# Point A is at #(1 ,-4 )# and point B is at #(-9 ,-2 )#. 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

hew coordinate (4,1)

Change in distance

#### Explanation:

Distance of initial position of the point A i.e. P (1.-4) from origin O is the radius of the circular path **not required**

If the initial

Initial x-coordinate of A at P is

Initial y-coordinate of A at P is

After clockwise rotation at an angle

The distance between P,Q

**not wanted**

Initial distance between A(1,-4)i.e.P andB(-9-2)

Fnitial distance between A(4,1)i.e.Q andB(-9-2)

Change in distance