Question

If A and B are two points having coordinates (−2, −2) and (2, −4) respectively, find the coordinates of P such that `AP = 3/7 AB`

Answer 1

We have two points A (−2,−2) and B (2,−4). Let P be any point which divide AB as,

`AP = 3/7 AB`

Since 

`AB = (AP + BP)`

So,

7AP = 3AB

7AP = 3(AP + BP)

4AP = 3BP

`(AP)/(BP) = 3/4`

Now according to the section formula if any point P divides a line segment joining `A(x_1,y_1)` and `B(x_2,y_2)` in the ratio m: n internally than,

P(x,y) = (nx_1 + mx_2)/()m = n