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JEE Math Practice Question

If ey + xy = e, the ordered pair $$\left( {{{dy} \over {dx}},{{{d^2}y} \over {d{x^2}}}} \right)$$ at x = 0 is equal to :

  1. A.$$\left( {{1 \over e}, - {1 \over {{e^2}}}} \right)$$
  2. B.$$\left( { - {1 \over e},{1 \over {{e^2}}}} \right)$$
  3. C.$$\left( { - {1 \over e}, - {1 \over {{e^2}}}} \right)$$
  4. D.$$\left( {{1 \over e},{1 \over {{e^2}}}} \right)$$

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