Two circles, each of radius 5, have a common tangent at (1, 1) whose equation is  3x+4y-7= 0. Then, their centres, are

Clearly, (1, 1) is the mid-point of the line segment joining the centres of the circles and centres lie on the line passing through (1, 1) and perpendicular to 3x+4y−7=0 i.e. 4x−3y−1=0 Clearly, coordinates of points given in option (c) satisfy these two conditions..