JEE Main 202331 Jan, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002For all z∈Cz \in Cz∈C on the curve C1:∣z∣=4C_{1}:|z|=4C1:∣z∣=4, let the locus of the point z+1zz+\frac{1}{z}z+z1 be the curve C2\mathrm{C}_{2}C2. Then :AOption A. the curves C1C_{1}C1 and C2C_{2}C2 intersect at 4 pointsBOption B. the curve C2C_{2}C2 lies inside C1C_{1}C1COption C. the curve C1C_{1}C1 lies inside C2C_{2}C2DOption D. the curves C1C_{1}C1 and C2C_{2}C2 intersect at 2 pointsCheckSkip · show solution