Question

in what ratio does the point - 4,6 divide the line segment joining the point - 6, 10 and 3, - 8​

Answer 1

Instead of taking m: n, take k:1 where, k = m\n.

Then use the formula :

(kx2 + x1)\ (k + 1)

and

ky2 + y1)\ (k + 1).

Then you will get the value of k = 2\7.

which means that m\n = 2\7

Therefore, ratio m:n = 2:7.