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If the length of the tangent drawn from ...

If the length of the tangent drawn from `(alpha, beta)` to the circle `x^2 + y^2=6` be twice the length of the tangent from the same point to the circle `x^2 + y^2 + 3x + 3y = 0`, then prove that `alpha^2 + beta^2 +4alpha +4beta +2=0`

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