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If a,b,c are distinct positive real numb...

If a,b,c are distinct positive real numbers, then

A

`a^(4)+b^(4)gta^(3)b+ab^(3)`

B

`a^(4)+b^(4)lta^(3)b+ab^(3)`

C

`a^(3)+b^(3)lta^(2)b+ab^(2)`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-INEQUALITIES -Section I - Mcqs
  1. Evaluate int(x^(3))/((x-1)(x-2))dx

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

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  3. If a,b,c are distinct positive real numbers, then

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  4. 2^(sin^(2)x)+2^(cos^(2)x) is

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

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

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

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

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

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

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

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

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

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

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  15. The expression (a+b+c)(b+c-a)(c+a-b)(a+b-c) lekb^(2)c^(2) then k can...

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  16. If n is even and nge4,x(1),x(2),...,x(n)ge0 and x(1)+x(2)+...+x(n)=1,...

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  17. Find the least value of n such that (n-2)x^2+x+n+4>0,AAx in R ,w h e ...

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  18. The number of solution (s) of equation sin sin^(-1)([x])+cos^(-1)cosx=...

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  19. Number of solutions of |(1)/(|x|-1)|=x+sinx, is

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  20. The solution set of equation (x+2)^(2)+[x-2]^(2)=(x-2)^(2)+[x+2]^(2)...

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