MCQMediumJEE Main 2026 · 28 January, Shift 2Argand Plane & Geometry

Mathematics Question from JEE Main 2026 · 28 January, Shift 2

Let A={zC:z24}andB={zC:z2+z+2=5}.A=\{z\in\mathbb{C}:|z-2|\le 4\} \quad \text{and} \quad B=\{z\in\mathbb{C}:|z-2|+|z+2|=5\}. Then the maximum value of z1z2|z_1-z_2|, where z1Az_1\in A and z2Bz_2\in B, is:

  • A

    88

  • B

    152\dfrac{15}{2}

  • C

    99

  • D

    172\dfrac{17}{2}

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Practice more Argand Plane & Geometry questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Related questions