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Show that if the length of the tangent f...

Show that if the length of the tangent from a point `P` to the circle `x^2 + y^2 = a^2` be four times the length of the tangent from it to the circle `(x-a)^2 + y^2 = a^2`, then `P` lies on the circle `15x^2 + 15y^2 - 32ax + a^2=0`.

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