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Find which two are correct from the foll...

Find which two are correct from the following.
(i)`(x^(3) + sin x)` is an odd function.
(ii) If A is a set having 4 elements then the power set will have 64 elements.
(iii) If a relations is reflexive, antisymmetric and transitive it is called equivalence relation.
(iv) The product of two odd functions are even.

A

(i) and (ii) are correct

B

(i) and (iv) are correct

C

(ii) and (iii) are correct

D

(iii) and (iv) are correct

Text Solution

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The correct Answer is:
B
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PREMIERS PUBLISHERS-SETS,RELATIONS AND FUNCATIONS-II. Choose the correct option for the following. (M.C.Q)
  1. Find the odd man out: Let A-(1,2,3,4) then

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  2. Find the odd man out: Let X - {1,2,3,4), Y = {a,b,c,d,e)

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  3. The set of all numbers greater than 0 is an ……..interval

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  4. The product of an odd function and an even function is:

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  5. Match the following: Let A -(0, 1, 2, 3) then the relations R(1), R(2)...

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  6. Let A and B be two sets. Then A-B equals

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  7. Find the odd one out:

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  8. Assertion: If f, g, h are real valued functions then f(g+h)=fg+fh. Re...

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  9. Assertion: The product of even functions an odd function is an odd fun...

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  10. The number of reflective relations one containing n elements is:

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  11. The number of relations from a set containi 4 elements to a set contai...

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  12. Domain of the function y =(x-1)/(x+1)  is:

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  13. If f:RtoR is defined by f(x) = 2x - 3:

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  14. n(A capB) = 4 and n(AcupB)=11 then n(p(ADeltaB)) is:

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  15. n(p(A)) = 512, n(p(B) = 32, n(AcupB) = 16, find n(AcapB ):

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  16. Let S (1,2,3). R be(1, 1) (1.2) (2, 2) (1.3) (3.1), what are the eleme...

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  17. The natural domain of the function y=sqrt(9-x^(2)) is :

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  18. Let X=a, b, c, y = (1, 2, 3) thenf :xtoy given by (a, 1) (6, 1) (6, 1)...

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  19. If f: [-2, 2]toA is given by f(x) = 3^(3) then f is onto, if A is:

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  20. Find which two are correct from the following. (i)(x^(3) + sin x) is ...

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