Question

If the point P(2,1) lies on the line segment joining points A(4,2) and B (8,4) then :

(a)AP=1/3AB (b)AP=PB (c)PB=1/3AB (d)AP=1/2AB

{ please solve using section formula that will be more understandable and explain how you got the answer }<3​

Answer 1

Answer:

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Answer 2

Answer:

A ==========P ==============B

A(4 , 2) B(8 , 4) and P (2,1)

use section formula ,

let PA : PB =m : n

then,

2 ={8 × m + 4 × n}/(m + n)

2(m + n) =(8m + 4n)

2m +2n =8m + 4n

-6m = 2n

m/n = 1 : -3

here negative sign means p externally divided of AB .

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