JEE Main 2019 · 10 Apr · Shift I

JEE Main 2019 Mathematics question on Complex Numbers and Quadratic Equations

If a>0a > 0 and z=(1+i)2a−iz = \frac{(1+i)^2}{a-i}, has magnitude 25\sqrt{\frac{2}{5}}, then zˉ\bar{z} is equal to
  1. A.
    15−35i\frac{1}{5} - \frac{3}{5}i
  2. B.
    −15+35i-\frac{1}{5} + \frac{3}{5}i
  3. C.
    −15+35i-\frac{1}{5} + \frac{3}{5}i
  4. D.
    35−15i\frac{3}{5} - \frac{1}{5}i
Show answer

Correct option: B

[JEE Main 2019 · 10 Apr · Shift I]

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