Show that the plane $2x - 2y + z + 12 = 0$ touches the sphere $x^2 + y^2 + z^2 - 2x - 4y + 2z - 3 = 0$ and find the point of contact.
Added by Robert R.
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The equation of the sphere is given as: x^2 + y^2 + 22 - 2x - 4y + 2z - 3 = 0 Rearranging the terms, we get: x^2 - 2x + y^2 - 4y + 2z + 19 = 0 Show more…
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