# Point A is at #(-2 ,-8 )# and point B is at #(-5 ,3 )#. Point A is rotated #(3pi)/2 # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?

##### 1 Answer

Mar 12, 2016

Let Initial polar coordinate of A ,

Given Initial Cartesian coordinate of A ,

So we can write

After

Initial distance of A from B(-5,3)

final distance between new position of A(8,-2) and B(-5,3)

So Difference=

**also consult the link**