up pgt mathematics question paper solution

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Question : How to solve following up pgt mathematics question paper solutionSolution :Let \[z=i\left(\frac{3+i}{2-i}+\frac{3-i}{2+i}\right)\] \[=i\left(1+i+1-i\right)\] \[z=2i\] \[=2\left(\cos{\left(\frac{\pi}{2}\right)}+i\sin{\left(\frac{\pi}{2}\right)}\right) \] So \[Amplitude(z)=\frac{\pi}{2}\] Hence correct option is (1)

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