Question

Centre of circle $(x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$(x_1,y_1)$ and $(x_2,y_2)$ are extreme points of diameter. Hence centre is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}).$