JEE Main 202430 Jan, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002If zzz is a complex number, then the number of common roots of the equations z1985+z100+1=0z^{1985}+z^{100}+1=0z1985+z100+1=0 and z3+2z2+2z+1=0z^3+2 z^2+2 z+1=0z3+2z2+2z+1=0, is equal toAOption A. 0BOption B. 2COption C. 1DOption D. 3CheckSkip · show solution
