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If log(4)(x+2y)+log(4)(x-2y)=1, then S...

If `log_(4)(x+2y)+log_(4)(x-2y)=1,` then
Statement-1: `(|x|-|y|)_(min)=sqrt(3)`
Statement-2: `AMgeGM`

A

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

B

Statement-1 is True, Statement -2 is True, 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:
B
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FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
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  2. Domain of the function f(x) = sin^(-1) [1 + cos x]- sqrt(16-x^(2)) ([....

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  3. The number of solutions of log(x)3. = 2x-3 is,

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  4. Domain of f(x)=sqrt((x-1)/(x-2{x})), where {.} denotes the fractional ...

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  5. Let f(x)=sqrt([sin 2x] -[cos 2x]) (where I I denotes the greatest inte...

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  6. The region M consists of all the points (x, y) satisfying the inequali...

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  7. The domain of the function f(x)=sqrt(((sinx-e^(x))(cosx-3)("In"x+2))/(...

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  8. A function f: I to I, f(x + y) = f(x) + f(y) - 1/2 AAx, y in I, where ...

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  9. Consider the function f: A -> A where A:{1,2,3,4,5} which satisfy the...

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  10. If f(x+y)=f(x)-f(y)+2xy-1AAx,yinR. Also if f(x) is differentiable and ...

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  11. If f(x) is a real-valued function discontinuous at all integral points...

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  12. A function f from integers to integers is defined as f(x)={{:(n+3",",n...

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  13. f(x)+f(1-1/x)=1+x for x in R-{0,1}. Find the value of 4f(2).

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  14. Xa n dY are two sets and f: XvecYdot If {f(c)=y ; csubX ,ysubY}a n d{f...

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  15. The range of the function f(x) = sqrt(4 - x^2) + sqrt(x^2 - 1) is

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  16. The domain function f(x) = 1/ (sqrt((|sin^-1x|-cos^-1|x|))) is given b...

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  17. If f(x)=abs(1/(abs(absx-2))+1/(abs(absx-3))) and g(x)=sin^(-1)(2sqrtx)...

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  18. If a function satisfies the condition f(x+1/x)=x^(2)+1/(x^(2)),xne0, t...

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  19. Statement -1: f(x) is invertible function and f(f(x)) = x AA x in doma...

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  20. If log(4)(x+2y)+log(4)(x-2y)=1, then Statement-1: (|x|-|y|)(min)=sqr...

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