Find the radius of the circle `(xcosalpha+ysinalpha-a^2)+(xsinalpha-ycosalpha-b^2)=k^2,ifalpha` varies, the locus of its centre is again a circle. Also, find its centre and radius.

Find the radius of the circle (x cos alpha+y sin alpha-a)^(2)+(x sin alpha-y cos alpha-b)^(2)=k^(2), if alpha varies,the locus of its centre is again a circle.Also,find its centre and radius.

Show that |(z -2)/(z - 3)| = 2 represents a circle, find its centre and radius.

Find the centre and radius of the circle: x^(2)+(y-1)^(2)=2

Find the centre and radius of the circles 2x^(2)+2y^(2)-x=0

find the equation of circle whose centre (2, 4 ) and radius 5

Find the equation of circle with centre ( 3, - 2) and radius 5.

Find the equation of circle with centre (-1,-2) and radius 5

Show that the equation x^(2)+y^(2)+x-y=0 represents a circle find its centre and radius.