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The number of solution(s) integer functi...

The number of solution(s) integer function and ) of the equation `[x] + 2{-x} =3x`, is/are (where (] represents the greatest integer function and {x} denotes the fractional part of x)

A

1

B

2

C

3

D

0

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The correct Answer is:
C
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MOTION-FUNCTION-Exercise - 2 (Level-I)
  1. The domain and range of f(x) = cos^(-1)sqrt(log([x])(|x|/(x))) where[....

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  2. Which of the following pair of functions are identical ?

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  3. The number of solution(s) integer function and ) of the equation [x] +...

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  4. If A , B , C are three real numbers and p=[A+b+C] and q=[A]+[B]+[C]dot...

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  5. Which of the following has range above y = 2

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  6. Siny = Sinx has graph

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  7. If f : [0,oo)to [0,oo) and f(x) =(x)/(1+x), then f is

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  8. Let f: (e, oo) -> R be defined by f(x) =ln(ln(In x)), then

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  9. If f(x) = 2[x] + cosx, then f : R to R is (where [ * ] denotes great...

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  10. If the real-valued function f(x) = px + sinx is a bijective function, ...

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  11. Let S be the set of all triangles and R^+ be the set of positive real ...

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  12. If g:[-2,2]vecR , where f(x)=x^3+tanx+[(x^2+1)/P] is an odd function, ...

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  13. A function f(x)=(2x(sin x))/(2[(x+21 pi)/(pi)]-41)(1) Even function (...

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  14. Let f(x)={:{(4, :, x lt-1),(-4x,:,-1 lex le 0):}. If f(x) is an even ...

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  15. If the graph of the function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is symmet...

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  16. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

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  17. The fundamental period of function f(x) = [x] + [x + (1)/(3)] + [x + (...

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  18. Let f: R to R be a periodic function such that f(T+x)=1" " where T...

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  19. Fundamental period of the function f(x) = cos (sinx) + cos(cosx) is :

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  20. If f(x+1)+f(x-1)=2f(x)a n df(0),=0, then f(n),n in N , is nf(1) (b) ...

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