find the co-ordinates of the point whi
ch divides the line joining A(5,-4)
and B(-1,5) internally In The ratio:3:2
Answers
Answered by
1
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
)
(2) For external division
h=
2−3
2(4)−3(−1)
=
−1
8+3
=−11
k=
2−3
2(−5)−3(2)
=
−1
−10−6
=16
⇒P(−11,16)
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