Question

find the ratio in which the line segment joining the points (-3,10) and (6,-8) is divided by (-1,6).​

Answer 1

Answer:

(-3,10) &(6,-8) is divided by pt (-1,6)

lets take m:n as the ratio in which the line is divided by (-1,6)

using point formula

(-1,6) =[mx2+nx1/m+n , my2+ny1/m+n]

(-1,6) =[-6m-3n/m+n , -8m+10n/m+n]

-1= -6m-3n/m+n

-(m+n)= -(6m+3n)

m+n= 6m+3n

n-3n=6m-m

2n=5m

-l2/5=m/n

•°• the ratio is 2:5

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