EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Equation of a Straight Line
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
In equation of the line
y
=
m
x
+
c
, the y-intercept is
(i)
c
(ii)
m
(iii)
x
(iv)
y
(v)
undefined
Question
2
2.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
1
)
,
(
−
2
)
)
,
(
0
,
(
−
2
)
)
,
(
1
,
(
−
2
)
)
,
(
2
,
(
−
2
)
)
?
(i)
y
=
(
−
7
9
x
+
1
3
)
(ii)
y
=
(
−
2
)
(iii)
x
=
(
7
9
y
+
41
9
)
(iv)
(
8
x
+
7
y
−
4
)
=
0
(v)
x
=
3
Question
3
3.
Which of the following equations satisfy the given points
(
(
−
5
)
,
(
−
2
)
)
,
(
(
−
5
)
,
(
−
1
)
)
,
(
(
−
5
)
,
0
)
,
(
(
−
5
)
,
1
)
,
(
(
−
5
)
,
2
)
?
(i)
x
=
(
3
y
−
5
)
(ii)
x
=
(
−
5
)
(iii)
y
=
(
−
3
x
−
15
)
(iv)
(
3
x
+
4
y
−
2
)
=
0
(v)
y
=
0
Question
4
4.
Which of the following equations satisfy the given points
(
(
−
2
)
,
61
3
)
,
(
(
−
1
)
,
35
2
)
,
(
0
,
44
3
)
,
(
1
,
71
6
)
,
(
2
,
9
)
?
(i)
x
=
(
17
6
y
−
47
2
)
(ii)
(
2
x
+
2
y
−
1
)
=
0
(iii)
y
=
(
−
17
6
x
+
44
3
)
(iv)
(
−
17
x
−
6
y
+
31
)
=
0
(v)
y
=
9
Question
5
5.
Which of the following are true?
a)
The abscissa of every point on x-axis is zero
b)
The ordinate of every point on x-axis is zero
c)
The abscissa of every point on y-axis is zero
d)
The ordinate of every point on y-axis is zero
(i)
{a,d,b}
(ii)
{b,c}
(iii)
{a,c,b}
(iv)
{d,c}
(v)
{a,b}
Question
6
6.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
k
(ii)
y
=
k
(iii)
x
=
0
(iv)
y
=
0
(v)
x
=
y
Question
7
7.
Find equation of the right bisector of the line segment
joining the points
(
(
−
1
)
,
(
−
5
)
)
and
(
(
−
5
)
,
(
−
6
)
)
(i)
(
4
x
+
y
+
26
)
=
0
(ii)
(
4
x
+
y
+
9
)
=
0
(iii)
(
4
x
+
y
+
21
)
=
0
(iv)
(
8
x
+
2
y
+
35
)
=
0
(v)
(
−
x
+
4
y
−
1
)
=
0
Question
8
8.
Find the relation between x and y if the points
(
x
,
y
)
,
(
6
,
(
−
3
)
)
and
(
0
,
6
)
are collinear
(i)
(
9
x
+
6
y
−
36
)
=
0
(ii)
(
−
4
x
−
12
y
+
44
)
=
0
(iii)
(
−
5
x
−
8
y
+
48
)
=
0
(iv)
(
−
x
+
4
y
−
24
)
=
0
(v)
(
8
x
+
10
y
−
18
)
=
0
Question
9
9.
Find the equation of the line passing through the points
(
(
−
5
)
,
(
−
7
)
)
and
(
(
−
4
)
,
0
)
(i)
(
7
x
−
y
+
28
)
=
0
(ii)
(
−
7
x
+
y
−
29
)
=
0
(iii)
(
6
x
−
y
+
28
)
=
0
(iv)
(
−
7
x
+
y
−
21
)
=
0
(v)
(
8
x
−
y
+
28
)
=
0
Question
10
10.
Find the equation of the displayed line
(i)
x
=
(
−
1
)
(ii)
y
=
(
−
2
)
(iii)
y
=
0
(iv)
y
=
(
−
1
)
(v)
4
y
=
(
−
1
)
Question
11
11.
Find the coordinates of the orthocentre of the triangle
whose vertices are
(
0
,
4
)
,
(
(
−
2
)
,
(
−
3
)
)
and
(
8
,
3
)
(i)
(
31
29
,
219
29
)
(ii)
(
(
−
27
29
)
,
161
29
)
(iii)
(
2
29
,
132
29
)
(iv)
(
(
−
85
29
)
,
103
29
)
(v)
(
(
−
56
29
)
,
190
29
)
Question
12
12.
Which of the displayed lines represent the equation
y
=
1
5
x
(i)
line with point
T
(ii)
line with point
R
(iii)
line with point
S
(iv)
line with point
Q
(v)
line with point
P
Question
13
13.
Find the slope of the displayed line
(i)
(
-1
5
)
(ii)
(
-1
3
)
(iii)
(
-1
7
)
(iv)
1
5
(v)
(
-3
5
)
Question
14
14.
Find the equation of the line which is parallel to the line
(
11
x
+
16
y
+
24
)
=
0
and
making a y-intercept of
0
(i)
(
−
16
x
+
11
y
)
=
0
(ii)
(
−
16
x
+
9
y
)
=
0
(iii)
(
11
x
+
18
y
)
=
0
(iv)
(
11
x
+
16
y
)
=
0
(v)
(
10
x
+
16
y
)
=
0
Question
15
15.
The equation of the line passing through the points
(
5
,
3
)
and
(
(
−
8
)
,
(
−
4
)
)
is
(i)
(
−
3
x
+
6
y
−
36
)
=
0
(ii)
(
3
x
+
5
y
−
30
)
=
0
(iii)
(
−
7
x
+
13
y
−
4
)
=
0
(iv)
(
10
x
−
8
y
+
48
)
=
0
Question
16
16.
If
a
x
+
b
y
+
c
= 0
is a straight line, the x-intercept is
(i)
b
(ii)
a
(iii)
-c
b
(iv)
c
(v)
-c
a
Question
17
17.
Which of the displayed lines represent the equation
y
=
(
4
3
x
+
8
3
)
(i)
line with point
S
(ii)
line with point
R
(iii)
line with point
P
(iv)
line with point
O
(v)
line with point
Q
Question
18
18.
The equation of the line with slope
m
≠
0 and y-intercept
c
≠
0 is
(i)
y
=
0
(ii)
x
=
0
(iii)
x
=
m
y
+
c
(iv)
y
=
m
x
+
c
(v)
y
=
m
x
Question
19
19.
Two straight lines are perpendicular if and only if the product of their slopes is
(i)
90
(ii)
undefined
(iii)
0
(iv)
-1
(v)
1
Question
20
20.
Which of the following sets of points are collinear?
(i)
(
(
−
8
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
(
−
6
)
,
(
−
5
)
)
(ii)
(
2
,
6
)
,
(
(
−
3
)
,
6
)
,
(
5
,
2
)
(iii)
(
(
−
3
)
,
7
)
,
(
(
−
6
)
,
5
)
,
(
(
−
6
)
,
(
−
4
)
)
(iv)
(
(
−
8
)
,
7
)
,
(
(
−
5
)
,
7
)
,
(
(
−
1
)
,
3
)
(v)
(
4
,
(
−
4
)
)
,
(
0
,
(
−
3
)
)
,
(
6
,
(
−
9
2
)
)
Question
21
21.
Find the coordinates of the circumcentre of the triangle
whose vertices are
(
4
,
(
−
3
)
)
,
(
(
−
8
)
,
0
)
and
(
0
,
(
−
3
)
)
(i)
(
0
,
25
2
)
(ii)
(
2
,
29
2
)
(iii)
(
4
,
33
2
)
(iv)
(
1
,
31
2
)
(v)
(
3
,
27
2
)
Question
22
22.
Any line parallel to y-axis is
(i)
a horizontal line
(ii)
a curved line
(iii)
an oblique line
(iv)
a vertical line
Question
23
23.
The slope of y-axis is
(i)
0
(ii)
-1
(iii)
1
(iv)
90
(v)
undefined
Question
24
24.
Find the relation between x and y such that the point P
(
x
,
y
)
is equidistant from points
(
(
−
7
)
,
5
)
and
(
2
,
(
−
1
)
)
(i)
(
−
10
x
−
8
y
−
30
)
=
0
(ii)
(
−
6
x
+
4
y
−
23
)
=
0
(iii)
(
−
6
x
+
7
y
−
23
)
=
0
(iv)
(
−
10
x
−
10
y
−
30
)
=
0
(v)
(
−
7
x
+
4
y
−
23
)
=
0
Question
25
25.
Determine the ratio in which the line
(
x
−
9
y
−
13
)
=
0
divides the join of points
(
3
,
(
−
6
)
)
and
(
(
−
1
)
,
2
)
(i)
11
:
8
(ii)
11
:
5
(iii)
10
:
8
(iv)
11
:
10
(v)
12
:
8
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (iii)
5) (ii)
6) (ii)
7) (iv)
8) (i)
9) (i)
10) (iv)
11) (ii)
12) (v)
13) (i)
14) (iv)
15) (iii)
16) (v)
17) (iv)
18) (iv)
19) (iv)
20) (v)
21) (ii)
22) (iv)
23) (v)
24) (ii)
25) (i)
