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) $x ^ { 2 } + 9 y ^ { 2 } = C$

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The Answer of 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) $x ^ { 2 } + 9 y ^ { 2 } = C$

Find the Orthogonal Trajectories of the Family of Curves y=kx9y = k x ^ { 9 }y=kx9

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