JEE Main 2026 · Session 2 · Shift 1 · Mathematics

Question 1

Let α, α + 2, α ∈ Z, be the roots of the quadratic equation x(x + 2) + (x + 1)(x + 3) + (x + 2)(x + 4) + .... + (x + n − 1)(x + n + 1) = 4n for some n ∈ N. Then n + α is equal to:

• A. 0
• B. 1
• C. 2Correct answer
• D. 3

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