If \( z_{1} \) and \( z_{2} \) are two complex number and if \( \arg \frac{z_{1}+z_{2}}{z_{1}-z_... VIDEO
If \( z_{1} \) and \( z_{2} \) are two complex number and if \( \arg \frac{z_{1}+z_{2}}{z_{1}-z_{2}}=\frac{\pi}{2} \) but \( \left|z_{1}+z_{2}\right| \neq\left|z_{1}-z_{2}\right| \) then prove that the figure formed by the 0 , \( z_{1}, z_{2} \) and \( z_{1}+z_{2} \) is a rhombus but not a square
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