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Q.

The number of ordered pairs of integers (x, y) satisfying the equation x2+6x+y2=4 is

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a

2

b

4

c

6

d

8

answer is D.

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Detailed Solution

x2+6x+y2=4⇒(x+3)2+y2=13⇒(x+3,y)=(±3,±2) or (±2,±3)⇒x=0,y=±2,x=−6,y=±2x=−1,y=±3,x=−5,y=±3
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The number of ordered pairs of integers (x, y) satisfying the equation x2+6x+y2=4 is