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If z is a complex number, then the minimum value of z + z − 1 is ______.
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If z is a complex number, then the minimum value of z + z − 1 is ______.
jeemain
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First, note that z=z and z1 + z2 ≤ z1 + z2
Now z + z1 = z + 1  z ≤ z + (1  z)
= 1
= 1
Hence, minimum value of z + z  1 is 1.
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