Q4 If a line is drawn with chalk
powder from P to the point where
flag is posted, then the distance
between P and flag is
I)4
2)3
3)2
4)1
Answers
Answer:
Steps:
From the Figure,
Given,
By observation, that Niharika posted the green flag at of the distance
P
i.e.,
(
1
4
×
100
)
m
=
25
m
from the starting point of
2
n
d
Therefore, the coordinates of this point
P
is
(
2
,
25
)
.
Similarly, Preet posted red flag at
1
5
of the distance
Q
i.e.,
(
1
5
×
100
)
m
=
20
m
from the starting point of
8
t
h
Therefore, the coordinates of this point
Q
are
(
8
,
20
)
We know that the distance between the two points is given by the Distance Formula,
√
(
x
1
−
x
2
)
2
+
(
y
1
−
y
2
)
2
…
(
1
)
To find the distance between these flags
P
Q
by substituting the values in Equation (1),
P
Q
=
√
(
8
−
2
)
2
+
(
25
−
20
)
2
=
√
36
+
25
=
√
61
m
The point at which Rashmi should post her blue flag is the mid-point of the line joining these points.
Let this point be
M
(
x
,
y
)
.
By Section formula
P
(
x
,
y
)
=
[
m
x
2
+
n
x
1
m
+
n
,
m
y
2
+
n
y
1
m
+
n
]
…
(
2
)
x
=
2
+
8
2
,
y
=
25
+
20
2
x
=
10
2
,
y
=
45
2
x
=
5
,
y
=
22.5
Therefore, Rashmi should post her blue flag at
22.5
m
on
5
t
h
line
Answer:
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