JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\omega

is a complex cube root of unity, then the equation

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

will represent a circle, if

View answer and explanation

Correct option: B

\mathrm{\lambda } \in \left[ {3/2,\infty } \right)

Option B (

\mathrm{\lambda } \in \left[ {3/2,\infty } \right)

) is correct because the condition for the equation to represent a circle is

\lambda \ge \frac{1}{2}{\left| {{z_1} - {z_2}} \right|^2}

, where

z_1

and

z_2

are the centers.

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