Question

Find the coordinates of the point which divide the line segment joining the points (-4, 0) and (0, 6) in four equal parts.

Answer 1

Let A(-4, 0) and B(0, 6) be the given points

And, let P, Q and R be the points which divide AB is four equal points.

Now, we know that AP: PB = 1: 3

Using section formula the coordinates of P are

And, it’s seen that Q is the mid-point of AB

So, the coordinates of Q are

Finally, the ratio of AR: BR is 3: 1

Then by using section formula the coordinates of R are