the coordinates of the point which divides the line joining of (2,4) and (3,2) externally in the ratio 1:3
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the coordinates of the point which divides the line joining of (2,4) and (3,2) externally in the ratio 1:3
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Answer:
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Step-by-step explanation:
The coordinates of point when (x
1
,y
1
) and (x
2
,y
2
) are divided in m:n
(i) internally is (
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
(ii) externally (
m−n
mx
2
−nx
1
,
m−n
my
2
−ny
1
)
Let the point be P(h,k)
(1) For internal division
h=
2+3
2(4)+3(−1)
=
5
5
=1
k=
2+3
2(−5)+3(2)
=
5
−4
⇒P(1,
5
−4
)