Show that the points `A(5,5), B(6,4 and D(7,1)` all lies on the circle. Find the centre, radius and equation of circle.

Show that the points A(5,5),B(6,4),C(-2,4) and D(7,1) all lies on the circle.Find the centre,radius and equation of circle.

Show that the points (5, 5), (6, 4), (-2, 4) and (7, 1) , all lie on a circle. Find its equation, centre and radius.

Show that the points A(1,0),B(2,-7),C(8,1) and D(9,-6) all lie on the same circle.Find the equation of this circle,its centre and radius.

Show that the points (9, -2), (-5, 12) and (-7, 10) lie on that circle whose centre is the point (1, 4)

Show that the points (5, 5 ), (6, 4 ), (-2, 4) and (7, 1 ) are concyclic, i.e., all lie on the same circle. Find the equation, centre and radius of this circle.

Show that the points (7,5),(6,-2),(-1,-1) and (0,6) are concyclic.Also find theradius and the centre of the circle on which they lie.

Prove that the points (1,-6), (5,2) , (7,0) and (-1,-4) are concyclic. Find the radius of the circle .

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.

Find the equation of the circle with centre: (1, 1) and radius

Points A(-1, y) and B(5, 7) lie on a circle with centre O(2, -3y) . Find the values of y.