If z 1 and z 2 be two complex number- then Re z 1 z 2-A- Re z 1 -Re z 2B- Re z 1 -Im z 2C- Im z 1 -Re z 2D- None of these

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Complex Plane

If z 1 and z ...

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If $z_{1}$ and $z_{2}$ be two complex number, then Re $(z_{1} z_{2})$ =

(z_{1}) . R e (z_{2})

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(z_{1}) . I m (z_{2})

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(z_{1}) . R e (z_{2})

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None of these

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z_{1}

z_{2}

(z_{1} z_{2})

Two complex numbers are given as,

$Z_{1}$ = $a_{1}$ + i $b_{1}$

$Z_{2}$ = $a_{2}$ + i $b_{2}$

For the complex numbers $Z_{1}$ and $Z_{2}$ to be equal, the necessary conditions are

If $| z_{1} + z_{2} |^{2}$ = $| z_{1} - z_{2} |^{2}$ where $z_{1}$ and $z_{2}$ are non-zero complex numbers, then :

z_{1}, z_{2}

| z_{1} + z_{2} |^{2} = | z_{1} |^{2} + | z_{2} |^{2} .

If $| z_{1} + z_{2} | = | z_{1} | + | z_{2} |$ where $z_{1}$ and $z_{2}$ are different non-zero complex numbers, then :

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