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LetA = {1, 2, 3}Then number of relations...

Let`A = {1, 2, 3}`Then number of relations containing `(1, 2) a n d (1, 3)`which are reflexive and symmetric but not transitive is (A) 1 (B) 2 (C) 3 (D) 4

A

1

B

2

C

3

D

4

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NCERT GUJARATI-RELATIONS AND FUNCTIONS -MISCLELLANEOUS EXERCISE ON CHAPTER 1
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  5. Show that the function f: R->Rgiven by f(x)=x^3is injective.

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  9. Given a non-empty set X, consider the binary operation *: P(X)xx P(X)...

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  10. Find the number of all onto functions from the set A={1,\ 2,\ 3,\ ...

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  11. Let S = {a , b , c} a n d T = {1, 2, 3}. Find F^(-1)of the following ...

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  12. Consider the binary operations *:" "RxxR ->R and o:" "R" "xx" "R->R de...

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  14. Define a binary operation *on the set {0," "1," "2," "3," "4," "5} as ...

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  15. Let A" "=" "{-1," "0," "1," "2} , B" "=" "{-4," "-2," "0," "2} and f,g...

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  16. LetA = {1, 2, 3}Then number of relations containing (1, 2) a n d (1, 3...

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

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  18. Let f: R->Rbe the Signum Function defined as f(x)={1,x >0 0,x=0-1,x<1 ...

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  19. Number of binary operations on the set {a, b} are (A) 10 (B) 16 (C)...

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