Question

Determine the ratio in which the point P(m,6) divides the join of A(-1,3) and B(2,8).Also find the value of m .​

Answer 1

Answer:

32.1 is ans

Step-by-step explanation:

Let the required ratio be k : 1. Then, the coordinates of P are (2k-4k+1,8k+3k+1). ∴8k+3k+1=6⇒8k+3=6k+6⇒2k=3⇒k=32. So, the required ratio is 32:1

Answer 2

Step-by-step explanation:

A(x1,y1)=(-1,3)

B(x2,y2)=(2,8)

p(x,y)=(x2+x1)(y2+y1/2)

p(x,6)=(2-1/2)(8+3/2)

x=2-1/2

1x=2/2

1x=1

x=1/1

x=1

m=1

So, p(m,6)=(1,6).

Thank you all