Question

If the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ratio 2 : 3 then find the value of k. 

Answer 1

Here, the point C(k,4)  divides the join of A(2,6)  and  B(5,1)  in ratio 2:3. So

`k = (2xx5+3xx2)/(2+3)`

`=(10+6)/5`

`=16/5`

Hence , `k = 16/5`.