Find the trajectory equation of the center m of the moving circle which is circumscribed with the circle (x + 2) 2 + y2 = 2 and passes through the fixed point B (2,0)

The center of circle (x + 2) 2 + y2 = 2 is a (- 2, 0), and the radius is 2 Let the center of the moving circle be m (x, y) and the radius be r (3 points) from the known conditions, we know that | Ma | = R + 2, | MB | = R, so | Ma | - | MB | = 2 (6 points) so the locus of point m is the right branch of hyperbola with a and B as the focus （8...

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