JEE Main 202325 Jan, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002Let z1=2+3i\mathrm{z_1=2+3i}z1=2+3i and z2=3+4i\mathrm{z_2=3+4i}z2=3+4i. The set S={z∈C:∣z−z1∣2−∣z−z2∣2=∣z1−z2∣2}\mathrm{S = \left\{ {z \in \mathbb{C}:{{\left| {z - {z_1}} \right|}^2} - {{\left| {z - {z_2}} \right|}^2} = {{\left| {{z_1} - {z_2}} \right|}^2}} \right\}}S={z∈C:∣z−z1∣2−∣z−z2∣2=∣z1−z2∣2} represents aAOption A. hyperbola with the length of the transverse axis 7BOption B. hyperbola with eccentricity 2COption C. straight line with the sum of its intercepts on the coordinate axes equals −18-18−18DOption D. straight line with the sum of its intercepts on the coordinate axes equals 141414CheckSkip · show solution
