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Question

The center of the circle given by the equation x2+y24x+6y51=0 is .

A
(2,-3)
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B
(-2,3)
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C
(3,-2)
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D
(-3,2)
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Solution

The correct option is A (2,-3)
On comparing the given equation with the standard equation of circle i.e. x2+y2+2gx+2fy+c=0, We get:
2g=-4 and 2f=6
g=-2 and f=3
Also the center of the circle is (-g,-f)
the center of the given circle will be (2,-3)

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