Obtaining Centre and Radius of a Circle from General Equation of a Circle
The center of...
Question
The center of the circle given by the equation x2+y2−4x+6y−51=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)