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If :"Tan"^(-1)(2x)/(1-x^(2))+Cot^(-1)((1...

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

A

`2+sqrt(3)`

B

`2-sqrt(3)`

C

`3-sqrt(2)`

D

`3+sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
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  2. If "Tan"^(-1)1/(1+2x)+"Tan"^(-1)1/(4x+1)" = Tan"^(-1)2/(x^(2)) then x(...

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

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

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  5. 2Cos^(-1)x=Sin^(-1)(2xsqrt(1-x^(2))) is valid for

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

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  7. Match the following:

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

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  9. cos^(-1)((3+5cosx)/(5+3cosx)) is equal to

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  10. The smallest and the largest values of tan^(-1)((1-x)/(1+x)),0lexle1 a...

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  11. tan^(-1)[(cosx)/(1+sinx)] is equal to

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  12. If (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=(5pi^(2))/8 then =

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  13. If cos^(-1)(5/13)+cos^(-1)(3/5)=cos^(-1)x then x=

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  14. 2sin^(-1)x=cos^(-1)(1-2x^(2)) is true for

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  15. cot((pi)/4-2cot^(-1)3)=

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  16. Cot^(-1)3+Cot^(-1)7+Cot^(-1)13+……n terms =

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  17. tan^(-1)((yz)/(xsqrt(x^(2)+y^(2)+z^(2))))+tan^(-1)((zx)/(ysqrt(x^(2)+y...

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  18. If tan^(-1)x,tan^(-1)y,tan^(-1)z are in A.P then (2y)/(1-y^(2))=

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  19. The number of solution of (x,y) so that sin^(-1)x+sin^(-1)y=(2pi)/3,...

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  20. If A=Tan^(-1)((xsqrt(3))/(2k-x)) and B=Tan^(-1)((2x-k)/(ksqrt(3))) the...

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