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Question

If xy and yx are rational numbers, then which of the following options is correct?


  1. x can be 0, y ≠ 0

  2. x ≠ 0, y can be 0

  3. x ≠ 0, y ≠ 0

  4. both x and y can be 0


Solution

The correct option is C

x ≠ 0, y ≠ 0


A rational number cannot have its denominator as 0. As xy and yx are rational numbers, so x0,y0.

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