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

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

A

`x gt y`

B

`x lt y `

C

x=y

D

` x ge y`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-MISCELLANEOUS EQUATIONS AND INEQUATIONS -Exercise
  1. The equation sqrt(4x+9)-sqrt(11x+1)=sqrt(7x+4) has

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If log(3)x-log(x)27 lt 2, then x belongs to the interval

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  17. log(16)x^(3)+(log(2)sqrt(x))^(2) lt 1 iff x lies in

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  18. The number of solutions of the equation log(x-3) (x^3-3x^2-4x+8)=3 is

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  19. If 0 lt a lt 1, then the solution set of the inequation (1+(log(a)x)...

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  20. The numebr of solution (s) of the inequation sqrt(3x^(2)+6x+7)+sqrt(...

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