Mathematics · 2013
JEE Main · 25 April 2013, Shift 1 · Q83
Let z satisfy |z|=1 and z=1-z̄. Statement I: z is a real number. Statement II: Principal argument of z is (π)/3
Let $\displaystyle z$ satisfy $\displaystyle |z|=1$ and $\displaystyle z=1-\bar{z}$.Statement I : $\displaystyle z$ is a real number.Statement II : Principal argument of $\displaystyle z$ is $\displaystyle \frac{\pi}{3}$
Official answer
(2)
Statement I is false; Statement II is true.
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.