Write the equation of the circle passing through (3,4) and touching y-axis at the origin.

Explanation

Give: the circle passes through origin and touches the Y-axis.


Hence, the centre lies on the X-axis. coordinates of centre are `(a, 0 )`.


Given: the circle passes through `(3,4)`


Hence,` sqrt{(a-3)^{2}+(0-4)^{2}}=a `


`Rightarrow a^{2}+9-6 a+16=a^{2} `


`Rightarrow-6 a+25=0`


`Rightarrow a=frac{25}{6}`


Hence, Required equation of circle is


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