Ononot — Let P(x, y) be a point such that the ratio of the square of

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Coordinate Geometryhard

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Let $P(x, y)$ be a point such that the ratio of the square of its distance from the line $x + y = 0$ to the square of its distance from the point $(1, -1)$ is constant and equal to $2$ . What is the nature of the locus of $P$ ?