point p divides a line segment joining A(3,4) and B(6,2) in ratio 1:3 find the co-ordinates of point p
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Step-by-step explanation:
Let the coordinates of P be (x, y). Given m:n=2:5
(x
1
,y
1
)=(4,−5) and (x
2
,y
2
)=(6,3)
by section formula,
x=
m+n
mx
2
+nx
1
=
2+5
2(6)+5(4)
=
7
12+20
=
7
32
y=
m+n
my
2
+my
1
=
2+(5)
2(3)+5(−5)
=
7
6−25
=
7
−19
∴ Coordinates of P=(
7
32
,
7
−19
)
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