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

If `Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=pi//2` then 1 - xy - yz - zx =

A

1

B

0

C

-1

D

2

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. If y is infinite and tan^(-1)y=4tan^(-1)x then

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  2. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi then x+y+z=

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  3. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=pi//2 then 1 - xy - yz - zx =

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  4. If Cos^(-1)x+Cos^(-1)y+Cos^(-1)z=pi,"then "x^(2)+y^(2)+z^(2)+2xyz=

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  5. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi//2,"then "x^(2)+y^(2)+z^(2)+2xyz=

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  6. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi then prove that n xsqrt(1-x^(2))+y...

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  7. If Sec^(-1)sqrt(1-x^(2))+Cosec^(-1)(sqrt(1+y^(2)))/y+"Cot"^(-1)1/z=3pi...

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  8. If Cos^(-1)(x/a)+Cos^(-1)(y/b)=theta,"then "x^(2)/a^(2)-(2xy)/(ab)cost...

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  9. If Cos^(-1)(x//2)+Cos^(-1)(y//3)=theta" then "9x^(2)-12xycostheta+4y^(...

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  10. If Sin^(-1)x+Sin^(-1)y=2pi//3,"then "Cos^(-1)x+Cos^(-1)y=

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  11. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=(3pi)/2, then the value of x^(100)+y^...

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  12. If alpha = Tan^(-1)((sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2)...

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  13. If Tan^(-1)(1//7)=alpha,Tan^(-1)(1//3)=beta" then "cos2alpha=

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  14. Solve Sin^(-1)x +Sin^(-1)2x = (pi)/3.

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

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  16. If 2Tan^(-1)x+Sec^(-1)x=pi//2 then x =

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

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  18. If Tan^(-1)(1//(a-1))=Tan^(-1)(1//x)+Tan^(-1)[1//(a^(2)-x+1)], then x ...

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  19. If "Sin"^(-1)5/x+"Sin"^(-1)12/x=pi/2, then x =

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  20. If Sin^(-1)(x//5)+Cosec^(-1)(5//4)=pi//2 then a value of x is

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