TS EAMCET · Maths · Complex Number
If \(Z_1\) and \(Z_2\) are complex number such that \(\left|Z_1+Z_2\right|=\left|Z_1\right|\) \(+\left|Z_2\right|\) then the difference in the amplitudes of \(Z_1\) and \(Z_2\) is
- A \(\frac {\pi}{4}\)
- B \(\frac {\pi}{3}\)
- C \(\frac {\pi}{2}\)
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
\(\left|Z_1+Z_2\right|=\left|Z_1\right|+\left|Z_2\right|\) is only possible when \(Z_1\) and \(Z_2\) are collinear. Hence angle between them \(=0\).
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