Let z be such that (z² + 3i)/(z - 2 + i) = 2 + 3i. Then the sum of all possible values of z² is:

Complex Numbers and Quadratic Equations: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q89

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

z\in\mathbb{C}

be such that

\frac{z^2 + 3i}{z - 2 + i} = 2 + 3i

. Then the sum of all possible values of

z^2

is:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q89

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let

z\in\mathbb{C}

be such that

\frac{z^2 + 3i}{z - 2 + i} = 2 + 3i

. Then the sum of all possible values of

z^2

is: