Find the equations of the circles passing through two points on y-axis at distance 3 from the origin and having radius 5.

Explanation

Let the required equation of the circle be

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

The circle passes through the points `(0,3)` and `(0,-3)`.

`therefore(0-h)^{2}+(3-k)^{2}=a^{2} ldots(1)`

And,

`(0-h)^{2}+(-3-k)^{2}=a^{2} ldots(2)`

Solving (1) and (2), we get:

`k=0`

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