1.

Which of the following relations are both odd and even? I. x^(2)+y^(2)=1 II. x^(2)-y^(2)=0 III. x+y=0

Answer»

only III
only I and II
only I and III
only II and III

Solution :The ANALYSIS of RELATION III in the above examples INDICATES that I and II are both even and ODD. Since -x+y`NE0` when x+y=0 unless x=0, III is not even, and is therefore not both even and odd.


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