Mathematics · 2026
JEE Main · 6 April 2026, Shift 1 · Q4
Let the set of all values of k ∈ R such that the equation z(z̄+2+i)+k(2+3 i)=0, z ∈ C, has at least one solution, be the interval [α, β]. Then 9(α+β)…
Let the set of all values of $\displaystyle k \in \mathbb{R}$ such that the equation $\displaystyle z(\bar{z}+2+i)+k(2+3 i)=0, z \in \mathbb{C}$, has at least one solution, be the interval $\displaystyle [\alpha, \beta]$. Then $\displaystyle 9(\alpha+\beta)$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle -10$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.