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[JEE Advanced 1985] if three complex numbers are in a p then they lie on a circle

VAVidaara Admin Asked 2d ago 0 views 1 answer
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If three complex numbers are in A.P., then they lie on a circle in the complex plane.

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Answer: False.

Numbers in A.P. satisfy $z_2-z_1=z_3-z_2$, so they are collinear — they lie on a straight line, not (in general) a circle.

JEE Advanced 1985 · Complex Numbers — verified solution by the Vidaara Team.

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