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