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

Find the orthogonal trajectories of xy=c .

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__________

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

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.

The equation to the orthogonal trajectories of the system of parabolas y=ax^2 is

The value of k such that the family of parabolas y=cx^(2)+k is the orthogonal trajectory of the family of ellipse x^(2)+2y^(2)-y=c, is

Find the equation of the circle which cuts orthogonally the circle x^2+y^2-4x+2y-7=0 and having the centre at (2,3)

The orthogonal trajectories of the circle x^(2)+y^(2)-ay=0 , (where a is a parameter), is

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

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