Question

If the point P(-3, 2/3) lies on the line segment joining the points A(-5, -4) and B(-2,3) , then
1. AP=3PB
2. AP= 2PB
3. AP= 1/2AB
4. AP=1/3 AB
Please show the process also.​

Answer 1

Answer:

option 2

Step-by-step explanation:

1. distance between (x, y) and (a, b) is
2. $\sqrt{( {x - a)}^{2} + {(y - b)}^{2} }$
3. $ap \: = \: \frac{2 \times \sqrt{58} }{3}$
4. $pb = \frac{ \sqrt{58} }{3}$
5. so ap = 2 * pb