Let t be a complex number *.t. |t| = 1, then z = (at + b)/ (t - c) describes ( where a and b are also complex numbers)
(1) A circle as t varies if |c| ≠ 1/ 2
(2) A circle as t varies if |c| =1
(3) A line as t varies if |c| = 1
(4) of these
Correct option is (3) A line as t varies if |c| = 1
Explanation :
