EduSahara™ Assignment
Name : Equation of a Straight Line
Chapter : Equation of a Straight Line
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
The slope of x-axis is
(i)
1
(ii)
0
(iii)
90
(iv)
undefined
(v)
-1
Question
2
2.
The slope of y-axis is
(i)
undefined
(ii)
1
(iii)
0
(iv)
90
(v)
-1
Question
3
3.
The slope of the line joining the points
(
(
−
1
)
,
(
−
8
)
)
and
(
6
,
(
−
5
)
)
is
(i)
5
7
(ii)
1
3
(iii)
3
5
(iv)
3
7
(v)
1
7
Question
4
4.
The slope of the line perpendicular to the line passing through
the points
(
0
,
1
)
and
(
(
−
7
)
,
8
)
is
(i)
1
(ii)
3
(iii)
0
(iv)
-2
(v)
2
Question
5
5.
The slope of a line parallel to the line
(
−
13
x
+
9
y
−
24
)
=
0
is
(i)
11
7
(ii)
15
11
(iii)
11
9
(iv)
13
9
(v)
5
3
Question
6
6.
The slope of a line perpendicular to the line
(
10
x
+
11
y
+
47
)
=
0
is
(i)
11
10
(ii)
9
8
(iii)
13
12
(iv)
13
10
(v)
9
10
Question
7
7.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
m
x
+
c
(ii)
x
=
0
(iii)
y
=
0
(iv)
y
=
m
x
(v)
x
=
m
y
+
c
Question
8
8.
The equation of the line with slope
m
≠
0 and y-intercept
c
≠
0 is
(i)
x
=
0
(ii)
x
=
m
y
+
c
(iii)
y
=
m
x
(iv)
y
=
m
x
+
c
(v)
y
=
0
Question
9
9.
Find the x-intercept of the line
(
2
x
−
5
y
−
1
)
=
0
(i)
3
2
(ii)
1
2
(iii)
1
4
(iv)
1
(v)
(
-1
2
)
Question
10
10.
Find the y-intercept of the line
(
3
x
−
13
y
−
83
)
=
0
(i)
(
-81
13
)
(ii)
(
-85
13
)
(iii)
(
-83
11
)
(iv)
(
-83
15
)
(v)
(
-83
13
)
Question
11
11.
The equation of the line with x-intercept
8
9
and y-intercept
2
4
is
(i)
(
9
x
+
16
y
−
8
)
=
0
(ii)
(
27
x
+
16
y
−
24
)
=
0
(iii)
(
27
x
+
34
y
−
51
)
=
0
(iv)
(
16
x
+
9
y
−
8
)
=
0
(v)
(
9
x
+
34
y
−
17
)
=
0
Question
12
12.
The equation of the line passing through the points
(
(
−
5
)
,
8
)
and
(
3
,
3
)
is
(i)
(
−
5
x
−
8
y
+
39
)
=
0
(ii)
(
5
x
+
3
y
−
24
)
=
0
(iii)
(
−
5
y
+
40
)
=
0
(iv)
(
−
15
x
+
7
y
−
56
)
=
0
Question
13
13.
The equation of the line passing through the point
(
(
−
4
)
,
(
−
1
)
)
and slope
(
−
7
4
)
is
(i)
(
−
7
x
−
4
y
−
32
)
=
0
(ii)
(
x
+
10
y
−
43
)
=
0
(iii)
(
5
x
−
7
y
+
13
)
=
0
(iv)
(
12
x
−
3
y
−
24
)
=
0
Question
14
14.
The equation of the line with slope
(
−
3
2
)
and y-intercept
(
−
1
2
)
is
(i)
(
8
x
+
7
y
+
64
)
=
0
(ii)
(
−
9
x
−
9
)
=
0
(iii)
(
−
15
x
−
4
y
−
47
)
=
0
(iv)
(
−
6
x
−
4
y
−
2
)
=
0
Question
15
15.
The equation of x-axis is
(i)
y
=
0
(ii)
x
=
0
(iii)
x
=
1
(iv)
y
=
1
(v)
y
=
x
Question
16
16.
The equation of y-axis is
(i)
y
=
1
(ii)
x
=
0
(iii)
y
=
0
(iv)
x
=
1
(v)
y
=
x
Question
17
17.
The slope of any line parallel to x-axis is
(i)
zero
(ii)
1
(iii)
-1
(iv)
undefined
(v)
90
Question
18
18.
The slope of any line parallel to y-axis is
(i)
undefined
(ii)
-1
(iii)
1
(iv)
zero
(v)
90
Question
19
19.
Find the x-intercept of the displayed line
(i)
1
(ii)
-1
Question
20
20.
Find the y-intercept of the displayed line
(i)
1
1
2
(ii)
(
-3
4
)
(iii)
-2
(iv)
1
1
3
Question
21
21.
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
=
m
x
d)
Equation of the line passing through origin is y = mx +
9
(i)
{a,d,b}
(ii)
{a,c,b}
(iii)
{a,b}
(iv)
{b,c}
(v)
{d,c}
Question
22
22.
Which of the following are true?
a)
The ordinate of every point on y-axis is zero
b)
The ordinate of every point on x-axis is zero
c)
The abscissa of every point on x-axis is zero
d)
The abscissa of every point on y-axis is zero
(i)
{c,d}
(ii)
{a,c,b}
(iii)
{a,d,b}
(iv)
{a,b}
(v)
{b,d}
Question
23
23.
Which of the following are true?
a)
A horizontal line other than x-axis has no y-intercept
b)
A vertical line other than y-axis has no y-intercept
c)
A vertical line other than y-axis has no x-intercept
d)
A horizontal line other than x-axis has no x-intercept
(i)
{a,b}
(ii)
{a,c,b}
(iii)
{a,d,b}
(iv)
{b,d}
(v)
{c,d}
Question
24
24.
Equation of the line passing through a given point
(
x
1
,
y
1
)
and having slope
m
is
a)
None of the above
b)
(
y
−
y
1
)
m
= (
x
−
x
1
)
c)
(
y
−
y
1
) =
m
(
x
−
x
1
)
d)
(
y
−
x
1
) =
m
(
x
−
y
1
)
(i)
{c}
(ii)
{b,c}
(iii)
{d,a,c}
(iv)
{a,c}
Question
25
25.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
y
=
k
(ii)
y
=
0
(iii)
x
=
k
(iv)
x
=
0
(v)
x
=
y
Question
26
26.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
x
=
y
(ii)
x
=
0
(iii)
y
=
0
(iv)
x
=
k
(v)
y
=
k
Question
27
27.
If
a
x
+
b
y
+
c
= 0
is a straight line, the x-intercept is
(i)
-c
a
(ii)
a
(iii)
c
(iv)
b
(v)
-c
b
Question
28
28.
If
a
x
+
b
y
+
c
= 0
is a straight line, the y-intercept is
(i)
a
(ii)
-c
a
(iii)
c
(iv)
b
(v)
-c
b
Question
29
29.
The slope of the line
a
x
+
b
y
+
c
= 0
is
(i)
c
(ii)
-b
a
(iii)
-a
b
(iv)
b
(v)
a
Question
30
30.
In equation of the line
y
=
m
x
+
c
, the slope is
(i)
y
(ii)
c
(iii)
undefined
(iv)
x
(v)
m
Question
31
31.
In equation of the line
y
=
m
x
+
c
, the y-intercept is
(i)
x
(ii)
undefined
(iii)
c
(iv)
y
(v)
m
Question
32
32.
Write the given equation
(
10
x
+
2
y
−
6
)
=
0
in
y
=
m
x
+
c
form
(i)
y
=
(
−
5
x
+
1
)
(ii)
y
=
(
−
5
x
+
3
)
(iii)
y
=
(
−
5
x
+
6
)
(iv)
y
=
(
−
6
x
+
3
)
(v)
y
=
(
−
4
x
+
3
)
Question
33
33.
Write the given equation
y
=
(
−
1
9
x
+
41
9
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
1
7
x
+
y
−
41
9
)
=
0
(ii)
(
1
9
x
+
3
y
−
41
9
)
=
0
(iii)
(
1
9
x
+
y
−
41
9
)
=
0
(iv)
(
1
9
x
−
2
y
−
41
9
)
=
0
(v)
(
1
11
x
+
y
−
41
9
)
=
0
Question
34
34.
Find the equation of the displayed line
(i)
y
=
(
−
7
)
(ii)
y
=
(
−
6
)
(iii)
x
=
(
−
6
)
(iv)
y
=
(
−
5
)
(v)
4
y
=
(
−
6
)
Question
35
35.
Find the equation of the displayed line
(i)
x
=
(
−
5
)
(ii)
x
=
(
−
7
)
(iii)
x
=
(
−
6
)
(iv)
4
x
=
(
−
6
)
(v)
y
=
(
−
6
)
Question
36
36.
Find the equation of the line passing through the points
(
(
−
2
)
,
4
)
and
(
2
,
8
)
(i)
(
−
4
x
+
4
y
−
28
)
=
0
(ii)
(
3
x
−
4
y
+
24
)
=
0
(iii)
(
−
4
x
+
4
y
−
20
)
=
0
(iv)
(
5
x
−
4
y
+
24
)
=
0
(v)
(
4
x
−
4
y
+
24
)
=
0
Question
37
37.
Find the slope of the displayed line
(i)
(
-4
3
)
(ii)
(
-6
5
)
(iii)
(
-4
7
)
(iv)
(
-2
5
)
(v)
(
-4
5
)
Question
38
38.
The equation of the line in slope intercept form is
a)
x
=
c
y
+
m
b)
x
=
m
y
+
c
c)
y
=
m
x
+
c
d)
y
=
c
x
+
m
(i)
{d,a,c}
(ii)
{a,c}
(iii)
{c}
(iv)
{b,c}
Question
39
39.
The equation of the line in point slope form is
a)
(
y
−
y
1
) =
m
(
x
−
x
1
)
b)
(
y
1
−
y
)
m
= (
x
1
+
x
)
c)
(
y
−
y
1
)
m
= (
x
−
x
1
)
d)
(
y
−
x
1
) =
m
(
x
−
y
1
)
(i)
{a}
(ii)
{d,b,a}
(iii)
{c,a}
(iv)
{b,a}
Question
40
40.
The equation of the line passing through the points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
is
a)
(
y
−
y
1
) =
y
2
−
y
1
x
2
−
x
1
(
x
−
x
1
)
b)
(
x
−
x
1
) =
x
2
−
x
1
y
2
−
y
1
(
y
−
y
1
)
c)
(
y
−
y
1
) =
y
2
+
y
1
x
2
+
x
1
(
x
−
x
1
)
d)
(
x
−
x
1
) =
x
2
+
x
1
y
2
+
y
1
(
y
−
y
1
)
(i)
{d,b}
(ii)
{c,a}
(iii)
{c,b,a}
(iv)
{c,d,a}
(v)
{a,b}
Question
41
41.
The equation of the x-axis is
a)
y
=
1
b)
x
=
0
c)
y
=
0
d)
x
=
1
e)
x
=
y
(i)
{c}
(ii)
{d,e,c}
(iii)
{a,c}
(iv)
{b,c}
Question
42
42.
Find the equation of the line through
(
7
,
7
)
and y-intercept
9
(i)
(
−
7
x
+
63
)
=
0
(ii)
(
2
x
+
7
y
−
63
)
=
0
(iii)
(
x
+
7
y
−
63
)
=
0
(iv)
(
2
x
+
9
y
−
63
)
=
0
(v)
(
−
7
x
−
2
y
+
63
)
=
0
Question
43
43.
Find the equation of the line through
(
(
−
1
)
,
(
−
3
)
)
and x-intercept
5
(i)
(
3
x
−
3
y
−
15
)
=
0
(ii)
(
8
x
+
y
+
5
)
=
0
(iii)
(
3
x
−
6
y
−
15
)
=
0
(iv)
(
8
x
−
y
+
5
)
=
0
(v)
(
2
x
−
6
y
−
15
)
=
0
Question
44
44.
Find the x-intercept of the line passing
through points
(
6
,
(
−
6
)
)
and
(
(
−
4
)
,
(
−
1
)
)
(i)
-4
(ii)
-7
(iii)
-9
(iv)
-3
(v)
-6
Question
45
45.
Find the y-intercept of the line passing
through points
(
8
,
7
)
and
(
(
−
7
)
,
8
)
(i)
7
8
15
(ii)
37
5
(iii)
99
13
(iv)
23
3
(v)
113
Question
46
46.
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)
x
2
+
x
1
y
2
+
y
1
(iii)
x
2
+
y
1
y
2
+
x
1
(iv)
x
2
−
x
1
y
2
−
y
1
(v)
y
2
−
y
1
x
2
−
x
1
Question
47
47.
(
1
,
(
−
2
)
)
,
(
5
,
3
)
and
(
(
−
5
)
,
(
−
6
)
)
are the vertices of triangle ABC.
Find the equation of the altitude of the triangle through vertex C
(i)
(
4
x
+
8
y
+
50
)
=
0
(ii)
(
4
x
+
3
y
+
50
)
=
0
(iii)
(
3
x
+
2
y
−
21
)
=
0
(iv)
(
4
x
+
5
y
+
50
)
=
0
(v)
(
10
x
+
9
y
+
8
)
=
0
Question
48
48.
(
(
−
3
)
,
(
−
1
)
)
,
(
4
,
7
)
and
(
(
−
4
)
,
6
)
are the vertices of triangle ABC.
Find the equation of the median of the triangle through vertex C
(i)
(
−
15
2
x
+
3
y
−
39
2
)
=
0
(ii)
(
9
2
x
−
15
2
y
+
69
2
)
=
0
(iii)
(
3
x
+
11
2
y
−
15
)
=
0
(iv)
(
3
x
+
9
2
y
−
15
)
=
0
(v)
(
3
x
+
7
2
y
−
15
)
=
0
Question
49
49.
Equation of the line passing through origin and the point of intersection
of lines
(
13
x
−
14
y
+
34
)
=
0
and
(
5
x
−
11
y
−
15
)
=
0
(i)
(
−
5
x
+
8
y
)
=
0
(ii)
(
−
6
x
+
8
y
)
=
0
(iii)
(
−
6
x
+
6
y
−
18
)
=
0
(iv)
(
−
5
x
+
11
y
)
=
0
(v)
(
−
6
x
+
4
y
−
18
)
=
0
Question
50
50.
Equation of the line passing through
(
(
−
4
)
,
(
−
2
)
)
and the point of intersection
of lines
(
−
4
x
+
6
y
+
10
)
=
0
and
(
−
y
−
3
)
=
0
(i)
(
−
x
−
8
)
=
0
(ii)
(
−
x
−
2
y
−
8
)
=
0
(iii)
(
−
2
x
−
2
y
−
8
)
=
0
(iv)
(
−
3
x
−
y
)
=
0
(v)
(
−
3
x
+
2
y
)
=
0
Question
51
51.
Convert the line equation
a
x
+
b
y
+
c
= 0
into slope-intercept form
(i)
y
=
b
a
x
−
c
b
(ii)
y
=
-a
b
x
−
c
b
(iii)
y
=
b
a
x
−
b
c
(iv)
y
=
-b
a
x
−
c
b
Question
52
52.
Convert the line equation
a
x
+
b
y
+
c
= 0
into intercept form
(i)
x
(
b
c
)
+
y
(
a
c
)
= 1
(ii)
x
(
b
-c
)
+
y
(
a
-c
)
= 1
(iii)
x
(
a
-c
)
+
y
(
b
-c
)
= 1
(iv)
x
(
a
c
)
+
y
(
b
c
)
= 1
(v)
x
(
-c
a
)
+
y
(
-c
b
)
= 1
Question
53
53.
The points B
(
1
,
5
)
and D
(
(
−
8
)
,
6
)
are the opposite vertices
of a square ABCD. Find the equation of the diagonal AC
(i)
(
x
+
9
y
−
46
)
=
0
(ii)
(
x
+
7
y
−
46
)
=
0
(iii)
(
8
x
−
y
+
37
)
=
0
(iv)
(
9
x
−
y
+
37
)
=
0
(v)
(
9
x
+
y
+
37
)
=
0
Question
54
54.
Find the point of intersection of
(
−
15
y
−
75
)
=
0
and
the line joining points
(
8
,
(
−
7
)
)
and
(
4
,
4
)
(i)
(
91
11
,
(
−
6
)
)
(ii)
(
102
11
,
(
−
3
)
)
(iii)
(
80
11
,
(
−
5
)
)
(iv)
(
58
11
,
(
−
7
)
)
(v)
(
69
11
,
(
−
4
)
)
Question
55
55.
Find the point of intersection of
(
−
5
x
+
25
)
=
0
and
the line joining points
(
(
−
8
)
,
(
−
1
)
)
and
(
(
−
3
)
,
(
−
4
)
)
(i)
(
5
,
(
−
44
5
)
)
(ii)
(
4
,
(
−
39
5
)
)
(iii)
(
6
,
(
−
49
5
)
)
(iv)
(
7
,
(
−
34
5
)
)
(v)
(
3
,
(
−
54
5
)
)
Question
56
56.
Find the relation between x and y such that the point P
(
x
,
y
)
is equidistant from points
(
3
,
3
)
and
(
(
−
6
)
,
6
)
(i)
(
2
x
+
8
y
−
30
)
=
0
(ii)
(
−
9
x
+
5
y
−
27
)
=
0
(iii)
(
−
10
x
+
3
y
−
27
)
=
0
(iv)
(
−
9
x
+
3
y
−
27
)
=
0
(v)
(
2
x
+
6
y
−
30
)
=
0
Question
57
57.
The equation of the line passing through
(
(
−
8
)
,
(
−
1
)
)
and
having the same y-intercept as
(
−
11
x
+
y
−
16
)
=
0
is
(i)
(
17
x
−
8
y
+
128
)
=
0
(ii)
(
5
x
+
3
y
+
46
)
=
0
(iii)
(
17
x
−
5
y
+
128
)
=
0
(iv)
(
5
x
+
6
y
+
46
)
=
0
(v)
(
16
x
−
8
y
+
128
)
=
0
Question
58
58.
The slope of a line is the tangent of the angle made by the line with the
(i)
negative y-axis
(ii)
positive y-axis
(iii)
positive x-axis
(iv)
negative x-axis
Question
59
59.
Find the relation between x and y if the points
(
x
,
y
)
,
(
(
−
7
)
,
7
)
and
(
3
,
6
)
are collinear
(i)
(
−
x
−
10
y
+
63
)
=
0
(ii)
(
−
5
x
−
5
y
+
45
)
=
0
(iii)
(
−
9
x
−
15
y
+
42
)
=
0
(iv)
(
−
8
x
−
5
y
+
54
)
=
0
(v)
(
3
x
−
24
)
=
0
Question
60
60.
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
(
m
c
)
+
y
(
c
m
)
= 1
(iii)
x
(
-c
m
)
+
y
(
c
1
)
= 1
(iv)
x
(
m
-c
)
+
y
(
c
1
)
= 1
Question
61
61.
Which of the following lines pass through the origin?
(i)
(
x
+
11
y
−
58
)
=
0
(ii)
(
5
x
−
3
y
)
=
0
(iii)
(
7
x
+
2
y
−
31
)
=
0
(iv)
(
−
14
x
−
5
y
−
82
)
=
0
(v)
(
6
x
−
8
y
−
46
)
=
0
Question
62
62.
Which of the following lines do not pass through the origin?
(i)
(
−
5
x
+
2
y
)
=
0
(ii)
(
−
4
x
−
y
)
=
0
(iii)
(
4
x
−
3
y
)
=
0
(iv)
(
−
x
+
3
y
+
13
)
=
0
(v)
(
x
+
6
y
)
=
0
Question
63
63.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
28
11
)
)
,
(
(
−
1
)
,
(
−
43
11
)
)
,
(
0
,
(
−
58
11
)
)
,
(
1
,
(
−
73
11
)
)
,
(
2
,
(
−
8
)
)
?
(i)
y
=
4
(ii)
(
9
x
+
9
y
−
5
)
=
0
(iii)
(
−
15
x
−
11
y
−
58
)
=
0
(iv)
x
=
(
−
8
)
(v)
y
=
(
−
15
11
x
−
76
11
)
Question
64
64.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
37
5
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
53
5
)
)
,
(
1
,
(
−
61
5
)
)
,
(
2
,
(
−
69
5
)
)
?
(i)
(
−
8
x
−
5
y
+
14
)
=
0
(ii)
x
=
(
−
6
)
(iii)
x
=
(
8
5
y
−
22
5
)
(iv)
(
7
x
+
8
y
−
1
)
=
0
(v)
y
=
(
−
8
5
x
−
53
5
)
Question
65
65.
Which of the following equations satisfy the given points
(
(
−
2
)
,
18
7
)
,
(
(
−
1
)
,
10
7
)
,
(
0
,
2
7
)
,
(
1
,
(
−
6
7
)
)
,
(
2
,
(
−
2
)
)
?
(i)
x
=
(
−
6
)
(ii)
y
=
9
(iii)
y
=
(
−
16
13
x
+
21
13
)
(iv)
x
=
(
16
13
y
−
222
13
)
(v)
(
8
x
+
7
y
−
2
)
=
0
Question
66
66.
Which of the following equations satisfy the given points
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
6
)
,
(
0
,
6
)
,
(
1
,
6
)
,
(
2
,
6
)
?
(i)
(
−
13
x
−
8
y
−
46
)
=
0
(ii)
y
=
6
(iii)
y
=
(
−
13
8
x
−
7
)
(iv)
x
=
(
13
8
y
−
71
4
)
(v)
x
=
(
−
8
)
Question
67
67.
Which of the following equations satisfy the given points
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
0
)
,
(
(
−
4
)
,
1
)
,
(
(
−
4
)
,
2
)
?
(i)
(
4
x
+
3
y
−
1
)
=
0
(ii)
x
=
(
−
4
)
(iii)
y
=
(
−
5
8
x
−
7
2
)
(iv)
y
=
(
−
1
)
(v)
x
=
(
5
8
y
−
27
8
)
Question
68
68.
Which of the displayed lines represent the equation
(
5
x
−
5
y
+
15
)
=
0
?
(i)
line with point
R
(ii)
line with point
S
(iii)
line with point
O
(iv)
line with point
P
(v)
line with point
Q
Question
69
69.
Which of the displayed lines represent the equation
y
=
9
(i)
line with point
P
(ii)
line with point
R
(iii)
line with point
Q
(iv)
line with point
T
(v)
line with point
S
Question
70
70.
Which of the displayed lines represent the equation
x
=
(
−
1
)
(i)
line with point
R
(ii)
line with point
S
(iii)
line with point
T
(iv)
line with point
U
(v)
line with point
V
Question
71
71.
Which of the displayed lines represent the equation
y
=
(
x
+
3
)
(i)
line with point
W
(ii)
line with point
U
(iii)
line with point
S
(iv)
line with point
V
(v)
line with point
T
Question
72
72.
Which of the displayed lines represent the equation
y
=
(
−
1
7
x
)
(i)
line with point
T
(ii)
line with point
U
(iii)
line with point
R
(iv)
line with point
S
(v)
line with point
V
Question
73
73.
Find the coordinates of the orthocentre of the triangle
whose vertices are
(
7
,
0
)
,
(
(
−
8
)
,
(
−
7
)
)
and
(
(
−
4
)
,
(
−
4
)
)
(i)
(
(
−
426
17
)
,
806
17
)
(ii)
(
(
−
443
17
)
,
755
17
)
(iii)
(
(
−
477
17
)
,
789
17
)
(iv)
(
(
−
494
17
)
,
738
17
)
(v)
(
(
−
460
17
)
,
772
17
)
Question
74
74.
The point of intersection of x-axis and y-axis
(i)
(
0
,
9
)
(ii)
(
1
,
1
)
(iii)
(
1
,
0
)
(iv)
(
0
,
0
)
Question
75
75.
KM is the straight line of length
√
37
units.
If K has the coordinates
(
(
−
5
)
,
(
−
5
)
)
and M has coordinates
(k,-6)
,
find the possible values of k
(i)
(
(
−
1
)
,
(
−
13
)
)
(ii)
(
3
,
(
−
9
)
)
(iii)
(
0
,
(
−
10
)
)
(iv)
(
2
,
(
−
12
)
)
(v)
(
1
,
(
−
11
)
)
Question
76
76.
Find the point of intersection of x-axis and
the line joining points
(
3
,
0
)
and
(
(
−
4
)
,
3
)
(i)
(
9
7
,
0
)
(ii)
(
0
,
(
−
9
7
)
)
(iii)
(
(
−
3
)
,
0
)
(iv)
(
3
,
0
)
Question
77
77.
Find the point of intersection of y-axis and
the line joining points
(
3
,
(
−
3
)
)
and
(
2
,
2
)
(i)
(
0
,
(
−
12
)
)
(ii)
(
0
,
12
)
(iii)
(
0
,
12
5
)
(iv)
(
(
−
12
5
)
,
0
)
Question
78
78.
The points B
(
1
,
2
)
and D
(
(
−
7
)
,
0
)
are the opposite vertices
of a square ABCD. Find the other two vertices
(i)
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
4
)
,
5
)
(ii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
5
)
,
6
)
(iii)
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
4
)
,
5
)
(iv)
(
0
,
(
−
1
)
)
,
(
(
−
4
)
,
5
)
(v)
(
(
−
4
)
,
(
−
5
)
)
,
(
(
−
4
)
,
5
)
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (i)
5) (iv)
6) (i)
7) (iv)
8) (iv)
9) (ii)
10) (v)
11) (i)
12) (i)
13) (i)
14) (iv)
15) (i)
16) (ii)
17) (i)
18) (i)
19) (i)
20) (iii)
21) (iv)
22) (v)
23) (iv)
24) (i)
25) (i)
26) (iv)
27) (i)
28) (v)
29) (iii)
30) (v)
31) (iii)
32) (ii)
33) (iii)
34) (ii)
35) (iii)
36) (v)
37) (v)
38) (iii)
39) (i)
40) (v)
41) (i)
42) (ii)
43) (iii)
44) (v)
45) (i)
46) (v)
47) (iv)
48) (iv)
49) (i)
50) (ii)
51) (ii)
52) (v)
53) (iv)
54) (iii)
55) (i)
56) (iv)
57) (i)
58) (iii)
59) (i)
60) (iii)
61) (ii)
62) (iv)
63) (iii)
64) (v)
65) (v)
66) (ii)
67) (ii)
68) (iii)
69) (i)
70) (i)
71) (iii)
72) (iii)
73) (v)
74) (iv)
75) (v)
76) (iv)
77) (ii)
78) (iii)