JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

Let

\omega

be a complex cube root of unity. If the equation

{\left| {z - \omega } \right|^2} + {\left| {z - {\omega ^2}} \right|^2} = \lambda

represents a circle with points representing

\omega

and

{\omega ^2}

as the end points of a diameter, then

\lambda =

View answer and explanation

Correct option: B

The correct answer is B (3) because the diameter squared is the distance between the cube roots of unity.

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