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The domain of the function f(x)=sqrt(x-s...

The domain of the function `f(x)=sqrt(x-sqrt(1-x^2))` is

A

`[-1, (-1)/(sqrt(2))] cup [(1)/(sqrt(2)), 1]`

B

[-1, 1]

C

`(-oo, -(1)/(sqrt(2))] cup [(1)/(sqrt(2)), +oo)`

D

`[(1)/(sqrt(2)), 1]`

Text Solution

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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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  3. The domain of the function f(x)=sqrt(x-sqrt(1-x^2)) is

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  4. The range of f(x) = 2+2x +x^(2) is

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  5. The range of the expression 2^(x) + 2^(-x) + 3^(x) + 3^(-x) for x in R...

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  6. Let [], and {} denotes the greatest integer function and fractional fu...

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  7. The range of the function y = f(x) if (34)^(x) + (34)^(y) = 34 equals

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  8. The domain of the function f(x) = (x^(2) -x)/(x^(2) + 2x + 1) is

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  9. Which of the following is a function ?

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

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  12. Let y=sgn (x), then

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

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

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

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

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

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