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MathsJEE Main 6 Apr 2026, Shift 1·Q4·MCQ·Moderate

Complex Numbers · Complex equation with real parameter

Let the set of all values of k∈Rk \in \mathbb{R} such that the equation z(zˉ+2+i)+k(2+3i)=0z(\bar{z} + 2 + i) + k(2 + 3i) = 0, z∈Cz \in \mathbb{C}, has at least one solution, be the interval [α,β][\alpha, \beta]. Then 9(α+β)9(\alpha + \beta) is equal to:
  1. (1)−10-10
  2. (2)−8-8
  3. (3)101310\sqrt{13}
  4. (4)8138\sqrt{13}

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See the full 6 Apr 2026, Shift 1 paper