Find the equations of the circles touching y-axis at (0,3) and making an intercept of 8 units on the x-axis.

Explanation

[ # XI_RD_24_025]


In `triangle A O C`


`A O^{2} =A C^{2}+C O^{2} `


`C A O)^{2} =(4)^{2}+(3)^{2}`


`A O =sqrt{16+9} `


`=sqrt{25}=5`


equation of circle `(5,3) r=5`


`(x-5)^{2}+(y-3)^{2}=r^{2} `


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