jee-main 2020 Q52

jee-main · India · session1_09jan_shift1 Complex Numbers Argand & Loci Intersection of Loci and Simultaneous Geometric Conditions

Let $z$ be a complex number such that $\left| \frac { z - i } { z + 2 i } \right| = 1$ and $| z | = \frac { 5 } { 2 }$. Then, the value of $| z + 3 i |$ is
(1) $\sqrt { 10 }$
(2) $\frac { 7 } { 2 }$
(3) $\frac { 15 } { 4 }$
(4) $2 \sqrt { 3 }$

Let $z$ be a complex number such that $\left| \frac { z - i } { z + 2 i } \right| = 1$ and $| z | = \frac { 5 } { 2 }$. Then, the value of $| z + 3 i |$ is\\
(1) $\sqrt { 10 }$\\
(2) $\frac { 7 } { 2 }$\\
(3) $\frac { 15 } { 4 }$\\
(4) $2 \sqrt { 3 }$

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