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Let x^(k)+y^(k) , (a,k gt 0) and (dy)/(d...

Let `x^(k)+y^(k) , (a,k gt 0) and (dy)/(dx) +((y)/(x))^((1)/(3)) =0` then k is :

A

` log _ e 2 `

B

` 2 e `

C

`1 + log _ e 2 `

D

` 2 + log _ e 2`

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The correct Answer is:
C
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