JEE Main 2023 Mathematics question

Let = 2 + 3i and = 3 + 4i. The set S = {z : } represents

• (A)straight line with the sum of its intercepts on the coordinate axes equals – 18
• (B)hyperbola with eccentricity 2
• (C)straight line with the sum of its intercepts on the coordinate axes equals 14Correct
• (D)hyperbola with the length of the transverse axis 7