EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Equation of a Straight Line
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
If
a
x
+
b
y
+
c
= 0
is a straight line, the y-intercept is
(i)
-c
a
(ii)
b
(iii)
-c
b
(iv)
a
(v)
c
Question
2
2.
If the equation of a line is
y
=
m
x
+
c
,
what is the intercept form of the equation?
(i)
x
(
m
-c
)
+
y
(
m
c
)
= 1
(ii)
x
(
-c
m
)
+
y
(
c
1
)
= 1
(iii)
x
(
m
-c
)
+
y
(
c
1
)
= 1
(iv)
x
(
m
c
)
+
y
(
c
m
)
= 1
Question
3
3.
The equation of the line passing through the point
(
8
,
(
−
2
)
)
and slope
(
−
7
3
)
is
(i)
(
7
x
+
3
y
−
50
)
=
0
(ii)
(
−
2
x
+
9
y
−
32
)
=
0
(iii)
(
6
x
+
6
y
−
36
)
=
0
(iv)
(
−
x
+
3
y
−
10
)
=
0
Question
4
4.
Find the value of k such that the points
(
(
−
9
)
,
(
−
5
)
)
,
(
(
−
4
)
,
15
4
)
and
(k,9)
are collinear
(i)
1
(ii)
-1
(iii)
-4
(iv)
0
(v)
-2
Question
5
5.
The equation of the line passing through
(
7
,
1
)
and
having the same y-intercept as
(
−
x
−
5
y
+
26
)
=
0
is
(i)
(
21
5
x
+
7
y
−
182
5
)
=
0
(ii)
(
7
x
+
7
y
−
182
5
)
=
0
(iii)
(
21
5
x
+
10
y
−
182
5
)
=
0
(iv)
(
−
4
x
−
6
y
+
34
)
=
0
(v)
(
−
4
x
−
9
y
+
34
)
=
0
Question
6
6.
If
a
x
+
b
y
+
c
= 0
is a straight line, the x-intercept is
(i)
a
(ii)
c
(iii)
-c
b
(iv)
b
(v)
-c
a
Question
7
7.
Find the slope of the displayed line
(i)
2
(ii)
4
(iii)
5
(iv)
8
(v)
6
Question
8
8.
The slope of any line parallel to y-axis is
(i)
-1
(ii)
undefined
(iii)
1
(iv)
90
(v)
zero
Question
9
9.
Find the equation of the line through
(
(
−
8
)
,
2
)
and x-intercept
9
(i)
(
−
2
x
−
14
y
+
18
)
=
0
(ii)
(
−
2
x
−
17
y
+
18
)
=
0
(iii)
(
7
x
−
8
y
+
72
)
=
0
(iv)
(
7
x
−
6
y
+
72
)
=
0
(v)
(
−
3
x
−
17
y
+
18
)
=
0
Question
10
10.
Find the value of k such that the points
(
(
−
7
)
,
(
−
3
)
)
,
(
(
−
33
5
)
,
(
−
1
)
)
and
(-5,k)
are collinear
(i)
7
(ii)
5
(iii)
6
(iv)
8
(v)
10
Question
11
11.
Find the y-intercept of the line passing
through points
(
1
,
(
−
5
)
)
and
(
(
−
8
)
,
3
)
(i)
(
-29
7
)
(ii)
(
-4
5
8
)
(iii)
(
-13
3
)
(iv)
(
-4
1
9
)
(v)
(
-35
9
)
Question
12
12.
The equation of the x-axis is
a)
x
=
y
b)
y
=
1
c)
x
=
1
d)
x
=
0
e)
y
=
0
(i)
{e}
(ii)
{b,e}
(iii)
{c,d,e}
(iv)
{a,e}
Question
13
13.
The slope of a line parallel to the line
(
12
x
+
4
y
−
12
)
=
0
is
(i)
-2
(ii)
-6
(iii)
0
(iv)
-4
(v)
-3
Question
14
14.
The points B
(
3
,
4
)
and D
(
(
−
5
)
,
6
)
are the opposite vertices
of a square ABCD. Find the other two vertices
(i)
(
0
,
3
)
,
(
0
,
9
)
(ii)
(
(
−
1
)
,
0
)
,
(
0
,
9
)
(iii)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
10
)
(iv)
(
(
−
4
)
,
(
−
1
)
)
,
(
0
,
9
)
(v)
(
(
−
2
)
,
1
)
,
(
0
,
9
)
Question
15
15.
Which of the following are true?
a)
Slope of any line parallel to y-axis is zero
b)
Slope of any line parallel to y-axis is not defined
c)
Slope of any line parallel to x-axis is not defined
d)
Slope of any line parallel to x-axis is zero
(i)
{a,c,b}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{a,d,b}
(v)
{b,d}
Question
16
16.
(
(
−
1
)
,
5
)
,
(
7
,
(
−
1
)
)
and
(
5
,
5
)
are the vertices of triangle ABC.
Find the equation of the altitude of the triangle through vertex C
(i)
(
−
4
x
+
5
)
=
0
(ii)
(
−
4
x
+
3
y
+
5
)
=
0
(iii)
(
−
4
x
+
5
y
+
5
)
=
0
(iv)
(
−
x
+
3
y
−
16
)
=
0
(v)
(
x
−
7
)
=
0
Question
17
17.
Two straight lines are perpendicular if and only if the product of their slopes is
(i)
undefined
(ii)
1
(iii)
0
(iv)
-1
(v)
90
Question
18
18.
Find the point of intersection of y-axis and
the line joining points
(
(
−
7
)
,
(
−
2
)
)
and
(
3
,
(
−
5
)
)
(i)
(
41
3
,
0
)
(ii)
(
0
,
(
−
41
3
)
)
(iii)
(
0
,
(
−
41
10
)
)
(iv)
(
0
,
41
10
)
Question
19
19.
The slope of a line perpendicular to the line
(
x
+
9
y
−
10
)
=
0
is
(i)
12
(ii)
10
(iii)
7
(iv)
8
(v)
9
Question
20
20.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
77
5
)
)
,
(
(
−
1
)
,
(
−
93
5
)
)
,
(
0
,
(
−
109
5
)
)
,
(
1
,
(
−
25
)
)
,
(
2
,
(
−
141
5
)
)
?
(i)
x
=
(
16
5
y
−
157
5
)
(ii)
y
=
(
−
16
5
x
−
109
5
)
(iii)
x
=
(
−
9
)
(iv)
y
=
7
(v)
(
3
x
+
2
y
−
1
)
=
0
Question
21
21.
Find the equation parallel to the given equation
(i)
(
−
7
x
−
7
y
+
5
)
=
0
(ii)
(
−
7
x
+
7
y
+
9
)
=
0
(iii)
(
y
+
2
)
=
0
(iv)
(
−
14
x
+
7
y
+
28
)
=
0
Question
22
22.
Find the point of intersection of
(
10
y
+
50
)
=
0
and
the line joining points
(
(
−
2
)
,
(
−
4
)
)
and
(
5
,
1
)
(i)
(
(
−
12
5
)
,
(
−
6
)
)
(ii)
(
(
−
17
5
)
,
(
−
5
)
)
(iii)
(
(
−
7
5
)
,
(
−
3
)
)
(iv)
(
(
−
22
5
)
,
(
−
4
)
)
(v)
(
(
−
27
5
)
,
(
−
7
)
)
Question
23
23.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
m
x
+
c
(ii)
y
=
0
(iii)
x
=
m
y
+
c
(iv)
y
=
m
x
(v)
x
=
0
Question
24
24.
Find the x-intercept of the displayed line
(i)
1
6
(ii)
-6
(iii)
-23
(iv)
3
5
6
Question
25
25.
Which of the following equations satisfy the given points
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
9
4
)
,
(
0
,
1
2
)
,
(
1
,
(
−
5
4
)
)
,
(
2
,
(
−
3
)
)
?
(i)
x
=
2
(ii)
(
−
15
x
−
12
y
+
21
)
=
0
(iii)
(
7
x
+
4
y
−
2
)
=
0
(iv)
y
=
(
−
5
4
x
−
13
2
)
(v)
x
=
(
5
4
y
+
53
4
)
Assignment Key
1) (iii)
2) (ii)
3) (i)
4) (ii)
5) (i)
6) (v)
7) (iii)
8) (ii)
9) (ii)
10) (i)
11) (iv)
12) (i)
13) (v)
14) (v)
15) (v)
16) (ii)
17) (iv)
18) (iii)
19) (v)
20) (ii)
21) (ii)
22) (ii)
23) (iv)
24) (iii)
25) (iii)
