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JEE Math Practice Question

If $$z \neq 0$$ be a complex number such that $$\left|z-\frac{1}{z}\right|=2$$, then the maximum value of $$|z|$$ is :

  1. A.$$\sqrt{2}$$
  2. B.1
  3. C.$$\sqrt{2}-1$$
  4. D.$$\sqrt{2}+1$$

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