Question

three consecutive vertices of parallelogram are (a+b, a-b) , (2a+b,2a-b) and a-b ,a+b find the fourth vertix of parallelogram

Answer 1

Remember the following formula to find the fourth vertex of any paralleogram whose first three vertex coordinates are given.The solution in your case is D(x,y) = (a+b-2a-b+a-b , a-b-2a+b+a+b) Therefore , D(x,y) = (-b,b) Where x and y are the coordinates of the fourth vertex.