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f(x) =x^3/3+x^2/2+ax +b,AAx inR. If (x) ...

`f(x) =x^3/3+x^2/2+ax +b,AAx inR.` If (x) is one one function then the minimum value of a is ........

A

`1/4`

B

1

C

`1/2`

D

`1/8`

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A
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
  1. f: N rarr N , f(n) = (n+5)^(2) , n in N , then the function f is ........

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  2. f: [0,oo) rarr [0,oo) , f(x) = x/(1+x) then the function f is ...........

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  3. f(x) =x^3/3+x^2/2+ax +b,AAx inR. If (x) is one one function then the m...

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  4. f(x) = x^(2) - 2x -1, AA x in R, f:(-oo,oo] rarr [b,oo) is one one an...

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  5. f(x) = (e^(x)-e^(-x))/(e^(x)+e^(-x))+2 . The inverse of f(x) is .........

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  6. f:(2,4)rarr(1,3),f(x) = x - [(x)/2] , where [.] is a greatest integer ...

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  7. f: [2,oo) rarr y, f(x) = x^(2)-4x +5 is a one and Onto function . If y...

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  8. f:N rarrN , f(x)=x+(-1)^(x-1) then f^(-1)(x)= .......

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  9. a gt 1 is a real number f(x) = log(a)x^2 , where x gt 0 If f^(-1)(x)...

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  10. f : R rarr R , f(x) = 2 x + |cosx| then f is ......... function .

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  11. The number of onto function from set {1,2,3,4} " to " {3,4,7} is ........

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  12. Match the Section (A) with the Section (B) properly.

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  13. f:[0,3] rarr [1,29],f(x) =2x^(3)-15x^2+36x+1 then f is ........ functi...

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  14. f(x,y) = (max (x,y))^((min(x,y))) and g(x,y)= max (x,y) - min (x,y) th...

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  15. Let A = {1,2,3}. Then number of equivalence relations containing (1,2)...

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  16. S is defined in Z by (x,y ) in S hArr |x-y| le 1. S is ........

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  17. If S is defined on R by (x,y) inR hArr xy ge 0 . Then S is ...........

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  18. Which of the following defined on Z is not an equivalence relation ?

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  19. If a**b=(ab)/3 on Q^+ then the inverse of a(a ne0) for ** is ......

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  20. The number of binary operation on {1,2,3,......,n} is ..........

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