It is given that a circle of radius 4 units touches the coordinate axes in the first quadrant.Centre of the given circle = (4, 4)The equation of the given circle is ( x − 4 )2 + ( y − 4 )2 = 16The images of this circle with respect to the line mirrors x = 0 and y = 0. They have their centres at ( − 4, 4 ) and ( 4, − 4 ),respectively.∴ Required equations of the images = ( x + 4 )2 + ( y − 4 )2 = 16 and ( x − 4 )2 + ( y + 4 )2 = 16= x2 + y2 + 8x − 8y + 16 = 0 andx2 + y2 − 8x + 8y + 16 = 0