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A Circle and the 4 Quadrants

SATMAT-C4YLJP

Circle $A$ is defined by the equation: $ { x }^{ 2 }-2x+{ y }^{ 2 }+6y+3=0 $. How many different quadrants does the graph of circle $A$ pass through? (No Calculator)

A

$1$

B

$2$

C

$3$

D

$4$