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Solution


Q.

The number of solutions of the equation 2x+3tanx=π, x∈[–2π,2π]–{±π2,±3π2} is          [2025]
1 4  
2 5  
3 6  
4 3  

Ans.

(2)

We have, 2x + 3 tan x = π

⇒ tanx=π3–2x3

∴  Number of solutions = 5.