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If f(x)={x, when x is rational, 1-x, whe...

If f(x)={x, when x is rational, 1-x, when x is irrational , then

A

1

B

x

C

1+x

D

none of these

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The correct Answer is:
B
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FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
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  2. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

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  3. If f(x)={x, when x is rational, 1-x, when x is irrational , then

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  4. If f:Rto(1,10), where f(x)=(x^(2)+1-alpha)/(x^(2)+2) is an onto functi...

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  5. If f(x)=cos |x| + [|(sinx)/2|], (where [.] denotes the greatest intege...

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  6. The range of function f(x) = sqrt(.^(x^2+4x)C(2x^2+3)) is

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  7. The curve y = f(x) is symmetric about the lines (10^(4)- 1)x + 2(10^(4...

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  8. If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distin...

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  9. lf domain of f(x) is [-1, 2] then domain of f([x]-x^2+4) where [.] den...

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  10. Period of the function f(x) = [5x + 7] + cospix - 5x where [·] denotes...

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  11. The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in ...

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  12. Let Sn=sum(r+1)^(n)r ! (n>6), then Sn-7[(Sn)/7] (where [.] denotes the...

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  13. Period of the function f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]} is...

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  14. The graph of y = f(x} is shown, then the number of solutions of f(f(x}...

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  15. If f(x) = sin^(-1)(m^(2) -3m+ 1)sec (absx)/3-[e^(m-4)](sin{x}), where ...

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  16. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

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  17. If f(x)=abs(x-1)+abs(x-4)+abs(x-9)+…+abs(x-2500)AA x inR, where m and ...

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  18. Domain of the function f(x) = sin^(-1) [1 + cos x]- sqrt(16-x^(2)) ([....

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  19. The number of solutions of log(x)3. = 2x-3 is,

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  20. Domain of f(x)=sqrt((x-1)/(x-2{x})), where {.} denotes the fractional ...

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