 Hello friends, welcome to the session. I am Alka. Let's discuss the given question. Find a relation between x and y if the points x, y, 1, 2 and 7, 0 are collinear. Now let's begin with the solution. We are given in the question that the three points x, y, 1, 2 and 7, 0 are collinear. Therefore the area of the triangle will be 0 since no such triangle is possible with three collinear points. So we know that area of triangle is x1 into y2 minus y3 plus x2 y3 minus y1 plus x3 y1 minus y2. Now since we are given that the three points are collinear, therefore the area of triangle will be 0. Therefore, now we will find the area of the triangle using the three points x, y, 1, 2 and 7, 0. Area of triangle that is 1 by 2 into x1 is x2 minus 0 plus 1 0 minus y plus 7 y minus 2 equal to 0. So this is equal to or we can say 1 by 2 2x minus y plus 7 y minus 14 equal to 0 or 2x plus 6 y minus 14 equal to 0. Now on dividing both sides by 2 dividing both sides by 2 we get plus 3 y minus 7 equal to 0. Now since we have to find the relation between x and y, therefore the equation x plus 3 y minus 7 equal to 0 is the required relation. So we can say therefore the required relation between will be x plus 3 y minus 7 equal to 0. Hope you understood the solution and enjoyed the session. Goodbye and take care.