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The general solution of the differential equation of all circles having centre at A(-1, 2) is ..... .A. `x^(2)+y^(2)+x-2y+c=0`B. `x^(2)+y^(2)-2x+4y+c=0`C. `x^(2)+y^(2)-x+2y+c=0`D. `x^(2)+y^(2)+2x-4y+c=0`

Answer» Correct Answer - D
General equation of a circle with centre (-g,-f) is
`x^(2)+y^(2)+2gx+2fy+c=0` ltbr gt If `(-g,-f)=A(-1,2)`
Then equation of circle,
`x^(2)+y^(2)+2x-4y+c=0`


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