In what ratio does the point (3, a) divide the join of (1, 7) & (6, −3)? Also, find a.
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In what ratio does the point (3, a) divide the join of (1, 7) & (6, −3)? Also, find a.
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Answer:
We know that, the coordinates of the point dividing the line segment joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n is given by (
m
1
+m
2
1
m
1
x
2
+m
2
x
1
,
m
1
+m
2
m
1
y
2
+m
2
y
1
)
Given (x
1
,y
1
)=(−1,7); (x
2
,y
2
)=(4,−3)
(m
1
,m
2
)=2:3
Coordinates of point of intersection of line segment is
(
2+3
(2)(4)+(3)(−1)
,
2+3
(2)(−3)+(3)(7)
)
=(5/5,15/5)
=(1,3)