Topic 2 Complex Number JEE MAIN 2026
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Let z be a complex number such that $|z-6|=5$ and $|z+2-6 i|=5$. Then the value of $z^{3}+3 z^{2}-15 z+141$ is equal to
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Let $\mathrm{A}=\{\mathrm{z} \in \mathrm{C}:|\mathrm{z}-2| \leq 4\}$ and $\mathrm{B}=\{\mathrm{z} \in \mathrm{C}:|\mathrm{z}-2|+|\mathrm{z}+2|=5\}$. Then the max $\left\{\left|\mathrm{z}_{1}-\mathrm{z}_{2}\right|: \mathrm{z}_{1} \in \mathrm{~A}\right.$ and $\left.\mathrm{z}_{2} \in \mathrm{~B}\right\}$ is
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Let z be the complex number satisfying $|z-5| \leq 3$ and having maximum positive principal argument. Then $34\left|\frac{5 z-12}{5 i z+16}\right|^{2}$ is equal to
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Let $\mathrm{S}=\{\mathrm{z}: 3 \leq|2 \mathrm{z}-3(1+\mathrm{i})| \leq 7\}$ be a set of complex numbers. Then $\operatorname{Min}_{\mathrm{z} \in \mathrm{S}}\left|\left(\mathrm{z}+\frac{1}{2}(5+3 \mathrm{i})\right)\right|$ is equal to
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Let $\mathrm{S}=\left\{\mathrm{z} \in \mathrm{C}:\left|\frac{\mathrm{z}-6 \mathrm{i}}{\mathrm{z}-2 \mathrm{i}}\right|=1\right.$ and $\left.\left|\frac{\mathrm{z}-8+2 \mathrm{i}}{\mathrm{z}+2 \mathrm{i}}\right|=\frac{3}{5}\right\}$. Then $\sum_{\mathrm{z} \in \mathrm{s}}|\mathrm{z}|^{2}$ is equal to
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- 1 week, 2 days ago
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Let z be a complex number such that $|z-6|=5$ and $|z+2-6 i|=5$. Then the value of $z^{3}+3 z^{2}-15 z+141$ is equal to
Viewing 7 topics - 1 through 7 (of 7 total)
