JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

Suppose

a < 0

and

z_1, z_2, z_3, z_4

be the fourth roots of

a

. Then

z_1^2+z_2^2+z_3^2+z_4^2

is equal

View answer and explanation

Correct option: C

a+|a|

Option C (a+|a|) is correct because the sum of the squares of the fourth roots of a negative number is 0, which is equivalent to a + |a| when a < 0.

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