JEE Main 202228 Jul, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let z=a+ib,b≠0\mathrm{z}=a+i b, b \neq 0z=a+ib,b=0 be complex numbers satisfying z2=zˉ⋅21−zz^{2}=\bar{z} \cdot 2^{1-z}z2=zˉ⋅21−z. Then the least value of n∈Nn \in Nn∈N, such that zn=(z+1)nz^{n}=(z+1)^{n}zn=(z+1)n, is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
