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Show that the circles x^2 + y^2 + 2x-8y+...

Show that the circles `x^2 + y^2 + 2x-8y+8=0` and` x^2 + y^2 + 10x - 2y+ 22=0` touch each other. Also obtain the equations of the two circles, each of radius 1, cutting both these circles orthogonally.

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