The x-axis meets the line segment joining A(-1, 4) , B(3, -7) at a point P. The point P divides AB internally in the ratio:
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Answer:
Let’s assume the co-ordinates of point A, lying on x-axis be (x,0) and the co-ordinates of point B (lying y-axis) be (0,y).
Given,
P=(−4,−2) and AP:PB=1:2
By section formula,
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
(−4,−2)=(
1+2
1×0+2×x
,
1+2
1×y+2×0
)
(−4,−2)=(
3
2x
,
3
y
)
−4=2x/3 and −2=y/3
x=−6 and y=−6
Step-by-step explanation:
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