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If sin^(-1) x + sin^(-1) y + sin^(-1) z ...

If `sin^(-1) x + sin^(-1) y + sin^(-1) z =(3pi)/2`, then : `x^100+ y^100 + z^100 -9/(x^101 + y^101 + z^101)` is :

A

1

B

2

C

0

D

None of these

Text Solution

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The correct Answer is:
D
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MODERN PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS -MULTIPLE CHOICE QUESTIONS (LEVEL - II)
  1. The value of tan [cos^(-1)(4/5)+tan^(-1) (2/3)] is :

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  2. If cos^(-1) p+ cos^(-1) q + cos^(-1) r =pi, then : p^2+q^2+r^2+ 2pqr i...

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  3. If sin^(-1) x + sin^(-1) y + sin^(-1) z =(3pi)/2, then : x^100+ y^100...

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  4. The number of real solutions of : tan^(-1) sqrt(x(x+1))+sin^(-1) sqrt(...

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  5. If "cos"^(-1) x/a +"cos"^(-1) y/b=alpha, then : x^2/a^2 -(2xy)/(ab...

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  6. The principal value of cos^(-1) {1/sqrt2 ("cos"(9pi)/10 - "sin"(9pi)/1...

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  7. If sum(i=1)^(2n) sin^(-1) xi =npi, then sum(i=1)^(2n) xi is equal to :

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  8. sin cot^(-1) tan cos^(-1) x is equal to :

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  9. Value of cos{tan^(-1) ("tan"(15pi)/4)} is :

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  10. If cos^(-1)x+cosy^(-1)+cos^(-1)x=3pi then xy+yz+zx=

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  11. If sum(i=1)^(2n) sin^(-1) xi=npi, then sum(i=1)^(2n) xi equals :

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  12. The number of positive integral solutions of : tan^(-1) x + "cos"^(-...

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  13. Value of "tan"^(-1) 1/3 + "tan"^(-1) 1/5 +"tan"^(-1) 1/7 + "tan"^(-1) ...

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  14. If "tan"^(-1) (sqrt(1+x^2)-1)/x=4 , then x equals :

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  15. The integral solution of : tan^(-1) x+ tan^(-1) (1/y)=tan^(-1) 3 i...

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  16. If sin^(-1) x +cos^(-1) (1-x)=sin^(-1) (-x) , then x satisfies :

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  17. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

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  18. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

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  19. If cos^(-1) x - cos^(-1). y/2= alpha ", then " 4x^(2) - 4xy cos alpha...

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  20. If 0 lt x lt 1", then " sqrt(1+x^(2))[{x cos (cot^(-1)x) + sin ( cot...

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