A circle has radius 3 units and its centre lies on the line `y=x-1.` Find the equation of the circle, if it passes through `(7,3)dot`

Explanation

Given circle has radius= `3`


By distance formula,


`(a−7)^2+(b−3)^2=9` …(1)


`(a, b)` lies on `y = x – 1`


`b = a – 1`


Substituiing b in (1), we get


`(a−7)^2+(a−4)^2=9`


`a^2−14^a+49+a^2−8a+16=9`


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