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Complex Numbers question

2023 · 10 Apr · Shift 1 · Q38

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2023 · 10 Apr · Shift 1 · Q38

Complex Numbers question

2023 · 10 Apr · Shift 1 · Q38

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let the complex number

z = x + iy

be such that

{{2z - 3i} \over {2z + i}}

is purely imaginary. If

{x} + {y^2} = 0

, then

{y^4} + {y^2} - y

is equal to :

A
${4 \over 3}$
B
${3 \over 2}$
C
${3 \over 4}$
D
${2 \over 3}$

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