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Question

If three complex numbers are in A.P., then they lie on   


Your Answer
A
A circle in the complex plane
Correct Answer
B
A straight line in the complex plane
Your Answer
C
A parabola in the complex plane
Your Answer
D
None of these

Solution

The correct option is B A straight line in the complex plane

Let z1,z2,z3 be three complex numbers in A.P.
Then 2z2=z1+z3.
Thus the complex number z2 is the mid point of the line joining the points zi and z3
So the three points z1,z2 and z3 are in a straight line.

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