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) $x ^ { 2 } - 8 y ^ { 2 } = 0$.
D) $x ^ { 2 } + 8 y ^ { 2 } = 0$.
E) $x ^ { 2 } + 9 y ^ { 2 } = C$.

Question

Quizplus · Accepted Answer

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) $x ^ { 2 } - 8 y ^ { 2 } = 0$.
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 $y = k x ^ { 9 }$