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Let `g(x)` be a function defined on`[-1,1]dot` If the area of the equilateral triangle with two of its vertices at `(0,0)a n d(x ,g(x))` is `(sqrt(3))/4` , then the function `g(x)` is `g(x)=+-sqrt(1-x^2)` `g(x)=sqrt(1-x^2)` `g(x)=-sqrt(1-x^2)` `g(x)=sqrt(1+x^2)`

A

`pm sqrt(1-x^(2))`

B

`-sqrt(1-x^(2)) or sqrt(1-x^(2))`

C

`sqrt(1-x^(2))` only

D

`sqrt(1+x^(2))`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. The function f(x)=(sec^(-1)x)/(sqrt(x-[x])) where [x] denotes the gre...

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  2. The domain of definition of the function f(x)=3sqrt((2x+1)/(x^(2)-10x...

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  3. Let g(x) be a function defined on[-1,1]dot If the area of the equilate...

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  4. The domain of definition of the function f(x)=sin^(-1)((x-3)/(2))-l...

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  5. Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

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  6. If f : R -> R are defined by f(x) = x - [x] and g(x) = [x] for x in R,...

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  7. The domain of definition f(x)=sqrt(log(0.4) ((x-1)/(x+5)))xx1/(x^2-36...

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  8. The set of all x for which the none of the functions is defined f(x)=l...

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  9. If f: R to R is defined by f(x)=x-[x]-(1)/(2) for all x in R , wher...

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  10. The domain of definition of f(x)=log(10) log(10)…..log(10)x n times, i...

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  11. The domain of the function f(x) = log10 log10 (1 + x ^3) is

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  12. The domain of the function f(x)=log(3)[-(log(3)x)^(2)+5log(3) x-6] is

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  13. The domain of definition of f(x)=log(3)|log(e)x|, is

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  14. The domain of definition of the function f(x)=log(3){-log(4)((6x-4)...

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  15. The domain of definition of the function f(X)=x^(log(10)x, is

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  16. The domain of the function f(x)=(1)/(sqrt(|cosx|+cosx)) is

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  17. If the function f(x)=log(x-2)-log(x-3) and g(x)=log((x-2)/(x-3)) are i...

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  18. The domain of definition of the function f(x)=sin^(-1)((4)/(3+2 cos x)...

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  19. The domain of the function f(x)=cos^(-1)[secx], where [x] denotes the ...

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  20. Let f be a real vlaued fuction with domain R such that f(x+1)+f(x-1)=s...

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