MathematicsEasy53×since 2002Q3199Let 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 aAhyperbola with the length of the transverse axis 7Bhyperbola with eccentricity 2Cstraight line with the sum of its intercepts on the coordinate axes equals −18-18−18Dstraight line with the sum of its intercepts on the coordinate axes equals 141414Check answerSkip