Coordinate geometry - Circles

SOURCE:COMPETITION
Number of Problems: 2. : (Book)

1.

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Two circles of radius $2$ are centered at $(2,0)$ and at $(0,2).$ What is the area of the intersection of the interiors of the two circles?

$extbf{(A) } pi -2 qquad extbf{(B) } frac{pi}{2} qquad extbf{(C) } frac{pi sqrt{3}}{3} qquad extbf{(D) } 2(pi -...$

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2.

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Which of the following describes the graph of the equation $(x+y)^2=x^2+y^2$ ?

$mathrm{(A) } extrm{the,empty,set}qquad mathrm{(B) } extrm{one,point}qquad mathrm{(C) } extrm{two,lines} ...$

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