Find the equation of the circle passing through the point (7, 3) having radius 3 units and whose centre lies on the line `y = x-1`

Explanation

We need to find equation of a circle whose `r = 3`.
Center lies on the line `y = x - 1`
`:.` Coordinates of center: `C(x_1, x_1-1)`
General equation of the circle:
`(x-h)^2 + (y-k)^2 = r^2`
Let cordinates of center be `(x_1,x_1-1)`
`rArr (x-x_1)^2 + (y - (x_1-1))^2 = 9`
Given point `(7,3)` passes through the circle.
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