5 JEE Main 2013 Complex Number previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2013 previous-year questions from the Complex Number chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Complex Number chapter hub.
If z is a complex number of unit modulus and argument θ , then arg 1 + z 1 + z - can be equal to given   z &#…
If Z₁ ≠ 0 and Z₂ be two complex numbers such that (Z₂)/(Z₁) is a purely imaginary number, then |(2 Z₁+3 Z₂)/(2 Z₁-3 Z₂)…
If a complex number z statisfies the equation x+√(2)|z+1|+i=0, then |z| is equal to :
Let a=Im ((1+z²)/(2 i z) ), where z is any non-zero complex number. The set A=\a:|z|=1 and z ≠ ± 1\ is equal to:
Let z satisfy |z|=1 and z=1-z. Statement 1: z is a real number. Statement 2 : Principal argument of z is (π)/(3)