Let ¹ – i be any complex number such that i i – + is a purely imaginary number. Then 1 + is:

Question:

Let $z \neq-i$ be any complex number such that $\frac{z-i}{z+i}$ is a purely imaginary number.

Then $\mathrm{z}+\frac{1}{7}$ is:

  1. zero

  2. any non-zero real number other than 1 .

  3. any non-zero real number.

  4. a purely imaginary number.


Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year Online April 12, 2014

Solution:

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