Question

This question is of Co-ordinate geometry:
Find the ratio in which P(4,m) divides the line segment joining the points A(2,3) and B(6,-3). Hence find m!!

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Answer 1

here is the answer friend

Answer 2

A(2,3) ------------------P(4,m)--------------B(6,-3)

Applying section formula ,
Let λ is the ratio by which P divides the line joining A and B.
x = (λx₂ + x₁)/(λ + 1)
here , x = 4 , x₁ = 2 , x₂ = 6
Now, 4 = (6λ + 2)/(λ + 1)
4(λ + 1) = 6λ + 2
4λ + 4 = 6λ + 2
2 = 2λ ⇒ λ = 1
Hence, p divides the line AB into 1 : 1 ratio.

Now, for y - co - ordinate 
y = (λy₂ + y₁)/(λ + 1) 
m = (1 × -3 + 3)/(1 + 1) = 0
Hence , m = 0

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i have two answer one is in pic and second is here