`f(x , y)=x^2+y^2+2a x+2b y+c=0`represents a circle. If `f(x ,0)=0`has equal roots, each being `2,`and `f(0,y)=0`has 2 and 3 as its roots, then the center of the circle is`(2,5/2)`(b) Data are not sufficient`(-2,-5/2)`(d) Data are inconsistentA. `(2,5//2)`B. Data are not sufficientC. `(-2,-5//2)`D. Data are inconsistent.

`f(x , y)=x^2+y^2+2a x+2b y+c=0`represents a circle. If `f(x ,0)=0`has

1.	`f(x , y)=x^2+y^2+2a x+2b y+c=0`represents a circle. If `f(x ,0)=0`has equal roots, each being `2,`and `f(0,y)=0`has 2 and 3 as its roots, then the center of the circle is`(2,5/2)`(b) Data are not sufficient`(-2,-5/2)`(d) Data are inconsistentA. `(2,5//2)`B. Data are not sufficientC. `(-2,-5//2)`D. Data are inconsistent.
Answer» Correct Answer - 3 `x^(2)+2ax+c=(x-2)^(2)` or `-2a=4,c=4` or `a= -2,c=4` `y^(2)+2by+c=(y-2)(y-3)` or `-2b=5,c=6` or `b=- (5)/(2),c=6` Clearly, the data are not consistent.

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