# Point A is at #(-5 ,9 )# and point B is at #(-1 ,4 )#. 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

Feb 6, 2018

New coordinates of

Increase in distance caused by the rotation is

#### Explanation:

Point A is in II quadrant and moves to III quadrant where both x & y are negative.

By distance formula,

Increase in distance caused by the rotation is