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.

Find the centre and radius of the circle x^2+y^2=25

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

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

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

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

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).