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JEE Math Practice Question

If xy4 attains maximum value at the point (x, y) on the line passing through the points (50 + $$\alpha$$, 0) and (0, 50 + $$\alpha$$), $$\alpha$$ > 0, then (x, y) also lies on the line :

  1. A.y = 4x
  2. B.x = 4y
  3. C.y = 4x + $$\alpha$$
  4. D.x = 4y $$-$$ $$\alpha$$

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