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If sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x, th...

If `sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x`, then `x` belongs to

A

`1,-1`

B

`1,0`

C

`0,1//2`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (3)(MULTIPLE CHOICE QUESTIONS)
  1. If sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x, then x belongs to

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  2. If sin^(-1)(1-x) sin^(-1)x=(pi)/(2) then x equal

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  3. If: sin(sin^(-1)1/5 + cos^(-1)x)=1, then: x=

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

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  5. If tan^(-1)"" (x-1)/(x+1)+tan^(-1) ""(2x-1)/(2x+1)=tan^(-1) "" 23/36 ,...

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  6. If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(...

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  7. If cos^(-1)"" 3/5 - sin^(-1) ""4/5 = cos^(-1) x, " then " x=

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  8. If sin^(-1) ""3/5+sin^(-1)""5/13=sin^(-1)x, " then " x=

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  9. If cot^(-1) x+ sin^(-1)""1/sqrt5 = pi/4 , " then " x=

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

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  11. tan^(-1) 2x+tan^(-1) 3x=npi+(3pi)/4 , " then " x=

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  12. sec^(-1)"" x/a-sec^(-1)"" x/b=sec^(-1) b-sec^(-1) a, " then " x=

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

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  14. If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1)...

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  15. If sin^(-1)"" x/5 + cosec^(-1)"" 5/4 = pi/2 " then " x=

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  16. If cos(2sin^(-1)x)=1/9 , " then " x=

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  17. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is

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

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

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