# Point A is at #(2 ,-6 )# and point B is at #(-8 ,-3 )#. Point A is rotated #pi/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

Feb 6, 2018

New coordinate of

Distance changed (increase) between A & B by

#### Explanation:

A (2, -6), B(-8, -3)

Point A rotated clockwise about the origin by

That means A changes from fourth quadrant to third quadrant.

Both x & y are negative.That means, x -> -y and y -> x.

Distance changed between A & B by th#pi/2) clockwise rotation of A about the origin is