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Let S be the set of all real numbers. Th...

Let `S` be the set of all real numbers. Then the relation `R= `
`{(a,b):1+abgt0}` on `S` is

A

Reflexive and symmetric but not transitive

B

Reflexive and transitive but not symmetric

C

Symmetric and transitive but not reflexive

D

Reflexive, symmetric and transitive

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The correct Answer is:
A
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - B) Objective Type Questions (one option is correct)
  1. Let R be a relation on the set of all real numbers defined by xRy iff ...

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

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

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

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

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

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

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

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

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  10. 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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  11. Select the correct option

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

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  13. Identify the correct option

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

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

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

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  18. Let f: R rarr R be a function defined as f(x)=[(x+1)^2]^(1/3)+[(x-1)^2...

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  19. Let f(x) = |sinx| + |cosx|, g(x) = cos(cosx) + cos(sinx) ,h(x)={-x/2...

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  20. Identify the incorrect statement

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