Find the orthogonal trajectories of `xy=c`.

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

Find the orthogonal trajectory of y^2=4a x (a being the parameter).

Find the orthogonal trajectory of y^2=4a x ( a being the parameter).

Find the orthogonal trajectory of y^2=4a x (a being the parameter).

The equation to the orthogonal trajectories of the system of parabolas y=ax^2 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 (2, 4) is a point on the orthogonal to trajectory of x^(2) + y^(2) - ay = 0 , then the orthogonl trajectory is a circle with radius__________

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

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

A family of curves is such that the slope of normal at any point (x, y) is 2(1-y). The orthogonal trajectories of the given family of curves is