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A function f from the set of natural num...

A function f from the set of natural numbers N to the set of integers Z is defined by
`f(n)={((n-1)/(2),"when n is odd"),(-(n)/(2),"when n is even"):}`
Then f(n) is -

A

neither one-one nor onto

B

one-one but not onto

C

onto but not one-one

D

one-one and onto both

Text Solution

Verified by Experts

The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
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  2. If veca is unit vector in xy-plane making an angle (pi)/(4) with the x...

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  3. If f : R to R and g:R to R are defined by f(x)=2x+3 and g(x)=x^(2)...

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  4. The relation R={(1, 1), (2, 2), (3, 3)} on the set A={1,2,3} is -

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  5. If e^(f(x))=(10+x)/(10-x), x in (-10,10) and f(x)=kf((200x)/(100+x^(2)...

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  6. The position vectors of the three vertices of a triangle are (-hati-3h...

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  7. The inverse of the function f(x)=(10^(x)-10^(-x))/(10^(x)+10^(-x)) is ...

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  8. Let R be the set of real numbers and f:R to R be defined by f(x)=x^(2)...

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  9. Domain of definition of the function f(x)=(3)/(4-x^(2))+log(10)(x^(3)-...

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  10. If f(x)=|(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(x-1),x(x-1)(x-2),x(x-1)(x+1)...

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  11. the value of the determinant |(0, b^(3)-a^(3),c^(3)-a^(3)),(a^(3)-b...

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  12. If a^(2)+b^(2)+c^(2)=-2 and f(x)=|(1+a^(2)x,(1+b^(2))x,(1+c^(2))x),...

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  13. If a, b, c are all different and |(a,a^(3),a^(4)-1),(b,b^(3),b^(4)-1)...

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  14. If p ne 0, then the solutions of the equation |(1,1,x),(p+1,p+1,p+x),...

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  15. If A and B are two square matrices and if A^(-1) and B^(-1) exist, th...

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  16. If A=[(3,-5),(-4,2)], then the value of A^(2)-5A is equal to -

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  17. If A=|(5,6,-3),(-4,3,2),(-4,-7,3)| then the cofactors of the elements ...

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  18. If A=[(a,b),(b,a)]and A^(2)=[(alpha,beta),(beta,alpha)], then -

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  19. If A=[(1,2),(2,3),(3,4)] and B=[(1,2),(2,1)], then -

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  20. If A=[(2,-1),(0,1)] and B=[(1,0),(-1,-1)] then (A+B)^(2) is not equal ...

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