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The range of the function defined as f(x...

The range of the function defined as `f(x) = log_(3)((1)/(sqrt([cosx] - [sin x])))`, where [ ] represents the greatest integer function, is

A

{0}

B

`[-(pi)/(2), 0]`

C

[0, 1]

D

{1}

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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. If f(x) is a polynomial function of the second degree such that, f(-3)...

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  2. Let y=sgn (x), then

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  3. The range of the function defined as f(x) = log(3)((1)/(sqrt([cosx] - ...

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  4. Let R be a relation defined on set A={1, 2, 3,4,5,6,7,8} such that R=...

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  5. Consider two sets A = {a, b}, B = {e, f}. If maximum numbers of relati...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. 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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  20. Select the correct option

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