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If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - lo...

If `log_(1/2) ((x^2+6x+9)/(2(x+1)) )< - log_2(x+1)` then complete set of values of x is

A

`(-1,1+2sqrt(2))`

B

`(1-2sqrt(2),2)`

C

`(-1,oo)`

D

`(1-2sqrt(2),1+2sqrt(2))`

Text Solution

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The correct Answer is:
A
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RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
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  2. The range of real values of 'p' for which the equation 2log3^2 x-|log...

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  3. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

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  4. The least positive integer x, which satisfies the inequality log(log(x...

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  5. Complete set of solution of equation (log(0.3)(x-2))/(|x|) >= 0

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  6. The solution set of the inequality |9^x-3^(x+1) + 15| < 2.9^x - 3^x i...

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  7. The complete set of values of x satisfying the equation x^2. 2^(x+1)+...

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  8. If f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2)...

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  9. The number of solution of the equation sgn({x})=|1-x| is/are (where {*...

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  10. The complete set of solution of Inequality (x^2-5 x+6 sgn(x))/(x sgn(x...

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  11. (1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3...

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  12. If (m + 2) sintheta + (2m-1) costheta = 2m+1, then

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  13. Let 0le theta le pi/2 x=Xcos theta + Ysin theta y=Xsin theta - Y cos t...

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  14. Let (1+tan1^(ul0))(1+tan2^(ul0))......(1+tan45^(ul0))=2^(k) then k equ...

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  15. The number of solution of 2cosx=|sinx| where x in [0.4pi] is/are

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  16. if the equation sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0 is solved for ...

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  17. In (0,6pi), the number of solutions of the equation tantheta+tan2theta...

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  18. If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2...

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  19. The number of integral values of a for which the equation cos2x+a sin ...

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  20. If the arithmetic mean of the roots of the equation 4cos^(3)x-4cos^(2)...

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