1.Let z1=2+3iz_1 = 2 + 3iz1=2+3i and z2=3+4iz_2 = 3 + 4iz2=3+4i. The setS={z∈C:∣z−z1∣2−∣z−z2∣2=∣z1−z2∣2}S = \left\{z \in \mathbb{C} : |z - z_1|^2 - |z - z_2|^2 = |z_1 - z_2|^2\right\}S={z∈C:∣z−z1∣2−∣z−z2∣2=∣z1−z2∣2}represents a:a.Straight line with the sum of its intercepts on the coordinate axes equal to 141414b.Hyperbola with the length of the transverse axis 777c.Straight line with the sum of its intercepts on the coordinate axes equal to −18-18−18d.Hyperbola with eccentricity 222Login to continueOnly logged in users canattempt or see the solution.