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JEE Main 2026 Mathematics question

MathematicsComplex NumbersJEE Main 2026

Let the set of all values of k∈ℝ such that the equation , z∈ℂ, has at least one solution, be the interval [α, β]. Then 9(α+β) is equal to:

Answer: (A)

Solution

With z=x+iy, the real part gives x²+2x+y²−y+2k=0 and the imaginary part gives x+2y+3k=0. Substituting

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Question ID VK-015638