JEE Main 2026 Mathematics question

Let 0<α<1, β=1/(3α) and tan⁻¹(1−α)+tan⁻¹(1−β)=π/4. Then 6(α+β) is equal to:

Answer: (B)

Solution

Applying the tangent addition formula: (2−α−β)=1−(1−α)(1−β), which simplifies

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Question ID VK-015647