Figure is a graph of which of the following?

x^{2} + y^{2} = 9

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| x | = 3

and

| y | = 3

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| x + y | = 3

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| x | + | y | = 3

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x - y = 3

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Solution

The correct option is D $| x | + | y | = 3$
The equations of all the four lines in the graph shown is $x + y = 3$ , $x - y = 3$ , $- x + y = 3$ , $- x - y = 3$
Which implies $| x | + | y | = 3$ represents given graph.
So the correct option is $D$ .

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