TS EAMCET · Maths · Complex Number
If \(\left|\begin{array}{cc}2+3 i & i \ 1-2 i & -i\end{array}\right|=x+i y\), then \(x+y=\)
- A -2
- B -4
- C -8
- D 4
Answer & Solution
Correct Answer
(A) -2
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { }\left[\begin{array}{cc} 2+3 \mathrm{i} & \mathrm{i} \\ 1-2 \mathrm{i} & -\mathrm{i} \end{array}\right]=\mathrm{x}+\mathrm{iy} \\ & \Rightarrow(2+3 \mathrm{i})(-\mathrm{i})-\mathrm{i}(1-2 \mathrm{i})=\mathrm{x}+\mathrm{iy} \\ & \Rightarrow-2…
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