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Consider three sets A = {1, 2, 3}, B = {...

Consider three sets A = {1, 2, 3}, B = {3, 4, 5, 6}, C = {6, 7, 8, 9}. `R_(1)` is defined from A to B such that `R_(1) = {(x, y) : 4x lt y, x in A, y in B}`. Similarly `R_(2)` is defined from B to C such that `R_(2) = {(x, y) : 2x le y, x in B` and `y in C`} then `R_(1)oR_(2)^(-1)` is

A

{(3, 1)}

B

{(1, 1)}

C

{(1, 3)}

D

`phi`

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The correct Answer is:
D
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
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  2. Consider two sets A = {a, b}, B = {e, f}. If maximum numbers of relati...

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  3. Consider three sets A = {1, 2, 3}, B = {3, 4, 5, 6}, C = {6, 7, 8, 9}....

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  4. Consider the set A= {3, 4, 5} and the number of null relations, identi...

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  5. Let L be the set of all straight lines in plane. l(1) and l(2) are two...

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  6. Let R be a relation on A = {a, b, c} such that R = {(a, a), (b, b), (c...

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  7. Let R be a relation on the set of all real numbers defined by xRy iff ...

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  8. Let R = {(1, 2), (2, 3)} be a relation defined on set {1, 2, 3}. The m...

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  9. Let S be the set of all real numbers. Then the relation R= {(a,b):1+...

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  10. Let w denotes the set of words in the English dictionary. Define the r...

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  11. Let S = {1, 2, 3, 4, 5} and A = S xx .A relation R on A is defined as ...

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  12. For real numbers x and y, we write x* y, if x - y +sqrt2 is an irratio...

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  13. If f(1)(x) = 2x + 3, f(2)(x) = 3x^(2) + 5, f(3)(x) = x + cos x are def...

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  14. Which of the functions defined below is one one function ?

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  15. Let f(x) = ax^(3) + bx^(2) + cx + d, a != 0, where a, b, c, d in R. If...

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  17. Select the correct option

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  18. Let f : [2, 4) rarr [1, 3) be a function defined by f(x) = x - [(x)/(2...

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  19. Identify the correct option

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  20. Which of the following function is an even function ?

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