# A line segment with endpoints at #(1 , -2 )# and #(1, 8 )# is rotated clockwise by #(3 pi)/2#. What are the new endpoints of the line segment?

##### 1 Answer

Feb 3, 2018

The new end points are

#### Explanation:

The line joining

forms a line parallel to y axis since x is same (1) for both the points

Let the line rotate with the line between the points as diameter.

The centre will be the mid point of the two points

When the line rotates clockwise by

Radius of rotation being distance from centre to its end point

from

x coordinate of

x coordinate of

Now,

Also,

Thus, the new end points are