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
(
6
,
7
)
and perpendicular to the line
(
2
x
+
8
y
−
40
)
=
0
is
(i)
(
−
6
x
+
3
y
+
39
)
=
0
(ii)
(
−
8
x
−
5
y
+
25
)
=
0
(iii)
(
2
x
−
6
y
+
30
)
=
0
(iv)
(
−
8
x
+
2
y
+
46
)
=
0
(v)
(
−
8
x
+
2
y
+
34
)
=
0
Question
2
2.
Find the equation of the line which is parallel to the line
(
x
−
10
y
+
43
)
=
0
and
making a y-intercept of
9
(i)
(
−
x
+
13
y
−
90
)
=
0
(ii)
(
10
x
−
2
y
−
9
)
=
0
(iii)
(
−
x
+
10
y
−
90
)
=
0
(iv)
(
−
2
x
+
10
y
−
90
)
=
0
(v)
(
10
x
+
y
−
9
)
=
0
Question
3
3.
The equation of y-axis is
(i)
y
=
1
(ii)
x
=
0
(iii)
y
=
x
(iv)
y
=
0
(v)
x
=
1
Question
4
4.
The slope of x-axis is
(i)
90
(ii)
undefined
(iii)
1
(iv)
-1
(v)
0
Question
5
5.
The equation of the line passing through the point
(
7
,
2
)
and slope
5
11
is
(i)
(
−
5
x
+
11
y
+
13
)
=
0
(ii)
(
9
x
+
y
+
5
)
=
0
(iii)
(
−
2
x
−
4
y
−
20
)
=
0
(iv)
(
−
7
x
+
7
y
+
35
)
=
0
Question
6
6.
Which of the displayed lines represent the equation
y
=
(
−
1
4
x
)
(i)
line with point
T
(ii)
line with point
W
(iii)
line with point
X
(iv)
line with point
V
(v)
line with point
U
Question
7
7.
The points B
(
1
,
9
)
and D
(
(
−
6
)
,
8
)
are the opposite vertices
of a square ABCD. Find the other two vertices
(i)
(
0
,
7
)
,
(
(
−
3
)
,
12
)
(ii)
(
(
−
4
)
,
3
)
,
(
(
−
3
)
,
12
)
(iii)
(
(
−
2
)
,
5
)
,
(
(
−
3
)
,
12
)
(iv)
(
(
−
1
)
,
4
)
,
(
(
−
3
)
,
12
)
(v)
(
(
−
2
)
,
5
)
,
(
(
−
4
)
,
13
)
Question
8
8.
Which of the following are true?
a)
Equation of the line passing through origin is
y
=
m
x
+
c
b)
Equation of the line passing through origin is y = mx +
4
c)
Equation of the line passing through origin is
y
=
m
x
d)
Equation of the line passing through origin is y = x
(i)
{b,d}
(ii)
{a,d,c}
(iii)
{c,d}
(iv)
{a,b,c}
(v)
{a,c}
Question
9
9.
The equation of the line passing through
(
(
−
7
)
,
8
)
and
having the same y-intercept as
(
4
x
−
7
y
+
22
)
=
0
is
(i)
(
−
34
7
x
−
4
y
+
22
)
=
0
(ii)
(
2
x
+
12
y
−
82
)
=
0
(iii)
(
−
34
5
x
−
7
y
+
22
)
=
0
(iv)
(
2
x
+
9
y
−
82
)
=
0
(v)
(
−
34
7
x
−
7
y
+
22
)
=
0
Question
10
10.
Find the x-intercept of the line which is parallel to the line
(
10
x
−
y
−
74
)
=
0
and
making a y-intercept of
(-1)
(i)
1
10
(ii)
1
12
(iii)
1
8
(iv)
3
10
(v)
(
-1
10
)
Question
11
11.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
3
2
)
,
(
1
,
1
)
,
(
2
,
1
2
)
?
(i)
x
=
(
1
2
y
+
19
2
)
(ii)
x
=
7
(iii)
y
=
(
−
5
)
(iv)
y
=
(
−
1
2
x
−
3
2
)
(v)
(
−
5
x
−
10
y
+
15
)
=
0
Question
12
12.
The slope of any line parallel to x-axis is
(i)
zero
(ii)
undefined
(iii)
90
(iv)
1
(v)
-1
Question
13
13.
Equation of the line passing through origin and the point of intersection
of lines
(
−
11
x
+
6
y
−
46
)
=
0
and
(
−
11
x
−
10
y
+
18
)
=
0
(i)
(
4
x
+
4
y
)
=
0
(ii)
(
3
x
+
2
y
)
=
0
(iii)
(
−
3
y
+
12
)
=
0
(iv)
(
4
x
+
2
y
)
=
0
(v)
(
−
3
y
+
10
)
=
0
Question
14
14.
A line which is neither parallel to x-axis nor y-axis is
(i)
a horizontal line
(ii)
an oblique line
(iii)
a vertical line
(iv)
a curved line
Question
15
15.
Write the given equation
y
=
(
−
4
x
−
18
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
4
x
+
y
+
18
)
=
0
(ii)
(
5
x
+
y
+
18
)
=
0
(iii)
(
4
x
−
2
y
+
18
)
=
0
(iv)
(
3
x
+
y
+
18
)
=
0
(v)
(
4
x
+
3
y
+
18
)
=
0
Question
16
16.
Find the relation between x and y if the points
(
x
,
y
)
,
(
4
,
(
−
5
)
)
and
(
(
−
2
)
,
(
−
1
)
)
are collinear
(i)
(
2
x
−
5
y
−
1
)
=
0
(ii)
(
6
x
−
3
y
−
15
)
=
0
(iii)
(
−
4
x
−
2
y
−
10
)
=
0
(iv)
(
4
x
+
6
y
+
14
)
=
0
(v)
(
4
y
+
20
)
=
0
Question
17
17.
Find the equation of the displayed line
(i)
y
=
1
(ii)
y
=
3
(iii)
4
y
=
2
(iv)
x
=
2
(v)
y
=
2
Question
18
18.
The equation of the line perpendicular to
(
−
5
x
−
3
y
+
26
)
=
0
and making a y-intercept of
0
is
(i)
(
−
3
x
+
5
y
)
=
0
(ii)
(
−
10
x
+
4
y
+
32
)
=
0
(iii)
(
−
15
x
+
y
+
8
)
=
0
(iv)
(
−
2
x
+
4
y
)
=
0
(v)
(
−
7
x
+
y
)
=
0
Question
19
19.
The slope of a line perpendicular to the line
(
−
10
x
+
9
y
+
13
)
=
0
is
(i)
(
-11
10
)
(ii)
(
-9
8
)
(iii)
(
-9
10
)
(iv)
(
-3
4
)
(v)
(
-7
10
)
Question
20
20.
Any line parallel to x-axis is
(i)
an oblique line
(ii)
a vertical line
(iii)
a horizontal line
(iv)
a curved line
Question
21
21.
Which of the following are true ?
a)
Equations of two parallel lines have the same constant and coefficients of x and y will be same
b)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
c)
Equations of two parallel lines have the same constant and coefficients of x and y will not be same
d)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
(i)
{d}
(ii)
{a,d}
(iii)
{b,d}
(iv)
{c,a,d}
Question
22
22.
The ratio of coefficients of x and y in the equations of any two parallel lines is
(i)
2
(ii)
not proportional
(iii)
same
(iv)
1
(v)
not same
Question
23
23.
The equation of the line passing through the points
(
1
,
6
)
and
(
5
,
8
)
is
(i)
(
2
x
−
4
y
+
22
)
=
0
(ii)
(
−
x
+
10
y
−
48
)
=
0
(iii)
(
−
x
−
y
+
7
)
=
0
(iv)
(
−
3
x
+
3
y
−
9
)
=
0
Question
24
24.
Which of the displayed lines represent the equation
y
=
5
3
x
(i)
line with point
P
(ii)
line with point
O
(iii)
line with point
M
(iv)
line with point
Q
(v)
line with point
N
Question
25
25.
Write the given equation
(
−
7
y
−
28
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
−
4
)
(ii)
y
=
(
−
1
)
(iii)
y
=
(
−
6
)
(iv)
y
=
(
−
3
)
(v)
y
=
(
−
5
)
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (v)
5) (i)
6) (i)
7) (iii)
8) (iii)
9) (v)
10) (i)
11) (v)
12) (i)
13) (iv)
14) (ii)
15) (i)
16) (iv)
17) (v)
18) (i)
19) (iii)
20) (iii)
21) (i)
22) (iii)
23) (i)
24) (iii)
25) (i)
