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The function f : N to N is defined by f(...

The function f : N `to` N is defined by `f(n)={((n+1)/2" , if n is odd"),(n/2" , if n is even"):}`
The function f is :

A

bijective

B

one-one but not onto

C

onto but not one-one

D

neither one-one nor onto

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XII BOARDS PREVIOUS YEAR-QUESTION PAPER 2022 TERM 1 SET 2-SECTION B
  1. The number of equivalence relations in the set (1, 2, 3) containing th...

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  2. Let f : R to R be defined by f(x) = 1/x, for all x inR. Then, f is :

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  3. The function f : N to N is defined by f(n)={((n+1)/2" , if n is odd"),...

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  4. The value of sin^(-1)("cos"(13pi)/5) is :

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  5. If sin^(-1) x gt cos^(-1) x then x is

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  6. If A = [ (cos alpha ,- sin alpha ),(sin alpha ,cos alpha)], then A + A...

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  7. The determinant |{:(y+k ," " y , " "y),(y , y+k," " y),(y , " "y , y+k...

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  8. If A = [{:(1,-2, 4),(2,-1, 3),(4,2,0):}] is the adjoint of a square ma...

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  9. If A = [{:(1,-1,1),(1,-1,1),(1,-1,1):}] , then A^5 -A^4 -A^3 +A^2 is e...

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  10. If y = e^(-x) , then (d^2y)/(dx^2) is equal to :

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  11. If x = t^2 + 1 , y = 2"at" then (d^2 y)/(dx^2) at t = a is :

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  12. The function f(x) {{:(x^2 , "for " , x lt 1 ),(2-x,"for",x ge 1):} is

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  13. The curve x^(2) -xy + y^(2) =27 has tangents parallel to x-axis at :

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  14. A wire of length 20 cm is bent in the form of a sector of a circle. Th...

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  15. The function (x-sin x) decreases for :

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  16. If theta is the angle of intersection between the curves y^(2)=4ax and...

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  17. The maximum value of z =3x+4y subject to the constraints x ge 0 , y g...

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  18. The feasible region of an LPP is given in the following figure : ...

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  19. If the minimum value of an objective function Z = ax + by occurs at t...

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  20. For the following LPP Maximise Z = 3x + 4y subject to constraint...

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