JEE Main 2026 Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Main 2026

Let α, β be the roots of the equation x²−x+p=0 and γ, δ be the roots of the equation x²−4x+q=0; p,q∈ℤ. If α, β, γ, δ are in G.P., then |p+q| equals:

Answer: (C)

Solution

With α+β=1, γ+δ=4, and the four in G.P. with ratio r: dividing the sums gives

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Question ID VK-015410