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JEE Main 2026 Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Main 2026

Let tanA, tanB, where A,B∈(−π/2,π/2), be the roots of the quadratic equation x²−2x−5=0. Then is equal to:

Answer: (C)

Solution

tanA+tanB=2, tanAtanB=−5, so tan(A+B)=2/6=1/3, giving cos(A+B)=3/√10

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Question ID VK-015490