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If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+t...

If `x+y+z=xyz`, then `tan^(-1)x+tan^(-1)y+tan^(-1)z=`

A

`pi`

B

`pi//2`

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (3)(MULTIPLE CHOICE QUESTIONS)
  1. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is

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  3. If cos^(-1)x gt sin^(-1) x, then

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  4. If x^2+y^2+z^2=r^2, " then " tan^(-1) ""(xy)/(zr)+tan^(-1) ""(yz)/(xr)...

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  5. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  6. If xy +yz+zx=1 then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  7. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

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  8. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

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  9. The value of tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3) is

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  10. If (sin^(-1)x)^(2)+(cos^(-1)x)^(2)=(5pi^(2))/(8) then x =

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  11. Find the set of values of parameter a so that the equation (sin^(-1)x)...

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  12. If tan(x+y)=33, and x= tan^(-1)3, then: y=

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  14. a^3/2 cosec^2(1/2 tan^(-1)""a/b)+b^3/2 sec^2(1/2tan^(-1)""b/a) is equa...

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  15. The number of the + ive integral solutions of tan^(-1)x+cos^(-1) "" y/...

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  18. If ci >0 for i=1,\ 2,\ ,\ n , prove that tan^(-1)((c1x-y)/(c1y+x))+t...

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  19. If sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^(-1)x-cos^(-1) y= pi/3 ," then...

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  20. If tan^(-1) ""1/4 + 2 tan^(-1)"" 1/5+tan^(-1)"" 1/6 + tan^(-1) ""1/x=p...

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