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Question

The center of a circle that is orthogonal to the circles described by $x^2 + y^2 + 6x - 1 = 0$ and $x^2 + y^2 + x + y - 3 = 0$ is ........

$\left(\frac{1}{7}, \frac{9}{7}\right)$

$\left(-\frac{1}{7}, -\frac{9}{7}\right)$

$\left(\frac{1}{7}, -\frac{9}{7}\right)$

$\left(-\frac{1}{7}, \frac{9}{7}\right)$

Solution

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