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If f(x)=sqrt(4-x^(2)) +1/(sqrt(abs(sinx)...

If f(x)`=sqrt(4-x^(2)) +1/(sqrt(abs(sinx)-sinx))`, then the-domain of f(x) is

A

[-2,0]

B

(0,2]

C

[-2,2]

D

[-2,0)

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The correct Answer is:
D
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FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
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  2. If f(x) = x^3 + 3x^2 + 12x - 2 sin x, where f: R rarr R, then (A) f(x)...

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  3. If k sin^(2)x+(1)/(k) cosec^(2) x=2, x in (0,(pi)/(2)), then cos^(2...

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  4. The exhausiive Intervals of real values of x such that sqrt(12-4x)gt1+...

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  5. The range of the function f(x) = sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

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  6. If fog = abs(sin x) and gof = sin^(2)x then f(x) and g(x) are:

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  7. Let S={(x,y):abs(abs(absx-2)-1)+abs(abs(absy-2)-1)=1). If S is made ou...

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  10. function f(x) =sin^(-1)(x-x^2)+sqrt(1-1/|x|+1/[x^2-1]) is defined in t...

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  11. The range of f(x) =sin(sin^(-1){x}). where { ·} denotes the fractional...

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  12. Range of f(x)=cos^(- 1)x+2sin^(- 1)x+3tan^(- 1)x is

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  13. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

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  14. If f(x)={x, when x is rational, 1-x, when x is irrational , then

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  15. If f:Rto(1,10), where f(x)=(x^(2)+1-alpha)/(x^(2)+2) is an onto functi...

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  16. If f(x)=cos |x| + [|(sinx)/2|], (where [.] denotes the greatest intege...

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  17. The range of function f(x) = sqrt(.^(x^2+4x)C(2x^2+3)) is

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  18. The curve y = f(x) is symmetric about the lines (10^(4)- 1)x + 2(10^(4...

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  19. If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distin...

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  20. lf domain of f(x) is [-1, 2] then domain of f([x]-x^2+4) where [.] den...

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