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"Let "f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-...

`"Let "f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1-1))x." Then"`

A

domain of f(x) is `x ge 1`

B

domain of f(x) is `[1,infty)-{2}`

C

f'(10)=1

D

`f'(3/2)=-1`

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B, C, D
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ARIHANT MATHS ENGLISH-FUNCTIONS-Exercise (More Than One Correct Option Type Questions)
  1. Which of the following fuunction(s) is/are transcendal?

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  2. "Let "f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1-1))x." Then"

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  3. If the following functions are defined from [-1,1]to[-1,1], select tho...

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  4. Let f(x)={{:(x^(2)-4x+3",", x lt 3),(x-4",", x ge 3):} and g(x)={{:(...

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  5. f(x)=x^2-2a x+a(a+1),f:[a ,oo)vec[a ,oo)dot If one of the solution of ...

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  6. The function 'g' defined by g(x)=sin(sin^(-1){sqrt(x)}+cos (sin^(-1){s...

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  7. The graph of f:R rarr R defined by y=f(x) is symmetric with respect to...

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  8. Let f be the continuous and differentiable function such that f(x)=f(2...

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  9. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then

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  10. Let A={1,2,3,4,5}, B={1,2,3,4} and f:A rarr B is a function, then

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  11. If f(x) is a differntiable function satisfying the condition f(100x)=x...

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  12. If [x] denotes the greatest integer function then the extreme values o...

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  13. If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,......

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  14. Let f: R->R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in R...

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  15. Let f(x)=1-x-x^3.Find all real values of x satisfying the inequality,...

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  16. If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y i...

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  17. If the fundamental period of function f(x)=sinx+cos(sqrt(4-a^(2)))x "...

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  18. Let f (x) be a real vaued continuous function such that f (0) =1/2 a...

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  19. if f(g(x)) is one-one function, then

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  20. Which of the following functions have their range equal to R(the set o...

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