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JEE Math Practice Question

Let xk + yk = ak, (a, k > 0 ) and $${{dy} \over {dx}} + {\left( {{y \over x}} \right)^{{1 \over 3}}} = 0$$, then k is:

  1. A.$${1 \over 3}$$
  2. B.$${2 \over 3}$$
  3. C.$${4 \over 3}$$
  4. D.$${3 \over 2}$$

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