find the coordinates of the point which divides the join of (-1 7) and (4 -3) in the ratio of 7:
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Step-by-step explanation:
THe coordinates of a point say
P
dividing a line segment
A
B
in the ratio
l
:
m
, where
A
(
x
1
,
y
1
)
and
B
(
x
2
,
y
2
)
are
(
l
x
2
+
m
x
1
l
+
m
,
l
y
2
+
m
y
1
l
+
m
)
Here we have to find the point
P
, that divides the line segment directed from
A
(
10
,
4
)
to
B
(
2
,
8
)
in the ratio of
1
:
4
, hence coordinates of point
P
are
(
1
×
2
+
4
×
10
1
+
4
,
1
×
8
+
4
×
4
1
+
4
)
or
(
42
5
,
24
5
)
or
(
8.4
,
4.8
)
graph{((x-10)^2+(y-4)^2-0.01)((x-2)^2+(y-8)^2-0.01)((x-8.4)^2+(y-4.8)^2-0.01)(x+2y-18)=0 [0.59, 10.59, 3.18, 8.18]}
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