$\text { Find the orthogonal trajectories of the family } 3 x ^ { 2 } + 6 y ^ { 2 } = C \text {. }$

question 47

Multiple Choice

$\text { Find the orthogonal trajectories of the family } 3 x ^ { 2 } + 6 y ^ { 2 } = C \text {. }$

• A) \(6 y ^ { 2 } - 3 x ^ { 2 } = k\)
• B) \(| y | ^ { 3 } = k | x | ^ { 6 }\)
• C) \(| y | ^ { 6 } = k | x | ^ { - 6 }\)
• D) \(6 y ^ { 2 } + 3 x ^ { 2 } = k\)
• E) \(| y | ^ { 3 } = k | x | ^ { - 6 }\)

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