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JEE Main 2019 · 12 Apr · Shift II

JEE Main 2019 Mathematics question on Complex Numbers and Quadratic Equations

Let z∈Cz \in \mathbb{C} with Im(z)=10\text{Im}(z) = 10 and it satisfies 2z−n2z+n=2i−1\frac{2z - n}{2z + n} = 2i - 1 for some natural number nn, then
  1. A.
    n=20n = 20 and Re(z)=−10\text{Re}(z) = -10
  2. B.
    n=40n = 40 and Re(z)=10\text{Re}(z) = 10
  3. C.
    n=40n = 40 and Re(z)=−10\text{Re}(z) = -10
  4. D.
    n=20n = 20 and Re(z)=10\text{Re}(z) = 10
Show answer

Correct option: C

[JEE Main 2019 · 12 Apr · Shift II]

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