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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Answer:

Correct Answer: 35. False

Solution:

  1. Since, z1,z2,z3 are in AP.

2z2=z1+z3

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



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