Question
Download Solution PDFConsider the following
1. zz̅ = |z|2
2. z-1 =
Which of the above statement is/are correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Consider a complex number, z = a + ib
Conjugate of complex number = z̅ = a - ib
Modulus of complex number = |z| =
Calculation:
Let, z = a + ib,
zz̅ = (a + ib)(a - ib)
=
=
=
=
And, |z|2 =
=
∴ zz̅ = |z|2
Now,
=
=
Hence, option (1) is correct.
Last updated on May 30, 2025
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