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The range of [x] -x is A and x-[x] is B ...

The range of [x] -x is A and x-[x] is B then `A cap B` =

A

[0]

B

(-1,1)

C

(0,1)

D

`phi`

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The correct Answer is:
A
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. Range of f(x) =[sin x] is A, Range of f(x) = [tan x] is B then A cap B...

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  2. The range of the function f(x) = cos[x] where -pi/2 lt x lt pi/2 is

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  3. The range of [x] -x is A and x-[x] is B then A cap B =

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  4. If f : R to R is defined by f(x) = [2x]-2[x] for x in R, where [x] is...

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  5. The range of sin log [(sqrt(4-x^(2))/(1-x))] is

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  6. Let f(x) = sinx and g(x) = log|x|.If the ranges of composite functions...

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  7. If f from [-1,1] into [-1,1] defined by f(x) =3x-5 then f is:

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  8. If f: D to R be the function with domain: D={x: -pi/2 lt x lt pi/2} ...

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  9. If f: R to R defined by f(x) ={{:(2x+5, if, x gt 0),(3x-2, if, x le 0...

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  10. If f: R to R is defined by f(x) =x+ sqrt(x^(2)), then f is:

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  11. A={x:-1 le x le 1}, f: A to A defined by f(x) =x|x|. Then f is:

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  12. If f(x)=|x-1|+|x-2|+|x-3|,2 lt x lt 3, then f is

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  13. y=f(x) =x/(1+|x|), x in R, y in R is

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  14. f: R to R is a function defined by f(x) =(e^(|x|) -e^(-x))/(e^(x) + e^...

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  15. If f: R to R defined by f(x) =(e^(x^(2)) -e^(-x^(2)))/(e^(x^(2)) +e^(-...

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  16. If f:[0,1] to [-1,3] defined by f(x) =x^(2)+x+1, then f is

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  17. If f: R to R defined by f(x) =x^(2)-2x-3, then f is:

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  18. If f:R rarr(0, 1] is defined by f(x)=(1)/(x^(2)+1), then f is

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  19. If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1), then f(x) is

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  20. Which of the following functions is not injective ?

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