jee-main 2019 Q62

jee-main · India · session2_12apr_shift2 Complex Numbers Arithmetic Systems of Equations via Real and Imaginary Part Matching

Let $z \in C$ with $\operatorname { Im } ( z ) = 10$ and it satisfies $\frac { 2 z - n } { 2 z + n } = 2 i - 1$ for some natural number $n$. Then
(1) $n = 20$ and $\operatorname { Re } ( z ) = 10$
(2) $n = 40$ and $\operatorname { Re } ( z ) = 10$
(3) $n = 20$ and $\operatorname { Re } ( z ) = - 10$
(4) $n = 40$ and $\operatorname { Re } ( z ) = - 10$

Let $z \in C$ with $\operatorname { Im } ( z ) = 10$ and it satisfies $\frac { 2 z - n } { 2 z + n } = 2 i - 1$ for some natural number $n$. Then\\
(1) $n = 20$ and $\operatorname { Re } ( z ) = 10$\\
(2) $n = 40$ and $\operatorname { Re } ( z ) = 10$\\
(3) $n = 20$ and $\operatorname { Re } ( z ) = - 10$\\
(4) $n = 40$ and $\operatorname { Re } ( z ) = - 10$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q13 Q61 Q62 Q63 Q64