Question

if the point p(1,2)lies on the line segment joining the points a(2,4)and b(4,8)then find ap/ab

Answer 1

simplest way is to use section formula....
u can also use distance formula....

Answer 2

Answer:

The value of $\frac{AP}{AB}$ is $\frac{1}{2}$.

Step-by-step explanation:

The given coordinates are P(1,2), A(2,4) and B(4,8). Point P lies on the line AB.

The distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AP=\sqrt{(2-1)^2+(4-2)^2}$

$AP=\sqrt{1+4}=\sqrt{5}$

$AB=\sqrt{(4-2)^2+(8-4)^2}$

$AB=\sqrt{4+16}=\sqrt{20}=2\sqrt{5}$

$\frac{AP}{AB}=\frac{\sqrt{5}}{2\sqrt{5}}=\frac{1}{2}$

Therefore the value of $\frac{AP}{AB}$ is $\frac{1}{2}$.