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Let $\mathrm{z} \in \mathrm{C}$ be such that $\frac{\mathrm{z}^{2}+3 \mathrm{i}}{\mathrm{z}-2+\mathrm{i}}=2+3 \mathrm{i}$. Then the sum of all possible values of $\mathrm{z}^{2}$ is
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in: Jee Mains
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- 2 weeks, 4 days ago
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Let x and y be real number such that $50\left(\frac{2 \mathrm{x}}{1+3 \mathrm{i}}-\frac{\mathrm{y}}{1-2 \mathrm{i}}\right)=31+17 \mathrm{i}, \mathrm{i}=\sqrt{-1}$. Then the value of 10(x -3y) is
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- 2 weeks, 4 days ago
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Let z be a complex number such that $|z+2|=|z-2|$ and $\arg \left(\frac{z+3}{z-i}\right)=\frac{\pi}{4}$. Then $|z|^{2}$ is equal to
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- 2 weeks, 4 days ago
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Let $\mathrm{S}=\left\{\mathrm{z} \in \mathrm{C}: \mathrm{z}^{2}+4 \mathrm{z}+16=0\right\}$. Then $\sum_{\mathrm{z} \in \mathrm{S}}|\mathrm{z}+\sqrt{3} \mathrm{i}|^{2}$ is equal to
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- 2 weeks, 4 days ago
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Let $\mathrm{z} \in \mathrm{C}$ be such that $\frac{\mathrm{z}^{2}+3 \mathrm{i}}{\mathrm{z}-2+\mathrm{i}}=2+3 \mathrm{i}$. Then the sum of all possible values of $\mathrm{z}^{2}$ is
