EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Equation of a Straight Line
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Which of the following pairs of lines are parallel?
(i)
(
15
x
−
9
y
−
3
)
=
0
,
(
−
8
x
+
3
y
+
60
)
=
0
(ii)
(
15
x
−
9
y
−
3
)
=
0
,
(
−
5
x
+
3
y
+
42
)
=
0
(iii)
(
15
x
−
9
y
−
3
)
=
0
,
(
3
x
+
5
y
−
4
)
=
0
(iv)
(
15
x
−
9
y
−
3
)
=
0
,
(
−
2
x
+
5
y
−
39
)
=
0
Question
2
2.
The ratio of coefficients of x and y in the equations of any two parallel lines is
(i)
same
(ii)
2
(iii)
not same
(iv)
not proportional
(v)
1
Question
3
3.
Find the equation of the line which is parallel to the line
(
6
x
−
2
y
−
46
)
=
0
and
making a y-intercept of
(-8)
(i)
(
−
7
x
+
2
y
+
16
)
=
0
(ii)
(
x
+
24
)
=
0
(iii)
(
−
6
x
+
4
y
+
16
)
=
0
(iv)
(
−
6
x
+
2
y
+
16
)
=
0
(v)
(
x
+
3
y
+
24
)
=
0
Question
4
4.
If
a
x
+
b
y
+
c
= 0
is a straight line, the x-intercept is
(i)
-c
a
(ii)
a
(iii)
-c
b
(iv)
b
(v)
c
Question
5
5.
Find the x-intercept of the line passing
through points
(
(
−
2
)
,
6
)
and
(
4
,
(
−
3
)
)
(i)
1
(ii)
0
(iii)
4
(iv)
2
(v)
3
Question
6
6.
Find the equation perpendicular to the given equation
(i)
(
6
x
+
6
y
+
7
)
=
0
(ii)
(
6
x
+
6
y
+
24
)
=
0
(iii)
(
−
x
+
y
+
12
)
=
0
(iv)
(
6
x
+
6
y
+
3
)
=
0
Question
7
7.
Find the relation between x and y such that the point P
(
x
,
y
)
is equidistant from points
(
7
,
(
−
4
)
)
and
(
8
,
(
−
3
)
)
(i)
(
2
x
+
2
y
−
8
)
=
0
(ii)
(
6
x
−
y
−
38
)
=
0
(iii)
(
x
+
2
y
−
8
)
=
0
(iv)
(
6
x
+
y
−
38
)
=
0
(v)
(
2
x
+
4
y
−
8
)
=
0
Question
8
8.
Two non-vertical lines are parallel if and only if their slopes are
(i)
not proportional
(ii)
2
(iii)
1
(iv)
not same
(v)
same
Question
9
9.
Which of the following lines pass through the origin?
(i)
(
−
4
x
+
16
y
−
80
)
=
0
(ii)
(
7
x
−
8
y
)
=
0
(iii)
(
−
5
x
−
5
y
−
25
)
=
0
(iv)
(
11
x
−
5
y
−
53
)
=
0
(v)
(
−
2
x
−
6
y
−
18
)
=
0
Question
10
10.
Find the y-intercept of the line
(
8
x
−
y
−
51
)
=
0
(i)
-51
(ii)
-48
(iii)
-53
(iv)
-52
(v)
-50
Question
11
11.
Which of the following are true?
a)
Slope of any line parallel to x-axis is zero
b)
Slope of any line parallel to x-axis is not defined
c)
Slope of any line parallel to y-axis is zero
d)
Slope of any line parallel to y-axis is not defined
(i)
{b,d,a}
(ii)
{a,d}
(iii)
{c,d}
(iv)
{b,a}
(v)
{b,c,a}
Question
12
12.
The slope of y-axis is
(i)
1
(ii)
0
(iii)
undefined
(iv)
-1
(v)
90
Question
13
13.
Find the value of k such that
(
−
x
−
12
y
−
89
)
=
0
and
(
k
x
+
12
y
−
30
) = 0
are parallel to each other
(i)
0
(ii)
-1
(iii)
2
(iv)
1
(v)
4
Question
14
14.
The equation of the line with x-intercept
3
8
and y-intercept
2
4
is
(i)
(
6
x
+
8
y
−
3
)
=
0
(ii)
(
24
x
+
22
y
−
33
)
=
0
(iii)
(
8
x
+
2
y
−
3
)
=
0
(iv)
(
8
x
+
22
y
−
11
)
=
0
(v)
(
8
x
+
6
y
−
3
)
=
0
Question
15
15.
Two straight lines are parallel if and only if their slopes are
(i)
unequal
(ii)
0
(iii)
undefined
(iv)
1
(v)
equal
Question
16
16.
Which of the following pairs of lines are perpendicular?
(i)
(
−
11
x
+
4
y
−
12
)
=
0
,
(
−
11
x
+
4
y
+
6
)
=
0
(ii)
(
−
11
x
+
4
y
−
12
)
=
0
,
(
4
x
+
11
y
+
68
)
=
0
(iii)
(
−
11
x
+
4
y
−
12
)
=
0
,
(
−
7
x
+
11
y
+
2
)
=
0
(iv)
(
−
11
x
+
4
y
−
12
)
=
0
,
(
−
15
x
+
4
y
+
14
)
=
0
Question
17
17.
The slope of the line passing through the points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
(i)
x
2
+
y
1
y
2
+
x
1
(ii)
y
2
−
y
1
x
2
−
x
1
(iii)
x
2
−
x
1
y
2
−
y
1
(iv)
x
2
−
y
1
y
2
−
x
1
(v)
x
2
+
x
1
y
2
+
y
1
Question
18
18.
Find the y-intercept of the displayed line
(i)
0
(ii)
undefined
(iii)
5
Question
19
19.
The equation of the line passing through the point
(
(
−
8
)
,
(
−
4
)
)
and slope
3
is
(i)
(
6
x
−
2
y
+
40
)
=
0
(ii)
(
−
12
y
−
48
)
=
0
(iii)
(
12
x
+
9
y
−
12
)
=
0
(iv)
(
−
6
x
−
10
y
−
16
)
=
0
Question
20
20.
The slope of the line
a
x
+
b
y
+
c
= 0
is
(i)
b
(ii)
c
(iii)
-a
b
(iv)
a
(v)
-b
a
Question
21
21.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
(
−
3
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
?
(i)
y
=
(
−
3
)
(ii)
y
=
(
−
13
10
x
+
24
5
)
(iii)
(
−
13
x
−
10
y
−
28
)
=
0
(iv)
(
2
x
+
2
y
−
1
)
=
0
(v)
x
=
6
Question
22
22.
Find the equation of the displayed line
(i)
y
=
1
(ii)
y
=
0
(iii)
y
=
2
(iv)
3
y
=
1
(v)
x
=
1
Question
23
23.
Find the x-intercept of the line
(
−
x
−
9
y
−
62
)
=
0
(i)
-62
(ii)
-61
(iii)
-59
(iv)
-65
(v)
-63
Question
24
24.
Which of the following equations satisfy the given points
(
(
−
2
)
,
11
2
)
,
(
(
−
1
)
,
3
)
,
(
0
,
1
2
)
,
(
1
,
(
−
2
)
)
,
(
2
,
(
−
9
2
)
)
?
(i)
y
=
(
−
1
)
(ii)
(
−
10
x
−
5
y
−
30
)
=
0
(iii)
(
5
x
+
2
y
−
1
)
=
0
(iv)
y
=
(
−
2
x
−
15
)
(v)
x
=
(
−
7
)
Question
25
25.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
y
(ii)
y
=
0
(iii)
x
=
k
(iv)
y
=
k
(v)
x
=
0
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (i)
5) (iv)
6) (iii)
7) (i)
8) (v)
9) (ii)
10) (i)
11) (ii)
12) (iii)
13) (iv)
14) (v)
15) (v)
16) (ii)
17) (ii)
18) (iii)
19) (i)
20) (iii)
21) (i)
22) (i)
23) (i)
24) (iii)
25) (iv)
