Given a circle [i]C[/i] with center[color=#0a971e] [b]O[/b][/color], and point [b] [color=#0a971e] A[/color] [/b] in the exterior of [i]C[/i], construct the unique circle [i]C[/i] with center [b] [color=#0a971e] A[/color] [/b] , orthogonal to[i] C[/i].