If a circle passes through the points (0,0),(0, y) , then the coordinates of its centre are

Step-by-step solution

Let (h, k) be the centre of circle aligned & ( h -0)^2+( k -0)^2 = ( h - x )^2+( k -0)^2 = ( h -0)^2+( k - y )^2 & h ^2+ k ^2=( h - x )^2+ k ^2 = h ^2+( k - y )^2 & -2 hx + y ^2=0 x ( x -2 ~h )=0 and & -2 ky + y ^2=0 and y ( y -2 k )=0 & x =0,2 ~h and y =0,2 k & x =2 ~h and y =2 k , h = x 2 , k = y 2 aligned