JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Understanding +4 | -1

f

is as in Question 4, then for

a \in \mathbf{C}

,where

a_1, a_2, a_3

is a permutation of

z_1, z_2, z_3

View answer and explanation

Correct option: A

f\left(z_1, z_2, z_3\right)=f\left(z_1+a, z_2+a, z_3+a\right)

Option A (

f(z_1, z_2, z_3)=f(z_1+a, z_2+a, z_3+a)

) is correct because adding a constant to each variable in the determinant does not change its value due to properties of determinants.

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\alpha, \beta

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