Question

The equation $(x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0$ represents a circle whose centre is

• A. $(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2})$
• B. $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$
• C. $(x_1,y_1)$
• D. $(x_2,y_2)$

Answer 1

Answer: (B)

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Given equation of circle is
(x−x1)(x−x2)+(y−y1)(y−y2)=0