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

If `tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4` then x=

A

`1/(sqrt(2))`

B

`+-1/(sqrt(2))`

C

`+-1/(sqrt(3))`

D

`1/(sqrt(3))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
  1. If "Sec"^(-1)x/a-"Sec"^(-1)x/b="Sec"^(-1)b-Sec^(-1)a then x=

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  2. If tan^(-1)(a//x)+tan^(-1)(b//x)=pi//2 then x=

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  3. If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/4 then x=

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  4. If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=pi+tan^(-1)(-7), then x=

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  5. If tan^(-1)(x+1)+tan^(-1)(x-1)="tan"^(-1)8/31 then x=

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  6. If sin^(-1)((2x)/(x^(2)+1))+cos^(-1)((1-x^(2))/(x^(2)+1))=(pi)/3 then ...

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  7. If cot^(-1)((1+x)/(1-x))=1/2cot^(-1)(1/x) then x=

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  8. If cos(sin^(-1)sqrt(13/17))=sin(tan^(-1)x) then x=

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  9. The value of x where x gt0 and tan("sec"^(-1)1/x)=sin(tan^(-1)2) is

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  10. tan((pi)/4+1/2"cos"^(-1)a/b)+tan((pi)/4-1/2"cos"^(-1)a/b)=

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  11. If "Cos"^(-1)x/a+"Cos"^(-1)y/b=(5pi)/12 and "Sin"^(-1)x/a-"Sin"^(-1)y/...

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  12. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=(pi)/2 and (x-y)^(2)+(y-z)^(2)+(z-x)^...

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  13. The value of cos^(-1){1/(sqrt(2))("cos"(9pi)/10-"sin"(9pi)/10)} is

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  14. If "Tan"^(-1)1/(1+2x)+"Tan"^(-1)1/(4x+1)" = Tan"^(-1)2/(x^(2)) then x(...

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  15. If :"Tan"^(-1)(2x)/(1-x^(2))+Cot^(-1)((1-x^(2))/(2x))=(pi)/3,xgt0 then

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  16. If Sin^(-1)x+Tan^(-1)x=(pi)/2 then the value of x^(2) is

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  17. 2Cos^(-1)x=Sin^(-1)(2xsqrt(1-x^(2))) is valid for

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  18. Th ascending order of minimum values of functions P: sin^(-1)x-cos^(...

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  19. Match the following:

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  20. Assertion : If 0ltxlt(pi)/2 then sin^(-1)(cosx)+cos^(-1)(sinx)=pi-2x ...

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