Let z satisfy| z | = 1 and = 1– z . Statement 1 : z is a real number. Statement 2 : Principal argument of is 3 p

Question:

Let $z$ satisfy $|z|=1$ and $z=1-\bar{z}$.

Statement $1: z$ is a real number.

Statement 2 : Principal argument of $\mathrm{z}$ is $\frac{\pi}{3}$

  1. Statement 1 is true Statement 2 is true; Statement 2 is a correct explanation for Statement 1 .

  2. Statement 1 is false; Statement 2 is true

  3. Statement 1 is true, Statement 2 is false.

  4. Statement 1 is true; Statement 2 is true; Statement 2 is not a correct explanation for Statement 1 .

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year Online April 25, 2013

Solution:

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