the locus of center of the circle touching x-axis and the line y=x is Share with your friends Share 1 Anuradha Sharma answered this Dear Student, Equation of circle will be x-h2+y-k2=k2Now perpendicular from center to line x-y = 0 k = h-k1+12k = h+kh = 2-1kPutting h= x and k=y x = 2-1y is the required locus.Regards -2 View Full Answer