Question

The differential equation of the family of circles of radius'r whose center lie on the x-axis is

Answer 1

Answer:

Equation ⇒(x−h)

2

+y

2

=h

2

x

2

+y

2

+h

2

−2hx=h

2

x

2

+y

2

−2hx=0

2x+2y

dx

dy

−2h=0

h=x+y

dx

dy

x

2

+y

2

−2x(x+y

dx

dy

)=0

x

2

+y

2

−2x

2

−2xy

dx

dy

=0

y

2

−x

2

−2xy

dx

dy

=0