JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

{z_1},{z_2}

are two complex numbers such that

\left| {\frac{{{z_1} - {z_2}}}{{{z_1} + {z_2}}}} \right| = 1

and

i\;{z_1} = k\;{z_2}

where

k \in R,

then the angle between

{z_1} - {z_2}

and

{z_1} + {z_2}

View answer and explanation

Correct option: C

- 2{\tan ^{ - 1}}k

Option C (

- 2{\tan ^{ - 1}}k

) is correct because by using componendo and dividendo and the given condition, the angle between the two complex numbers can be found to be

- 2{\tan ^{ - 1}}k

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