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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
Let Z=[7+5i3+3i8+5i5+2i]Z=\left[\begin{array}{ll}7+5 i & 3+3 i \\ 8+5 i & 5+2 i\end{array}\right] then det⁑(ZZΛ‰)\operatorname{det}(Z \bar{Z}), (where ZΛ‰\bar{Z} is the matrix obtained by taking conjugate of each element of ZZ ) is equal to
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Correct option: A
256
Option A (256) is correct because the determinant of Z * conjugate(Z) is the square of the magnitude of the determinant of Z.

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