Question

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)​

Answer 1

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

Answer 2

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......