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Kolpachyov

Find the ratio in which P (4, m) divides the line segment joining the pointsA (2, 3) and B (6, -3). Hence find m.

answers: 1
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Answer:

Section formula if a point P(x,y) divides the line segment joining A(x

1

,y

1

)B(x

2

,y

2

) in ratio of m:n

Then,

(x,y)=(

m+n

mx

1

+nx

2

,

m+n

my

1

+ny

2

)

Let P divides AB in ratio of k:1

4=

k+1

6k+2

4k+4=6k+2

k=1

Again using section formula;

m=

1+1

−3.1+3.1

m=0

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