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MCQMediumJEE Main 2023 · 10 April, Shift 1Complex Numbers Basics

Mathematics Question from JEE Main 2023 · 10 April, Shift 1

Let the complex number z=x+iyz = x + iy be such that 2z−3i2z+i\frac{2z - 3i}{2z + i} is purely imaginary. If x+y2=0x + y^2 = 0, then y4+y2−yy^4 + y^2 - y is equal to:

  • A

    32\frac{3}{2}

  • B

    23\frac{2}{3}

  • C

    43\frac{4}{3}

  • D

    34\frac{3}{4}

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