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Question

If three complex numbers are in A.P .Then they lie on a circle in the complex plane.

A
FALSE
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B
TRUE
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Solution

The correct option is A FALSE
Let three complex numbers be
Z1,Z2 and Z3

Since , Z1,Z2 and Z3 are in A.P.
(Z1+Z3)2=Z2

So Z2 is the mid-point of line segment joining the points Z1 and Z3.

Z1,Z2,Z3 lie on a straight line .

Hence, the given statement is false.

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