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The maximum value of f(x)=tan^(-1)(((sqr...

The maximum value of `f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3))` is (A) `18^@` (B) `36^@` (C) `22.5^@` (D) `15^@`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. The number of integer values of k for which the equation sin^(-1)x+tan...

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  3. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is...

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  9. The value of (lim)(xvecoo)(tan^(-1)x))) is equal to (a)-1 (b) pi/2 (...

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  11. If [cot^(-1)x]+[cos^(-1)x]=0 , where [] denotes the greatest integer f...

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  12. Range of tan^(-1)((2x)/(1+x^2)) is (a)[-pi/4,pi/4] (b) (-pi/2,pi/2...

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  13. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

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  14. The value of x for which "sin"(cot^(-1)(1+x))="cos"(tan^(-1)x) is (a)1...

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  16. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

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  17. If 0 < x <1, then sqrt(1+x^2)[{xcos(cot^-1x)+sin(cot^-1 x)}^2-1]^(1/2)...

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  18. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/4, then t...

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  19. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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  20. Which of the following quantities is/are positive? (a)"cos"(tan^(-1)(t...

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