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It z(1) and z(2) are two complex numbers...

It `z_(1) and z_(2)` are two complex numbers, such that `|z_(1)|` = `|z_(2)|`, then is it necessary that `z_(1) = z_(2)`?

Text Solution

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The correct Answer is:
`therefore z_(1) and z_(2)` need not be equal.
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Knowledge Check

  • If z_(1)" and "z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_1|+|z_(2)| , then arg z_(1)- arg z_(2) is equal to

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    C
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    D
    `0`

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    A
    `z_(1)= -z_(2)`
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    `z_(1)= z_(2)`
    C
    `z_(1)= bar(z_2)`
    D
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  • Let z_(1)" and "z_(2) be two complex numbers such that z_(1)z_(2)" and "z_(1)+z_(2) are real then

    A
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    C
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    D
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