TS EAMCET · Maths · Complex Number
If \(Z_1, Z_2, Z_3\) are three complex numbers with unit modulus such that \(\left|Z_1-Z_2\right|^2+\left|Z_1-Z_3\right|^2=4\) then \(Z_1 \overline{Z_2}+\overline{Z_1} Z_2+Z_1 \overline{Z_3}+\overline{Z_1} Z_3=\)
- A 0
- B \(\left|Z_2\right|^2+\left|Z_3\right|^2\)
- C \(\left|Z_1\right|^2-\left|Z_2+Z_3\right|^2\)
- D 1
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
\(\left|Z_1-Z_2\right|^2+\left|Z_1-Z_3\right|^2=4 \quad\left[\because Z \bar{Z}=|Z|^2\right]\)…
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