The Ellipsoid $8 x ^ { 2 } + 3 y ^ { 2 } + z ^ { 2 } = 14$

question 3

Multiple Choice

The ellipsoid $8 x ^ { 2 } + 3 y ^ { 2 } + z ^ { 2 } = 14$ intersects the plane $y = 2$ in an ellipse. Find parametric equations for the tangent line to this ellipse at the point $( 1,2,2 )$ .

• A) \(x = 1 + t , y = 2 , z = - 4 t + 2\)
• B) \(x = 1 + t , y = 2 , z = - 4 t - 2\)
• C) \(x = 1 + t , y = 1 , z = 4 t + 2\)
• D) \(x = t , y = 2 , z = - 4 t + 2\)
• E) \(x = 1 + t , y = 2 , z = 4 t - 2\)

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