MCQMediumJEE Main 2024 · 31 January, Shift 2Complex Numbers Basics

Mathematics Question from JEE Main 2024 · 31 January, Shift 2

Let z1z_1 and z2z_2 be two complex numbers such that z1+z2=5z_1 + z_2 = 5 and z13+z23=20+15iz_1^3 + z_2^3 = 20 + 15i. Then z14+z24|z_1^4 + z_2^4| equals:

  • A

    30330\sqrt{3}

  • B

    7575

  • C

    151515\sqrt{15}

  • D

    25325\sqrt{3}

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