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

If a, b, c, d are are positive real numbers such that a+b+c+d=2, then M=(a+b)(c+d) satisfies the relation is:

A

`((a^5+b^5+c^5)/5)gt((a^3+b^3+c^3)/3)((a^2+b^2c^2)/2)`

B

`((a^5+b^5+c^5)/5)lt((a^3+b^3+c^3)/3)((a^2+b^2+c^2)/2)`

C

`((a^5+b^5+c^5)/5)=((a^3+b^3+c^3)/3)((a^2+b^2+c^2)/2)`

D

`((a^5+b^5+c^5)/5)=6((a^3+b^3+c^3)/3)((a^2+b^2+c^2)/2)`

Text Solution

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The correct Answer is:
C
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