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Statement 1 : The domain of the functio...

Statement 1 : The domain of the function `f(x)=sqrt(x-[x])" is "R^(+)`
Statement 2 : The domain of the function `sqrt(f(x)) is {x : f (x) ge 0}`.

A

Statement-1 is True, Statement-2 is True and Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True and Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

Verified by Experts

The correct Answer is:
D
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VMC MODULES ENGLISH-FUNCTIONS-Level -1
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  2. Statement 1 : f (x) = |x - 3| + |x - 4| + |x - 7| where 4 lt x lt 7 is...

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  3. Statement 1 : The domain of the function f(x)=sqrt(x-[x])" is "R^(+) ...

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  4. If f(x)=sin[pi^2]x+sin[-pi^2]x, where [x] denotes the greatest integer...

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  5. The correct graph of y = (|log(2)2x|)/(log(2)2x) is

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  6. The graph of y=x is

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  7. The graph y = f (x) is as shown: The graph of y = f (–|x|) is:

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  8. The graph of f(x) is given below. Then, (a) Graph of -f(x)+2 is

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  9. Draw the following curves : y=||x^(2)|-2x-3| |x|+|y|=1

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  10. The range of the function f(x) = (1)/(2-sin 3x) is

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  11. Find the range of the function g(x)=(x^2+2x+3)/x.

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  12. The range of the function f(x)=(x^(2)-2)/(x^(2)-3) is

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  13. The function f(x)=log(10)((1+x)/(1-x)) satisfies the equation

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  14. The graph of the function y=f(x) is symmetrical about the line x=2, th...

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  15. The range of the function f(x) =[sinx+cosx] (where [x] denotes the gre...

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  16. Find the range of the function f(x)=3 sin (sqrt((pi^(2))/(16)-x^(2))).

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  17. f(1)=1, n ge 1 f(n+1)=2f(n)+1 then f(n)=

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  18. The function f(x)=cos(log(x+sqrt(x^2+1))) is :

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  19. f(x)=(sin x^(7)) e^(x^(5)). Sgn( x^(9)) is:

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  20. Which of the following functions is an odd function:

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