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Actually if u just go through the options.. you'll notice that option C, is a perfect square.. which has to be greater than or equal to zero. Now looking back at the question, we know xy>0, which implies x and y are not equal to 0 and are of same sign. therefore x+y will be a non zero number and its square would be greater than 0.
Re: Given that xy > 0, which of the following must also be [#permalink]
11 Apr 2015, 18:13
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We are not told that X & Y were integers. Consider X=Y=1/2
only option C fits in.....
Dear rohit8865, Quite true, my friend: the values of x & y are not necessarily integers and not necessarily positive. The two perfect squares, (C) & (E), must be greater than or equal to zero. As you figured out, if the two variables are equal non-zero numbers (whether positive or negative), then (E) will equal zero and not work. Only (C) works. Good job! Mike
Mike McGarry Magoosh Test Prep
Re: Given that xy > 0, which of the following must also be
25 Dec 2015, 08:25