Difference of Reciprocals

For all non-zero real numbers x and y such that xy = xy,

  1. 0
  2. -1
  3. yx


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Hang on here. First of all, are there any numbers such that xy = xy?

Well, xy = xyxxy = yx(1 – y) = yx = .

If y = 3, say, then x = .

Checking, xy = .

And, xy = .

Okay, there are such numbers, so let�s figure out the answer:

.

The answer is (d).

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