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(B) Let the point be $P(x, y)$.According to the given condition,the distance from $P(x, y)$ to $(-1, 0)$ is $3$ times the distance from $P(x, y)$ to $

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$A$ circle

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(B) Let the point be $P(x, y)$.According to the given condition,the distance from $P(x, y)$ to $(-1, 0)$ is $3$ times the distance from $P(x, y)$ to $(0, 2)$.$\sqrt{(x + 1)^2 + (y - 0)^2} = 3 \sqrt{(x - 0)^2 + (y - 2)^2}$Squaring both sides:$(x + 1)^2 + y^2 = 9(x^2 + (y - 2)^2)$$x^2 + 2x + 1 + y^2 = 9(x^2 + y^2 - 4y + 4)$$x^2 + 2x + 1 + y^2 = 9x^2 + 9y^2 - 36y + 36$Rearranging the terms to one side:$8x^2 + 8y^2 - 2x - 36y + 35 = 0$This equation is of the form $Ax^2 + Ay^2 + Dx + Ey + F = 0$,which represents a circle.

$A$ point moves such that its distance from the point $(-1, 0)$ is always three times its distance from the point $(0, 2)$. The locus of the point is

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