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Let A ={1,2,3,4,5,6} . Define a relat...

Let A ={1,2,3,4,5,6} . Define a relation R from A to A by `R = {(x,y):y =x+1}`
Depict this relation using an arrow diagram .

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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
  1. Let B = {1, 2, 3, 4, 5, .....30}, A = {2,3, 4, 5, 6, 7, 8, 9, 10}. A r...

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  2. Let A and B are two sets such that A xx B consists of 6 elements. If t...

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  3. Let A ={1,2,3,4,5,6} . Define a relation R from A to A by R = {(...

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  4. Let A = {2, 3, 4}, B ={3, 4, 5} be two sets and a relation R is define...

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  5. Let f(x^(3)) = x^(4) + x^(5) + x + 1, then the value of f(8) is

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  6. If f(x) = (x-1)/(x+1) then f(ax) in term of f(x) is equal to

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  7. If f(x + y, x-y) = xy then the arithmetic mean of f(x, y) and f(y, x) ...

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  8. If 2f(x^2)+3f(1/x^2)=x^2-1, then f(x^2) is

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  9. The maximum number of values of x satisfying |x-2| + |x-4| = 2 is

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  10. The value of x if 0 le |2x + 3| le 3 belongs to

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  11. If |x + 4| + |x-4|=2|x| and |x+1|+|5-x|=6 then x belongs to

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  12. If [] and {} represents the greatest integer function and fractional f...

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  13. If f(x) = cos [pi]x + cos [pi x], where [y] is the greatest integer fu...

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  14. Range of function (1)/(3- sin 3x) is

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  15. If -1 le [2x^2 -3] lt 2, then x belongs to

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  16. Range of f(x) = (x+2)/(|x+2|)

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  17. If f(x) = log ((1+x)/(1-x)), then f((2x)/(1+x^(2))) is equal to

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  18. The domain of f(x) = log |x| + 1/sqrt|x| + 1/log|x| is R - A where A i...

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  19. The largest set of real values of x for which f(x)=sqrt((x + 2)(5-x))...

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  20. The domain of the function f(x) = (x^(2) + 1)/(ln (x^(2) + 1)) is

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