 Hello and welcome to the session. Let us understand the following problem today. Show that points A, A comma B plus C, B, B comma C plus A, C, C comma A plus B are collinear. Now before writing the solution, let us look at the key idea. Let us understand what are collinear points. Three or more than three points are said to be collinear points if they lie in the same straight line. That is, area of triangle ABC is equal to zero. Now let us write the solution. We have three points given to us as A comma B plus C, B comma C plus A and C comma A plus B. Now area of triangle ABC will be equal to half into A B plus C1 B C plus A1 C A plus B1. Now solving this we get half into A plus B plus C B plus C1 A plus B plus C C plus A1 then A plus B plus C A plus B1. This we have got by applying C1 tends to C1 plus C2. Now which is equal to half into taking A plus B plus C comma from this column. We are left with one B plus C1 one C plus A1 one A plus B1. Now here we can see that these this column and this column are identical. So the terminal for this becomes zero. Therefore we get it equal to half into A plus B plus C into zero which is equal to zero. Hence given points are collinear. Hence proved. I hope you understood the problem. Bye and have a nice day.