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

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

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