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MCQMediumJEE Main 2023 · 25 January, Shift 1Argand Plane & Geometry

Mathematics Question from JEE Main 2023 · 25 January, Shift 1

Let z1=2+3iz_1 = 2 + 3i and z2=3+4iz_2 = 3 + 4i. The set S={z∈C:∣z−z1∣2−∣z−z2∣2=∣z1−z2∣2}S = \{ z \in \mathbb{C} : |z - z_1|^2 - |z - z_2|^2 = |z_1 - z_2|^2 \} represents a:

  • A

    straight line with sum of its intercepts on the coordinate axes 1414

  • B

    hyperbola with the length of the transverse axis 77

  • C

    straight line with the sum of its intercepts on the coordinate axes equals −18-18

  • D

    hyperbola with eccentricity 22

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