The plane x + y + 2z = 6 intersects the paraboloid z = x2 + y² in an ellipse. Find the points on this ellipse that are nearest to and farthest from the origin. Point farthest away occurs at ). Point nearest occurs at ).

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A: To write the equation for the ellipse when major axis of length 34 and foci located at  0, 8 and 0,…

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