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

A circle of radius 5 is tangent to the line 4x-3y=18 at M(3, -2) and lies above the line. The equation of the circle is

Find the equation of the circle with : Centre (-3, -2) and radius 7 .

Find the equation of the circle that passes through the points (1,0),(-1,0)a n d(0,1)dot

(i) Fid the equation of the circle passing through the origin and having the centre at (-4,-3). (ii) Find the equation of the circle passing through (-2,3) and having centre at (0,0). (iii) Find the equztion of the circle passsing through (3,4) and having the centre at (-3,4). br> (iv) Find the equation of the circle whose centre is (-1,2) and whcih passes through (5,6).

Find the equation of the circle passing through (-1,0) and touching x+ y-7 = 0 at (3,4)

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

(i) Find the equation of a circle passes through the point (4,3) and whose centre is (-3,2).

A circle passes through the points ( 2,3) and ( 4,5) . If its centre lies on the line, y-4x+ 3 =0 , then its radius is equal to :

The line 5x - y = 3 is a tangent to a circle at the point (2, 7) and its centre is on theline x + 2y = 19 . Find the equation of the circle.

Find the equation of the circle which passes through (6,5) (4,1) and whose centre lies on 4x+y-16=0