The value of Im zz A- is 1B- is 0C- is -1D- depends on Z

Name: JEE- Grade 11- Mathematics- Complex Numbers- Session 03- 1-1
Uploaded: 2022-07-04T10:36:42+05:30
Description: For any complex number z, zz̅ = |z|^2, which is a real number. nbsp; nbsp; ∴Im(zz̅)=0 ...

For any complex number z, zz̅ = |z|^2, which is a real number. nbsp; nbsp; ∴Im(zz̅)=0 ...

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Standard XII

Mathematics

Properties of Modulus

The value of ...

Question

The value of $I m (z ¯ z)$

1

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0

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- 1

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depends on

z

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Solution

The correct option is B is $0$
For any complex number $z,$
$z ¯ z = | z |^{2},$ which is a real number.
$∴ I m (z ¯ z) = 0$

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Properties of Modulus

Standard XII Mathematics

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The value of Im(z¯z)

The correct option is B is 0For any complex number z, z¯z=|z|2, which is a real number. ∴Im(z¯z)=0

The value of $I m (z ¯ z)$

The correct option is B is $0$
For any complex number $z,$
$z ¯ z = | z |^{2},$ which is a real number.
$∴ I m (z ¯ z) = 0$