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 slope is
(i)
x
(ii)
undefined
(iii)
m
(iv)
c
(v)
y
Question
2
2.
Find the value of k such that the points
(
(
−
8
)
,
(
−
5
)
)
,
(
(
−
41
13
)
,
(
−
2
13
)
)
and
(1,k)
are collinear
(i)
4
(ii)
7
(iii)
2
(iv)
5
(v)
3
Question
3
3.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
y
=
0
(ii)
x
=
y
(iii)
y
=
k
(iv)
x
=
k
(v)
x
=
0
Question
4
4.
Which of the following are true?
a)
The ordinate of every point on y-axis is zero
b)
The abscissa of every point on y-axis is zero
c)
The abscissa of every point on x-axis is zero
d)
The ordinate of every point on x-axis is zero
(i)
{a,c,b}
(ii)
{a,b}
(iii)
{c,d}
(iv)
{a,d,b}
(v)
{b,d}
Question
5
5.
The slope of the line perpendicular to the line passing through
the points
(
(
−
5
)
,
6
)
and
(
1
,
(
−
4
)
)
is
(i)
1
(ii)
3
7
(iii)
3
5
(iv)
1
5
Question
6
6.
The points B
(
(
−
1
)
,
4
)
and D
(
(
−
8
)
,
3
)
are the opposite vertices
of a square ABCD. Find the equation of the diagonal AC
(i)
(
7
x
+
y
+
28
)
=
0
(ii)
(
6
x
+
y
+
28
)
=
0
(iii)
(
7
x
+
4
y
+
28
)
=
0
(iv)
(
−
x
+
7
y
−
29
)
=
0
(v)
(
−
x
+
5
y
−
29
)
=
0
Question
7
7.
KM is the straight line of length
√
17
units.
If K has the coordinates
(
(
−
7
)
,
6
)
and M has coordinates
(k,7)
,
find the possible values of k
(i)
(
(
−
3
)
,
(
−
11
)
)
(ii)
(
(
−
4
)
,
(
−
10
)
)
(iii)
(
(
−
2
)
,
(
−
12
)
)
(iv)
(
(
−
5
)
,
(
−
13
)
)
(v)
(
(
−
1
)
,
(
−
9
)
)
Question
8
8.
The equation of the line passing through
(
8
,
2
)
and
having the same y-intercept as
(
9
x
−
11
y
+
5
)
=
0
is
(i)
(
−
5
x
+
40
)
=
0
(ii)
(
−
17
11
x
+
8
y
−
40
11
)
=
0
(iii)
(
−
17
11
x
+
10
y
−
40
11
)
=
0
(iv)
(
−
5
x
+
38
)
=
0
(v)
(
−
17
9
x
+
8
y
−
40
11
)
=
0
Question
9
9.
Find the x-intercept of the displayed line
(i)
2
3
(ii)
1
3
(iii)
(
-1
2
)
(iv)
(
-1
1
2
)
Question
10
10.
Find the equation of the line through
(
5
,
(
−
1
)
)
and y-intercept
1
(i)
(
2
x
+
8
y
−
5
)
=
0
(ii)
(
x
+
5
y
−
5
)
=
0
(iii)
(
2
x
+
5
y
−
5
)
=
0
(iv)
(
x
+
4
y
−
1
)
=
0
(v)
(
x
+
6
y
−
1
)
=
0
Question
11
11.
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 = x
c)
Equation of the line passing through origin is y = mx +
1
d)
Equation of the line passing through origin is
y
=
m
x
(i)
{a,b}
(ii)
{c,d}
(iii)
{a,d,b}
(iv)
{b,d}
(v)
{a,c,b}
Question
12
12.
(
7
,
3
)
,
(
(
−
6
)
,
(
−
5
)
)
and
(
0
,
2
)
are the vertices of triangle ABC.
Find the equation of the altitude of the triangle through vertex C
(i)
(
13
x
+
6
y
−
16
)
=
0
(ii)
(
6
x
+
7
y
−
63
)
=
0
(iii)
(
7
x
+
y
+
47
)
=
0
(iv)
(
13
x
+
11
y
−
16
)
=
0
(v)
(
13
x
+
8
y
−
16
)
=
0
Question
13
13.
Two straight lines are perpendicular if and only if the product of their slopes is
(i)
1
(ii)
90
(iii)
0
(iv)
-1
(v)
undefined
Question
14
14.
Find the x-intercept of the line passing
through points
(
2
,
3
)
and
(
(
−
8
)
,
(
−
5
)
)
(i)
(
-9
4
)
(ii)
(
-5
2
)
(iii)
(
-5
4
)
(iv)
(
-1
3
4
)
(v)
1
2
5
Question
15
15.
Two non-vertical lines are parallel if and only if their slopes are
(i)
not proportional
(ii)
same
(iii)
not same
(iv)
2
(v)
1
Question
16
16.
The equation of the line parallel to
(
−
3
x
+
11
y
+
57
)
=
0
and making a y-intercept of
(-8)
is
(i)
(
−
2
x
−
3
y
−
24
)
=
0
(ii)
(
7
x
−
3
y
+
3
)
=
0
(iii)
(
4
x
+
8
y
−
8
)
=
0
(iv)
(
−
3
x
+
11
y
+
88
)
=
0
(v)
(
−
5
x
+
8
y
+
64
)
=
0
Question
17
17.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
(
−
9
)
,
8
)
(i)
y
=
11
(ii)
x
=
(
−
7
)
(iii)
x
=
(
−
9
)
(iv)
x
=
(
−
10
)
(v)
y
=
8
Question
18
18.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
9
)
,
5
)
(i)
x
=
(
−
7
)
(ii)
x
=
(
−
9
)
(iii)
y
=
5
(iv)
y
=
4
(v)
y
=
7
Question
19
19.
The equation of the line with x-intercept
5
6
and y-intercept
1
7
is
(i)
(
35
x
+
6
y
−
5
)
=
0
(ii)
(
6
x
+
35
y
−
5
)
=
0
(iii)
(
6
x
+
77
y
−
11
)
=
0
(iv)
(
48
x
+
35
y
−
40
)
=
0
(v)
(
48
x
+
77
y
−
88
)
=
0
Question
20
20.
The slope of y-axis is
(i)
undefined
(ii)
0
(iii)
-1
(iv)
1
(v)
90
Question
21
21.
(
7
,
3
)
,
(
2
,
(
−
6
)
)
and
(
(
−
6
)
,
1
)
are the vertices of triangle ABC.
Find the equation of the median of the triangle through vertex C
(i)
(
5
2
x
+
19
2
y
+
9
2
)
=
0
(ii)
(
11
2
x
−
9
y
−
23
2
)
=
0
(iii)
(
−
8
x
−
3
2
y
+
7
)
=
0
(iv)
(
5
2
x
+
21
2
y
+
9
2
)
=
0
(v)
(
5
2
x
+
23
2
y
+
9
2
)
=
0
Question
22
22.
Which of the displayed lines represent the equation
y
=
2
(i)
line with point
R
(ii)
line with point
U
(iii)
line with point
Q
(iv)
line with point
S
(v)
line with point
T
Question
23
23.
Find the point of intersection of x-axis and
the line joining points
(
0
,
4
)
and
(
(
−
1
)
,
5
)
(i)
(
(
−
4
)
,
0
)
(ii)
(
4
,
0
)
(iii)
(
0
,
(
−
4
)
)
Question
24
24.
The equation of y-axis is
(i)
y
=
0
(ii)
x
=
0
(iii)
y
=
x
(iv)
x
=
1
(v)
y
=
1
Question
25
25.
Which of the following pairs of lines are perpendicular?
(i)
(
9
x
−
y
+
33
)
=
0
,
(
x
+
9
y
−
28
)
=
0
(ii)
(
9
x
−
y
+
33
)
=
0
,
(
−
10
x
+
y
−
15
)
=
0
(iii)
(
9
x
−
y
+
33
)
=
0
,
(
−
9
x
+
y
−
14
)
=
0
(iv)
(
9
x
−
y
+
33
)
=
0
,
(
−
8
x
+
9
y
−
100
)
=
0
Assignment Key
1) (iii)
2) (i)
3) (iv)
4) (v)
5) (iii)
6) (i)
7) (i)
8) (ii)
9) (iii)
10) (iii)
11) (iv)
12) (v)
13) (iv)
14) (iv)
15) (ii)
16) (iv)
17) (iii)
18) (iii)
19) (ii)
20) (i)
21) (iv)
22) (iii)
23) (ii)
24) (ii)
25) (i)
