If \omega is any complex number such that z \omega=|z|^{2} and |z-\overline{z}|+|\omega+\overline{\omega}|=4, then as \omega varies, the area of locus of z is

Correct Answer is : 8 sq. units

JEE Advanced 2020 Concept Recapitulation Test 3 Paper 2

Question : 37 of 54

Marks: +1, -0

If ω is any complex number such that zω=|z|2 and |z−z|+|ω+ω|=4, then as ω varies, the area of locus of z is

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