Question

Find the ratio in which the points P(m,6) divides the join of A(-4,3)and B(2,8).Also ,find the value of m.​

Answer 1

Answer:

​Ratio, λ:1 =  2 3  :1 =3:2 m=  5 −2

Step-by-step explanation:

Let point P divides AB in ratio λ:1

Section Formula: If point (x,y) divides line joining two points in  

(x  1  ,y  1  ) and (x  2 ,y  2  ) in ratio m:n internally

x=  m+n /mx  

2 1  +nx  

m= λ+1

2λ−4  =  2 3+1 2×  2 3 −4  =  5 −2

Now, y=  m+n /my  

2 1  +ny  

6=  λ+1

8λ+3

​6λ+6=8λ+3

2λ=3 ⇒λ=  2 3

​Ratio, λ:1 =  2 3  :1 =3:2 m=  5 −2

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