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31) If and 〖tan〗^(-1) a+〖tan〗^(-1) b=π/4, then the value of (a+b)-((a^2+b^2)/2)+((a^3+b^3)/3)-((a^4+b^4)/4)+.. is
32) All x satisfying the inequality (〖cot〗^(-1) x)^2-7(〖cot〗^(-1) x)+10 0, lie in the interval
33) If the sum of all the solutions of 〖tan〗^(-1) (2x/(1-x^2 ))+〖cot〗^(-1) ((1-x^2)/2x)=π/3,
, is a-4/√3, then a is equal to
34) Let x=sin⁡(2〖tan〗^(-1) a) and y=sin⁡(1/2 〖tan〗^(-1) 4/3). If then ∑_(a∈S)▒〖16a^3 〗 is equal to
35) 50 tan⁡(3〖tan〗^(-1) (1/2)+2〖cos〗^(-1) (1/√5))+4√2 tan⁡(1/2 〖tan〗^(-1) (2√2)) is equal to

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👉 Class 12 Case Study Question :    • CLASS 12 (CBSE) | CASE STUDY BASED QUESTIONS  
✍️ Chapter1 :    • CLASS 12 CBSE RELATIONS AND FUNCTIONS | | ...  
✍️ Chapter2 :    • CLASS : 12th ( CBSE )  | 2. INVERSE TRIGON...  
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✍️ Chapter 5:    • CLASS 12 MATHS CONTINUITY AND DIFFERENTIAB...  
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✍️ Chapter13 :    • Class 12 (CBSE) - 13. PROBABILITY (Tamil)  

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