The circle passing through the point (-1,0) and touching the y-axis at (0, 2) also passes through the point
$$\left(-\frac{3}{2}, 0\right)$$
$$\left(-\frac{5}{2}, 2\right)$$
$$\left(-\frac{3}{2}, \frac{5}{2}\right)$$
$$\left(-4, 0\right)$$
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