Toronto Math Forum

MAT334--2020S => MAT334--Tests and Quizzes => Quiz 1 => Topic started by: Guan Zhaoqing on January 28, 2020, 09:55:22 PM

Title: TUT0301 Quiz1
Post by: Guan Zhaoqing on January 28, 2020, 09:55:22 PM
Question:
              Write the equation of the circle through 0, 2+2i, and 2-2i.

Answer:
            The circle pass through (0,0), (2,2), (2,-2)
            So, the circle is centerd at (2,0) and has radius 2.
            Thus, the equation would be: (x-2)^2 + y^2 = 4
            In complex number notation: |z-2|=2, where z is complec number.