If point A divides the segment PQ in the ratio 1 : 3 with P(- 2, 7) and Q(- 2, - 5) then the coordinates of the point A are
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Answer:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Let the coordinates of point A be (x, y).
P(-2, -5), Q(4, 3), a : b = 3 : 4
Therefore,
x=
3+4
3×4+4×(−2)
=
7
12−8
=
7
4
y=
3+4
3×3+4×(−5)
=
3
9−20
=
7
−11
(x,y)=(
7
4
,
7
−11
)
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