JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

Let

z=\left|\begin{array}{ccc} 1 & 1-2 i & 3+5 i \\ 1+2 i & -5 & 10 i \\ 3-5 i & -10 i & 11 \end{array}\right|, then

View answer and explanation

Correct option: B

z

is purely real

Option B (

z

is purely real) is correct because the conjugate of the determinant is equal to the determinant itself, implying that

z

is a real number.

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