Question

If the line 2x+y=k passes through the point (1,1) and (2,4) Which divide the linesegment in the ratio 3:2 then what is value of k

Answer 1

Answer:

k=6

Step-by-step explanation:

let the point be point P

P(x,y)=

m1=3

m2=2

formula used=m1x2+m2x1/m1 + m2,m1y2+m2y1/m1+m2

=3(2)+2(1)/5 , 3(4)+2(1)/5

=6+2/5 , 12+2/5

=P(8/5,14/5)

as per the equation

2x+y=k

2(8/5)+(14/5)=k

16+14/5=k

30/5=k

6=k