Question

The ratio in which the line segment joining the points A(-6, 10) and B(3, - 8) is divided by the point C(- 4, 6) is ..........​

Answer 1

Answer:2:7

Step-by-step explanation:

let the ratio be k:1

Then,

C(-4,6) =(3k-6)/k+1 ,( -8k+10)/k+1

=>-4=(3k-6)/2 , 6 = (-8k+10)/k+1

=>-4k-4=3k-6

=>-4k-3k=-6+4

=>-7k=-2

=>k=2/7 {-/- cut}

Therefore, the reqd. ratio is 2:7