The orthogonal trajectories to the family of curve `y= cx^(K)` are given by :

The orthogonal trajectories of the family of curves a^(n-1)y=x^(n) are give by

The orthogonal trajectories of the family of curves y=a^nx^n are given by (A) n^2x^2+y^2 = constant (B) n^2y^2+x^2 = constant (C) a^nx^2+n^2y^2 = constant (D) none of these

The orthogonal trajectories of the family of curves y=a^nx^n are given by (A) n^2x^2+y^2 = constant (B) n^2y^2+x^2 = constant (C) a^nx^2+n^2y^2 = constant (D) none of these

The orthogonal trajectories of the family of curves a^(n-1)y = x^n are given by

The orthogonal trajectories of the family of curves an a^(n-1)y=x^(n) are given by (A)x^(n)+n^(2)y= constan t(B)ny^(2)+x^(2)=constan t(C)n^(2)x+y^(n)=constan t(D)y=x

The orthogonal trajectories of the system of curves y^2 =cx^3 are

The orthogonal trajectories of the family of curves an a^(n-1)y = x^n are given by (A) x^n+n^2y=constant (B) ny^2+x^2=constant (C) n^2x+y^n=constant (D) y=x

Orthogonal trajectories of the family of curves x^2 + y^2 = c^2