InterviewSolution
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InterviewSolution
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For any two complex number `z_1,z_2` and any real numbers a and b, `|az_1-bz_2|^2+|bz_1+az_2|^2`=…. |
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Answer» Correct Answer - `(a^(2) + b^(2)) (|z_(1)|^(2) + |z_(2))|^(2))` `|az_1-bz_2|+|bz_1+az_2|^2` `=[|a|^2|z_1|^2+b^2|z_2|^2-2ab Re (z_1barz_2)]+[a^2|z_1|^2+a^2|z_2|^2+2abRe(z_1barz_2)]` `=(a^2+b^2)(|z_1|^2+|z_2|^2)` |
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