JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

Let

z_1

and

z_2

be two non-zero complex numbers such that

\frac{z_1}{z_2}+\frac{z_2}{z_1}=1

, then the origin and points represented by

z_1

and

z_2

View answer and explanation

Correct option: C

form an equilateral triangle

Option C (form an equilateral triangle) is correct because the given condition leads to

|z_1| = |z_2|

and the angle between

z_1

and

z_2

being 60 degrees, thus forming an equilateral triangle with the origin.

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