Find the Orthogonal Trajectories of the Family of Curves $$y = k x ^ { 9 }$$

question 14

Multiple Choice

Find the orthogonal trajectories of the family of curves.
$$y = k x ^ { 9 }$$

• A) \(x ^ { 2 } - 8 y ^ { 2 } = 0\)
• B) \(x ^ { 2 } - 8 y ^ { 2 } = C\)
• C) \(x ^ { 2 } - y ^ { 2 } = 0\)
• D) \(x ^ { 2 } + 8 y ^ { 2 } = 0\)
• E) \(x ^ { 2 } + 9 y ^ { 2 } = C\)