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A point $P$ moves such that the difference of its distances from two given points $(c, 0)$ and $(-c, 0)$ is constant. What is the locus of the point $P$ ?
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Hyperbola
When a point $P$ mowes such that the difference of its distances from two given points $(c, 0)$ and $(-c, 0)$ is constant, then the locus of the point $\mathrm{P}$ is hyperbola. It is the definition of hyper bola also.
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