AP EAMCET · Maths · Complex Number
If \(\left|z_1\right|=1,\left|z_2\right|=2,\left|z_3\right|=3\) and \(\left|9 z_1 z_2+4 z_1 z_3+z_2 z_3\right|=12\), then the value of \(\left|z_1+z_2+z_3\right|\) is
- A \(3\)
- B \(4\)
- C \(8\)
- D \(2\)
Answer & Solution
Correct Answer
(D) \(2\)
Step-by-step Solution
Detailed explanation
We have, \(\begin{aligned} & \left|z_1\right|=1,\left|z_2\right|=2,\left|z_3\right|=3 \text { and } \\ & \left|9 z_1 z_2+4 z_1 z_3+z_2 z_3\right|=12 \end{aligned}\) Since, we know \(|z|^2=z z\)…
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