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JEE MAIN 2026

06-04-26_S1

Question

\text { Let } 0<\alpha<1, \beta=\frac{1}{3 \alpha} \text { and } \tan ^{-1}(1-\alpha)+\tan ^{-1}(1-\beta)=\frac{\pi}{4} \text {. Then } 6(\alpha+\beta) \text { is equal to: }

Select the correct option:

A

6

B

7

C

8

D

9

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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\text { Let } 0<\alpha<1, \beta=\frac{1}{3 \alpha} \text { and } \tan ^{-1}(1-\alpha)+\tan ^{-1}(1-\beta)=\frac{\pi}{4} \text {. Then } 6(\alpha+\beta) \text { is equal to: }

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