Math, asked by sudhanshu963, 11 months ago

Find the ratio in which the point P(-4, 6) divides the line segment AB joining the points A(6,
-10), and B(3, -8)​

Answers

Answered by IamIronMan0
2

Step-by-step explanation:

Let ratio be k : 1

Then

 \:  \:  \:  \:  \:  \:  \:  \:  - 4 =  \frac{3k + 6}{k + 1}  \\  \\  \implies \:  - 4k - 4 = 3k + 6 \\ \implies \: \:  \:  7k =  - 10 \\ \implies \:  \: \:  \:  k = { - 7 \over 10}

So ratio is -7 : 10 . Negative sign means it divides externally

Answered by Anonymous
4

Answer:

let the ratio be k:1

x=k×3+1x6/k+1

-4=3k+6/k+1

-4(k+1)=3k+6

-4k-4=3k+6

-7k=10

-10=7k

k=-7/10

then the ratio is

-7:10......

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