Question

Find the value of k in k + - 2/5 = 1/3​

Answer 1

Answer:

Since points are collinear,

so, x1(y2−y3)+x2(y3−y1)+x3(y1−y2)=0

Take (7,−2) as (x1,y1), (5,1) as (x2,y2) and (3,k) as (x3,y3), we have

7(1−k)+5(k+2)+3(−2−1)=0

⇒ 7−7k+5k+10−9=0

⇒ 2k=8 

⇒ k=4