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A (-1, 0) and B (2, 0) are two given po...

A `(-1, 0) and B (2, 0)` are two given points. A point M is moving in such a way thatthe angle B in the triangle AMB remains twice as large as the angle A. Show that the locus of the pointM is a hyperbola. Find the eccentricity of the hyperbola.

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