Obtain the differential equation of the family of circles passing through the fixed points `(a, 0)` and `( a, 0) `

Explanation

let the centre be (0,h) and radius will be a

the equation we get is

`x^2 + (y-h)^2 = a^2 + h^2`

`x^2 +y^2 +cancel(h^2) - 2*h*y = a^2 +cancel(h^2)`

`x^2 + y^2 - 2*y*h = a^2 `

diiferentitating the eqn of circle wrt x
`2*x + 2*y*y' - 2*h*y' = 0`

`x+y'(y-h) = 0`

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