If \( z_{1} \) and \( z_{2} \) and two complex numbers and if \( \m...
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If \( z_{1} \) and \( z_{2} \) and two complex numbers and if
\( \mathrm{P} \)
\( \arg \frac{z_{1}+z_{2}}{z_{1}-z_{2}}=\frac{\pi}{2} \) but \( \left|z_{1}+z_{2}\right| \neq\left|z_{1}-z_{2}\right| \) then the figure
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formed by the points represented by \( O, z_{1}, z_{2} \) and \( z_{1}+z_{2} \) is:
(1) a parallelogram but not a rectangle or a rhombus.
(2) a rectangle but not a square.
(3) a rhombus but not a square.
(4) a square.
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