AP EAMCET · Maths · Complex Number
If \(Z_1\) and \(Z_2\) are conjugate complex numbers. Match the items under the following columns?
| Column-l | Column-II |
| A. \(Z_1 Z_2\) | 1. imaginary axis |
| B. \(Z_1+Z_2=0\) | 2. \(I_m\left(-Z_2\right)\) |
| C. \(I_m\left(Z_1\right)\) | 3. \(\left|Z_1\right|^2\) |
| D. \(\operatorname{Re}\left(Z_1\right)\) | 4. \(\operatorname{Re} Z_2\) |
- A \(\begin{array}{llll}3 & 1 & 4 & 2\end{array}\)
- B \(\begin{array}{llll}3 & 1 & 2 & 4\end{array}\)
- C \(\begin{array}{llll}1 & 2 & 4 & 3\end{array}\)
- D \(\begin{array}{llll}2 & 4 & 3 & 1\end{array}\)
Answer & Solution
Correct Answer
(B) \(\begin{array}{llll}3 & 1 & 2 & 4\end{array}\)
Step-by-step Solution
Detailed explanation
Given \(Z_1, Z_2\) are conjugate complex numbers. Given \(Z_1\) and \(Z_2\) are conjugate complex numbers.Column-l Column-II A. \(Z_1 Z_2\) 1. imaginary axis B. \(Z_1+Z_2=0\) 2. \(I_m\left(-Z_2\right)\) C. \(I_m\left(Z_1\right)\) 3. \(\left|Z_1\right|^2\) D.…
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