Complex Numbers Condition Of Collinearity Of Points - Math Forums

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You are using an out of date browser. It may not display this or other websites correctly.You should upgrade or use an alternative browser. Complex numbers condition of collinearity of points
  • Thread starter sachinrajsharma
  • Start date Mar 20, 2013
  • Tags collinearity complex condition numbers points
S

sachinrajsharma

Joined Feb 2013 114 Posts | 0+ What is the condition of collinearity of three points (complex points): a+bi; x+yi; m+ni in complex plane? \frac{y-b}{x-a}=\frac{n-y}{m-x}=\frac{b-n}{a-m} the slope of all these points should be equal. ZardoZ

ZardoZ

Joined Nov 2010 2K Posts | 137+ Greece, Thessaloniki \left|\begin{matrix}a & b & 1 \\ x&y&1\\m & n &1 \end{matrix}\right|=0\Leftrightarrow b m - a n - b x + n x + a y - m y=0 Login or Register / Reply

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