Let $z$ satisfy $\left| z \right| = 1$ and $z = 1 - \vec z$.
Statement $1$ : $z$ is a real number
Statement $2$ : Principal argument of $z$ is $\frac{\pi }{3}$
Let $z$ satisfy $\left| z \right| = 1$ and $z = 1 - \vec z$.
Statement $1$ : $z$ is a real number
Statement $2$ : Principal argument of $z$ is $\frac{\pi }{3}$
- [JEE MAIN 2013]
- A
Statement $1$ is true Statement $2$ is true;
Statement $2$ is a correct explanation for Statement $1$. - B
Statement $1$ is false; Statement $2$ is true
- C
Statement $1$ is true, Statement $2$ is false
- D
Statement $1$ is true; Statement $2$ is true;
Statement $2$ is not a correct explanation for Statement $1$
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