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If a and b are two different positive re...

If a and b are two different positive real numbers then which of the following statement is true?

A

`2sqrt(ab)gta+b`

B

`2sqrt(ab)lta+b`

C

`2sqrt(ab)=a+b`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-INEQUALITIES -Section I - Mcqs
  1. If a(1),a(2),a(3) be any positive real numbers, then which of the foll...

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  2. For theta>pi/3, the value of f(theta)=sec^2theta+cos^2theta always lie...

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  3. If a and b are two different positive real numbers then which of the f...

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  4. If 0ltxlt(pi)/(2) then the minimum value of (cos^(3)x)/(sinx)+(sin^(3)...

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  5. If a, b, c are positive real numbers such that a+b+c=2 then, which one...

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  6. If a, b, c are positive real numbers such that a+b+c=p then, which of ...

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  7. Evaluate: int(x^3)/((x-1)(x-2))dx

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  8. If roots of the equation x^(4)-8x^(3)+bx^(2)+cx+16=0 are positive, the...

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  9. If a, b are distinct positive real numbers, then which one of the foll...

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  10. 2^(sin^(2)x)+2^(cos^(2)x) is

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  11. If xyz=abc, then the least value of bcx+cay+abz, is

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  12. The number of orded 4-tuples (x,y,z,w) where x,y,z,w in[0,10] which sa...

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  13. The range of ab if |a|le1" and "a+b=1,(a, b in R), is

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  14. If A = x^2+1/x^2 , B = x-1/x then minimum value of A/B is

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  15. The least perimeter of a cyclic quadrilateral of given area A square u...

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  16. A stick of length 20 units is to be divided into n parts so that the p...

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  17. If x. y, z are positive real numbers such that x^2+y^2+z^2=27, then ...

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  18. If x(1),x(2),...,x(n) are real numbers, then the largest value of the ...

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  19. The minimum value of the sum of the lengths of diagonals of a cyclic q...

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  20. The minimum value of |sinx+cosx+tanx+secx+"cosec"x+cotx|, is

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