Find Equations for the Tangent Plane and the Normal Line $x ^ { 2 } + 9 y ^ { 2 } + 9 z ^ { 2 } = 22$

question 134

Multiple Choice

Find equations for the tangent plane and the normal line to the surface with equation $x ^ { 2 } + 9 y ^ { 2 } + 9 z ^ { 2 } = 22$ at the point $P ( 2,1,1 )$ .

• A)
• \(x + 9 y + 9 z = 22 , \frac { x - 2 } { 2 } = y - 9 = z - 9\)
• B)
• \(x + 9 y + 9 z = 22 , \frac { x - 2 } { 2 } = \frac { y - 1 } { 9 } = \frac { z - 1 } { 9 }\)
• C)
• \(2 x + 9 y + 9 z = 22 , \quad \frac { x - 2 } { 2 } = \frac { y - 1 } { 9 } = \frac { z - 1 } { 9 }\)
• D)
• \[2 x + 9 y + 9 z = 22 , \frac { x - 2 } { 2 } = y - 9 = z - 9\]

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