Find the orthogonal trajectories of family of curves `x^2+y^2=c x`

Find the orthogonal trajectories of xy=c

Find the orthogonal trajectories of xy=c

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

The orthogonal trajectories of the family of curves y=Cx^(2) , (C is an arbitrary constant), is

STATEMENT-1 : The orthogonal trajectory of a family of circles touching x-axis at origin and whose centre the on y-axis is self orthogonal. and STATEMENT-2 : In order to find the orthogonal trajectory of a family of curves we put -(dx)/(dy) in place of (dy)/(dx) in the differential equation of the given family of curves.

If the orthogonal trajectories of the family of curves e^(n-1)x=y^(n) .(where e is a parameter) always passes through (1, e) and (0, 0) then value of n is

Orthogonal trajectories of the family of curves x^(2)+y^(2)=a is an arbitrary constant is

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