=
k
(iv)
y
=
k
(v)
y
=
0
Question
15
15.
Which of the displayed lines represent the equation
y
=
(
−
3
2
x
)
(i)
line with point
P
(ii)
line with point
N
(iii)
line with point
Q
(iv)
line with point
R
(v)
line with point
O
Question
16
16.
Which of the following lines pass through the origin?
(i)
(
6
x
−
y
)
=
0
(ii)
(
−
2
x
+
3
y
−
9
)
=
0
(iii)
(
−
5
x
+
4
y
−
19
)
=
0
(iv)
(
14
x
+
3
y
−
32
)
=
0
(v)
(
−
7
x
−
10
y
−
52
)
=
0
Question
17
17.
The slope of a line perpendicular to the line
(
10
x
−
2
y
+
36
)
=
0
is
(i)
(
-3
5
)
(ii)
1
5
(iii)
(
-1
7
)
(iv)
(
-1
5
)
(v)
(
-1
3
)
Question
18
18.
The equation of the line parallel to
(
−
2
x
+
9
y
+
7
)
=
0
and making a y-intercept of
0
is
(i)
(
x
−
y
)
=
0
(ii)
(
8
x
−
7
y
+
1
)
=
0
(iii)
(
−
x
+
8
y
)
=
0
(iv)
(
−
2
x
+
9
y
)
=
0
(v)
(
6
x
+
2
y
−
50
)
=
0
Question
19
19.
The point of intersection of x-axis and y-axis
(i)
(
0
,
0
)
(ii)
(
1
,
1
)
(iii)
(
1
,
0
)
(iv)
(
0
,
2
)
(v)
(
2
,
0
)
Question
20
20.
Which of the following sets of points are collinear?
(i)
(
0
,
0
)
,
(
2
,
(
−
7
)
)
,
(
10
7
,
(
−
5
)
)
(ii)
(
(
−
7
)
,
(
−
5
)
)
,
(
5
,
(
−
8
)
)
,
(
(
−
5
)
,
(
−
4
)
)
(iii)
(
(
−
1
)
,
8
)
,
(
4
,
4
)
,
(
(
−
3
)
,
(
−
7
)
)
(iv)
(
(
−
8
)
,
(
−
6
)
)
,
(
0
,
(
−
1
)
)
,
(
(
−
2
)
,
5
)
(v)
(
(
−
1
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
5
,
(
−
7
)
)
Question
21
21.
Any line parallel to x-axis is
(i)
a curved line
(ii)
an oblique line
(iii)
a horizontal line
(iv)
a vertical line
Question
22
22.
The equation of the x-axis is
a)
y
=
1
b)
x
=
1
c)
x
=
y
d)
x
=
0
e)
y
=
0
(i)
{e}
(ii)
{b,e}
(iii)
{a,e}
(iv)
{c,d,e}
Question
23
23.
Write the given equation
(
4
x
+
y
+
10
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
−
4
x
−
10
)
(ii)
y
=
(
−
5
x
−
10
)
(iii)
y
=
(
−
3
x
−
10
)
(iv)
y
=
(
−
4
x
−
12
)
(v)
y
=
(
−
4
x
−
8
)
Question
24
24.
Find the coordinates of the orthocentre of the triangle
whose vertices are
(
3
,
(
−
3
)
)
,
(
(
−
4
)
,
0
)
and
(
5
,
0
)
(i)
(
4
,
(
−
17
3
)
)
(ii)
(
5
,
(
−
8
3
)
)
(iii)
(
1
,
(
−
20
3
)
)
(iv)
(
3
,
(
−
14
3
)
)
(v)
(
2
,
(
−
11
3
)
)
Question
25
25.
The equation of the line perpendicular to
(
4
x
−
12
y
+
56
)
=
0
and making a y-intercept of
(-4)
is
(i)
(
12
x
+
4
y
+
16
)
=
0
(ii)
(
−
7
x
−
5
y
−
20
)
=
0
(iii)
(
−
11
x
+
7
y
+
28
)
=
0
(iv)
(
3
x
−
5
y
+
30
)
=
0
(v)
(
−
x
+
7
y
−
42
)
=
0
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (ii)
5) (iv)
6) (i)
7) (iii)
8) (ii)
9) (v)
10) (i)
11) (iii)
12) (iii)
13) (ii)
14) (iii)
15) (ii)
16) (i)
17) (iv)
18) (iv)
19) (i)
20) (i)
21) (iii)
22) (i)
23) (i)
24) (iv)
25) (i)
