Complex Numbers 2 Question 34

35. If three complex numbers are in AP. Then, they lie on a circle in the complex plane

(1985 M)

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Solution:

  1. Since, $z _1, z _2, z _3$ are in AP.

$\Rightarrow \quad 2 z _2=z _1+z _3$

i.e. points are collinear, thus do not lie on circle. Hence, it is a false statement.



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