Question

If A and B are two points having coordinates (−2, −2) and (2, −4) respectively, find the coordinates of P such that AP = $\frac{3}{7}$AB.

Answer 1

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

Since,

So,

Now according to the section formula if any point P divides a line segment joining andin the ratio m: n internally than,

Therefore P divides AB in the ratio 3: 4. So,