in which quadrant the points which divide the line segment joining the points (5,4) and (-6,-7) in the ratio 1:3 internally lies?
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Answer:
We know if a point divides the line segment AB joining two points in given ratio m:n internally, then by section formula, the co-ordinates of a point are given as
=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Hence, the ratio is m:n=2:1 and
A(x
1
,y
1
) = (3,4) and B(x
2
,y
2
) = (7,−6)
∴ Point =(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
=(
2+1
2×7+1×3
,
2+1
2×−6+1×4
)
=(
3
17
,
3
−8
)
∴ The point lies in IV quadrant.
Step-by-step explanation:
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