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Let R be a relation on A = {a, b, c} suc...

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

A

Reflexive only

B

Symmetric only

C

Non - transitive

D

Equivalence

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The correct Answer is:
D
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
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  3. Let R be a relation on A = {a, b, c} such that R = {(a, a), (b, b), (c...

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

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  5. Given the relation R={(1,\ 2),\ (2,\ 3)} on the set A={1,\ 2,\ 3} , ad...

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

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

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  8. Let Z be the set of all integers and Z0 be the set of all non-zero int...

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  9. For real numbers x and y , define x\ R\ y iff x-y+sqrt(2) is an irrati...

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

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

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

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  13. Let A = {1, 2, 3}, B = {a, b, c}, C {a(1), b(1), c(1), d(1), e(1)} an...

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  14. Select the correct match

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

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  16. Identify the correct option

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

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  18. A function f(x) given by f(x)={{:(x^(2)sin""(pix)/(2), |x| lt1),(x|...

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  19. Let f(x+y) + f(x-y) = 2f(x)f(y) for x, y in R and f(0) != 0. Then f(x)...

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  20. Let a real valued function f satisfy f(x + y) = f(x)f(y)AA x, y in R a...

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