JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

Let

n

denote the number of solutions of the equation

{z^2} + 3\overline z = 0

, where

z

is a complex number. Then, the value of

\sum\limits_{k = 0}^\infty {\,\frac{1}{{{n^k}}}}

is equal to

View answer and explanation

Correct option: B

\frac{4}{3}

Option B (

\frac{4}{3}

) is correct because solving the equation

{z^2} + 3\overline z = 0

gives 4 solutions, and the sum of the infinite geometric series with the common ratio

\frac{1}{4}

\frac{4}{3}

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