Question

If the point P(1,4) lies on the line segmentsjoining the point A(3,12) and B(5,20), then find AP/AB​

Answer 1

Answer:

Let P divide AB in k:1

⇒1=

k+1

4k+2

⇒4k+2=k+1

⇒3k=−1⇒k=−1/3

⇒ P divides AB externally in 1:3 ⇒

PB

PA

=

3

1

⇒3PA=PB

⇒3PA=PA+AB

⇒2PA=AB⇒PA/AB=1/2