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If S is a set with 10 elements and A={(x...

If S is a set with 10 elements and `A={(x,y): x,y in S,x ne y}`, then the number of elements in A is :

A

100

B

90

C

50

D

45

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. f(x)= 1/([sqrt(|x|-x)]). Domain of the function is :

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  2. Let A and B be sets. If A nn X = B nn X =phi and A uu X = B uu X for s...

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  3. If S is a set with 10 elements and A={(x,y): x,y in S,x ne y}, then th...

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  4. If A and B are subsets of a set X, then what is : (A nn (X -B))uu B eq...

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  5. If V = {x: x+2=0} R= {x: x^2+2x =0} S= {x: x^2+x-2=0}. then for what ...

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  6. What is the total number of proper subsets of a set containing n eleme...

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  7. Which one of the following is correct?

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  8. Let R = {x|x in N, x is a multiple of 3 and xle100} S= {x|x in N, x is...

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  9. If X and Y are two non-empty sets, then what is (X - Y)' equal to

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  10. If A, B and C are three finite sets, then what is , [(A uu B) nn C]' e...

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  11. The total number of subsets of a finite set A has 56 more elements the...

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  12. Out of a group of 20 teachers in a school, 10 teach Mathematics, 9 tea...

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  13. Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions...

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  14. The domain of sin^-1 [log3 (x//3)] is :

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  15. Find the period of f(x)=sin^(4)x+cos^(4)x.

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  16. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (a) (...

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  17. Let R = {(1, 3), (4, 2), (2, 4), (2, 3) (3, 1)} be a a relation on the...

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  18. If f : R rarr S, defined by : f(x) = sin x-sqrt3 cosx+1 is onto , then...

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  19. The domain of the function : f(x)= (sin^(-1) (x-3))/(sqrt(9-x^2)) is ...

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  20. The range of the function f(x) = "^(7-x)P(x-3) is :

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