KCET · Maths · Complex Number
If \(Z_1\) and \(Z_2\) are two non-zero complex numbers, then which of the following is not true?
- A \(\overline{\mathrm{Z}_1+\mathrm{Z}_2}=\overline{\mathrm{Z}}_1+\overline{\mathrm{Z}}_2\)
- B \(\left|\mathrm{Z}_1 \mathrm{Z}_2\right|=\left|\mathrm{Z}_1\right| \cdot\left|\mathrm{Z}_2\right|\)
- C \(\overline{Z_1 Z_2}=\bar{Z}_1 \cdot \bar{Z}_2\)
- D \(\left|\mathrm{Z}_1+\mathrm{Z}_2\right| \geq\left|\mathrm{Z}_1\right|+\left|\mathrm{Z}_2\right|\)
Answer & Solution
Correct Answer
(D) \(\left|\mathrm{Z}_1+\mathrm{Z}_2\right| \geq\left|\mathrm{Z}_1\right|+\left|\mathrm{Z}_2\right|\)
Step-by-step Solution
Detailed explanation
\(\left|\mathrm{Z}_1+\mathrm{Z}_2\right| \leq\left|\mathrm{Z}_1\right|+\left|\mathrm{Z}_2\right|\)
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