Write down the Section Formula.
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Step-by-step explanation:
a point P = (x , y)P=(x,y) divides the line joining two points A = (a , b)A=(a,b) and B = (c , d)B=(c,d) in the ratio m : nm:n internally, then the coordinates of PP are given by
P~(x , y) = \left (\dfrac{c \cdot m + a \cdot n}{m + n} , \dfrac{d \cdot m + b \cdot n}{m + n} \right).
P (x,y)=(
m+n
c⋅m+a⋅n
,
m+n
d⋅m+b⋅n
).
If PP divides ABAB externally in the ration m : nm:n, then
P~(x , y) = \left(\dfrac{c \cdot m - a \cdot n}{m - n} , \dfrac{d \cdot m - b \cdot n}{m - n} \right).
P (x,y)=(
m−n
c⋅m−a⋅n
,
m−n
d⋅m−b⋅n
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