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The number of solutions of 3^(|x|)=| 2-...

The number of solutions of `3^(|x|)=| 2-|x||`, is
A. 0
B. 2
C. 4
D. infinite

A

0

B

2

C

4

D

infinite

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-MISCELLANEOUS EQUATIONS AND INEQUATIONS -Exercise
  1. The number of solutions of the equation cos x+|x|=0 is

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  2. The number of solutions of the equation 2cos(x/2)=3^x+3^(-x) is

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  3. The number of solutions of 3^(|x|)=| 2-|x||, is A. 0 B. 2 C. 4 D...

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  4. If [x]^(2)=[x+6], where [x]= the greatest integer less than or equal t...

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  5. The equation sqrt((x+1))-sqrt((x-1))=sqrt((4x-1)) has

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  6. The equation sqrt(4x+9)-sqrt(11x+1)=sqrt(7x+4) has

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  7. The number of real roots of sin (2^x) cos (2^x) =1/4 (2^x+2^-x) is

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  8. The number of irrational solutions of the equation sqrt(x^(2)+sqrt(x...

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  9. The total number of roots of the equation | x-x^2-1|=|2x - 3-x^2| is ...

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  10. If 3^(x/2) + 2^x > 25 then the solution set is

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  11. Q. if (log5 x)^2+log5 x<2 then x belong to the interval

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  12. The number of real solutions of the equation 27^(1//x)+12^(1//x)=2.8...

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  13. The set of all real numbers satisfying the inequation 2^(x)+2^(|x|) ...

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  14. Solution set of x^((log(10)x)^(2)-3log(10)x+1)gt 1000 for x epsilon R ...

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  15. The solution set of the inequality log(sin(pi/3)(x^2-3x+2)geq2 is

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  16. The equation e^(x)=m(m+1), m lt0 has

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  17. Complete set of solution of log (1//3) (2 ^(x +2) - 4 ^(x)) ge -2 is :

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  18. If x,y in R, then (1)/(2)(x+y+|x-y|)=x holds iff

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  19. The equation e^(x-8) + 2x - 17 = 0 has :-

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  20. The solution set of the inequation log(1//3)(x^(2)+x+1)+1 gt 0, is

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