Which of the following describes the fixed points of the transformation T(x,y)=(12x−32y,32x+12y)+(2,1)T(x, y) = (\frac{1}{2}x - \frac{\sqrt{3}}{2}y, \frac{\sqrt{3}}{2}x + \frac{1}{2}y) + (2, 1)T(x,y)=(21x−23y,23x+21y)+(2,1)?
A single point (2−3,1+23)(2 - \sqrt{3}, 1 + 2\sqrt{3})(2−3,1+23)
A single point (2+3,1−23)(2 + \sqrt{3}, 1 - 2\sqrt{3})(2+3,1−23)
There are no fixed points
The entire line y=3xy = \sqrt{3}xy=3x