Let n denote the number of solutions of the equation z² + 3 z = 0, where z is a complex number. Then the value of Σ k = 0 ^∞ 1/(n^(k)) is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 22 Jul, Evening shift · Q3223

JEE Main 202122 Jul, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let n denote the number of solutions of the equation z² + 3

\overline z

= 0, where z is a complex number. Then the value of

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

is equal to :

JEE Main 2021 · 22 Jul, Evening shift · Q3223

JEE Main 202122 Jul, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let n denote the number of solutions of the equation z² + 3

\overline z

= 0, where z is a complex number. Then the value of

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

is equal to :