[JEE Advanced 1984] If $Z_1,Z_2,Z_3$ are vertices of an equilateral triangle with $|Z_1|=|Z_2|=|Z_3|$, then $Z_1+Z_2+Z_3=0$.
If $Z_1,Z_2,Z_3$ are vertices of an equilateral triangle with $|Z_1|=|Z_2|=|Z_3|$, then $Z_1+Z_2+Z_3=0$.
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 1mo ago
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Answer: True.
Equal moduli put the circumcentre at the origin; for an equilateral triangle the centroid coincides with it, so $Z_1+Z_2+Z_3=3\cdot0=0$.
JEE Advanced 1984 · Complex Numbers — verified solution by the Vidaara Team.
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