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Prove that [(x^2+y^2+z^2)/(x+y+z)]^(x+y+...

Prove that `[(x^2+y^2+z^2)/(x+y+z)]^(x+y+z)> x^x y^y z^z >[(x+y+z)/3]^(x+y+z)(x ,y ,z >0)`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If A^2+A+I=0 , then A is non-singular A!=0 (b) A is singular A^(-...

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  2. Tangent and normal to the curve y=2sin x+sin2x are drawn at p(x=pi/3) ...

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  3. Prove that [(x^2+y^2+z^2)/(x+y+z)]^(x+y+z)> x^x y^y z^z >[(x+y+z)/3]^(...

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  4. The curve y=x^3+x^2-x has two horizontal tangents. The distance betwee...

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  5. f(x)=sqrt(x^(12)-x^(9)+x^(4)-x+1)

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  6. The point of intersection of tangent to the curve y=x^4 at (1,1) with ...

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  7. Equation of straight line a x+b y+c=0 , where 3a+4b+c=0 , which is at ...

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  8. Tangents are drawn from the point P(1,-1) to the circle x^2+y^2-4x-6y-...

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  9. Let A =[[1,2,2],[2,1,2],[2,2,1]], then

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  10. The derivative of (log)(10)x w.r.t. x^2 is equal to 1/(2x^2)loge 10 (...

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  11. If A=[1 2 0-1 1 2 2-1 1],t h e ndet(A d j(A d jA))= 13 (b) 13^2 (c) ...

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  12. Which of the following limits tends to unity? (a) ("lim")(xvec0)sin(ta...

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  13. The algebraic sum of perpendicular distances from A(x(1),y(1)), B(x(2)...

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  14. If sum(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7), then the ...

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  15. The solution set of the inequation 3^(72)(1/3)^x(1/3)^(sqrt(x))>1 ...

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  16. Which of the following is/are correct?

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  17. Find the area of the triangle formed by the positive x-axis and the no...

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  18. Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((...

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  19. Let m ,n are integers with 0<n<mdot A is the point (m , n) on the Cart...

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  20. Let g:R to R be given by g (x) =3+ 4x if g ^(n)(x) = gogogo……og (x) n ...

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