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The (x-x1)(x-x2)+(y-y1)(y-y2=0 represent...

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

A

`((x_(1)-x_(2))/(2), (y_(1)-y_(2))/(2))`

B

`((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2))`

C

`(x_(1), y_(2))`

D

`(x_(2), y_(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
The given equation represents a circle having line segment joining `(x_(1), y_(1))` and `(x_(2),y_(2))` as a diameter. So, the coordinates of its centre are `((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))`.
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