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The domain of the function f(x) given by...

The domain of the function f(x) given by `f(x)=(sqrt(4-x^(2)))/(sin^(-1)(2-x))` is

A

[0,2]

B

[0,2)

C

[1,2)

D

[1,2]

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-REAL FUNCTIONS -Exercise
  1. If f(x)=x^(3)-x and phi (x)= sin 2x , then

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  2. Let f(x)=min{x,x^2}, for every x in R. Then

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  3. The domain of the function f(x) given by f(x)=(sqrt(4-x^(2)))/(sin^(-1...

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  4. The domain of the function f(x)=sqrt({(-log0.3(x-1))/(-x^2+3x+18)})...

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  5. Domain of the function, f(x)=[log10 ((5x-x^2)/4)]^(1/2) is

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  6. If f : R -> R is defined by f(x) = 1 /(2-cos3x) for each x in R then t...

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  7. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

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  8. The domain of definition of the function f(x)=(1)/(sqrt(|x|-x)) is

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  9. The set of values of x for which the function f(x)=(1)/(x)+2^(sin^(...

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  10. The function f(x)=log(10)(x+sqrt(x^(2))+1) is

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  11. The function f(x)= cos{log(10)(x+sqrt(x^(2)+1)} , is

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  12. f(x)=sqrt(sin^(- 1)(log2x))

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  13. The function f(x)=sqrt(cos(sinx))+sin^-1((1+x^2)/(2x)) is defined for ...

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  14. The function f(x)=|cos| is periodic with period

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  15. If a funciton f(x) is defined for x in [0,1], then the function f(2x+...

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  16. the period of the f(x)=sin^4x+cos^4x is

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  17. Which of the following functions is the inverse of itself? f(x)=(1-x)/...

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  18. If f(-x)=-f(x) , then f(x) is

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  19. The value of f(x)=3sin((pi^2)/(16)-x^2) lie in the interval

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  20. If f(x)=(x-1)/(x+1) then f(2x) is equal to

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