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Which of the following is a function ?...

Which of the following is a function ?

A

`{(x, y) : y = |x|, x, y in R}`

B

`{(x,y) : y^(2) = x , x, y in R}`

C

`{(x, y) : x^(2) + y^(2) = 1, x, y in R}`

D

`{(x, y) : x^(2) - y^(2) = 1, x, y in R}`

Text Solution

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The correct Answer is:
A
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. Let X be any non-empty set containing n elements, then the number of r...

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  2. Let A = {2, 3, 5}, B = (10, 12, 15}, then which of the following is a ...

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  3. Which of the following is a function ?

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  4. If f : R rarr R be defined as f(x) = 2x + |x|, then f(2x) + f(-x) - f...

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  5. Let n(A) = m and n(B) = n. The total number of non-empty relations tha...

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  6. If f(x) = ax + b, where a and b are integers, f(-1) = -5 and f(3) = 3,...

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  7. Domain of the functions f defined b f(x) = (5-x)/(x-5) is

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  8. Domain of the function f defined by f(x) = sqrt(x-1) is given by

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  9. Domain of the function defined by f(x) = (x^(2) + 2x +1)/(x^(2) - x - ...

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  10. Domain of the function f given by f(x) = 2-|x-5| is

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  11. The domain of the function (x^(2) + 8x + 9)/(x^(2) - 9x + 20) is

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  12. Range (परिसर) of f(x) = (3)/(2-x^(2)) is

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  13. Range of f(x) = |x-2| is

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  14. Range of f(x) = |x-3| is

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  15. Range [परिसर] of f(x) = (1)/(2x-1) is

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  16. Range of f(x) = x^(3) is

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  17. The possible value(s), the expression (|x-5|)/(x-5) can take is

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  18. If f(x) = 3x + 1 and g(x) = x^(2) - 1, then (f + g) (x) is equal to

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  19. If f(x) = 7x + 9 and g(x) = 7x^(2) - 3, then (f - g)(x) is equal to

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  20. If f(x) is an identity function, then f(5) is equal to

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