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The mapping f:NrarrN given by f(n)=1+n^(...

The mapping `f:NrarrN` given by `f(n)=1+n^(2), n in N` where N is the set of natural numbers, is

A

One to one and onto

B

Onto but not one-to-one

C

One-to-one but not onto

D

Neither one-to-one nor onto

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. A mappin f : N rarrN where N is the set of natural numbers is defined ...

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  2. If the magnitude of the coefficient of x^(7) in the expansion of (ax^(...

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  3. The mapping f:NrarrN given by f(n)=1+n^(2), n in N where N is the set ...

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  4. A and B are two points on the Argand plane such that the segment AB is...

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  5. A function f : A rarrB, where A={x:-1lexle1} and B={y//1leyle2} is def...

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  6. The function f(x) which satisfies f(x)=f(-x)=(f'(x))/(x) is given by

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  7. A function f(x) is defined as follows for real x f(x)={{:(1-x^(2),", f...

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  8. Select the correct statement from (A), (B), (C ), (D). The function f(...

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  9. The equation e^(x)+x-1=0 has, apart from x = 0

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  10. The function f(x)=e^(ax)+e^(-ax),agt0 is monotonically increasing for

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  11. Find the following: int 1/(x(x^7+1))dx

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  12. If ""^(16)C(r)=""^(16)C(r+1) then the value of ""^(r)P(r-3) is

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  13. The coefficient of x^(-10) in (x^(2)-(1)/(x^(3)))^(10) is

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  14. If the matrix [(a,b),(c,d)] is commutative with the matrix [(1,1),(0,1...

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  15. If 1,omega,omega^(2) are cube roots of unity, then |(1,omega^(n),omega...

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  16. Let A={1,2,3} and B={2,3,4}, then which of the following relations is ...

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  17. One possible condition for the three points (a,b),(b,a) and (a^(2),-b^...

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  18. If the m^(th) term and the n^(th) term of an A.P. are respectively (1)...

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  19. Find the following: int1^4abs[x-2]dx

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  20. Find int0^(pi/2) logtanxdx

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