jee-main 2013 Q62

jee-main · India · 25apr Complex Numbers Argand & Loci True/False or Multiple-Statement Verification

Let $z$ satisfy $| z | = 1$ and $z = 1 - \bar { z }$. Statement $1 : z$ is a real number. Statement 2 : Principal argument of 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.

Let $z$ satisfy $| z | = 1$ and $z = 1 - \bar { z }$. Statement $1 : z$ is a real number. Statement 2 : Principal argument of 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.

Paper Questions

Q2 Q4 Q5 Q9 Q10 Q11 Q13 Q14 Q15 Q21 Q23 Q24 Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70