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Complex Numbers question

2020 · Shift 2 · Q19

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PYQ Library
JEE Advanced
Mathematics
Complex Numbers
2020 · Shift 2 · Q19

Complex Numbers question

2020 · Shift 2 · Q19

JEE AdvancedMathematicsComplex NumbersNumerical+3 / −1

For a complex number z, let Re(z) denote that real part of z. Let S be the set of all complex numbers z satisfying

{z^4} - |z{|^4} = 4i{z^2}

, where i =

\sqrt { - 1}

. Then the minimum possible value of |z1

-

z2|2, where z1, z2

\in

S with Re(z1) > 0 and Re(z2) < 0 is .........

Numerical answer

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