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If a le tan^(-1) ((1-x)/(1+x)) le b " w...

If ` a le tan^(-1) ((1-x)/(1+x)) le b " where " 0 le x le 1", then " (a, b) =`

A

`(0, pi/4)`

B

`(0, pi/2)`

C

`(- pi/4, pi/4)`

D

`(pi/4, pi/2)`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
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  3. If a le tan^(-1) ((1-x)/(1+x)) le b " where " 0 le x le 1", then " (a...

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  12. sin [ tan^(-1). (1 - x^(2))/(2x) + cos^(-1) . (1-x^(2))/(1 + x^(2))] i...

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  13. If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 ...

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  14. If |cos^(-1) ((1-x^(2))/(1+x^(2)))| lt pi/3, then

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  15. The value of cos^-1[cot(sin^-1(sqrt((2-sqrt3)/4))+cos^-1(sqrt12/4)+sec...

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  16. If tan^(-)(x)/(pi)lt (pi)/(3) x in N then the maximum vlaue of x is

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  17. If tan^(-1)( (sqrt((1+x^(2))) - sqrt((1-x^(2))))/(sqrt((1+x^(2)))+sqrt...

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  18. Find the number of positive integral solutions of tan^-1 x + cot^-1 y ...

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  19. If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal func...

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  20. The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1)...

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